WEBVTT Kind: captions Language: en 00:00:01.000 --> 00:00:03.380 [background conversations] 00:00:03.380 --> 00:00:05.140 Good morning. Hello. 00:00:05.140 --> 00:00:07.420 So welcome to this – today’s, or this week’s, 00:00:07.420 --> 00:00:11.100 Earthquake Science Center seminar. And before we introduce the speaker, 00:00:11.100 --> 00:00:12.940 I just want to remind everyone that next week, 00:00:12.940 --> 00:00:16.730 Diane Moore of Building 3A will be here to talk about 00:00:16.730 --> 00:00:20.730 the Bartlett Springs Fault and some of the work she’s been doing on that. 00:00:20.730 --> 00:00:22.840 And then Mehmet, if you don’t … 00:00:25.260 --> 00:00:29.520 - Well, I’m happy to welcome David McCallen here today. 00:00:29.520 --> 00:00:33.060 And he’s currently – is it on? - It’s on. [inaudible] 00:00:33.060 --> 00:00:39.640 - Okay. [laughs] Associate vice president of UC-Berkeley 00:00:39.640 --> 00:00:45.280 Office of President and associate vice president for UC National Laboratories. 00:00:45.920 --> 00:00:51.300 He received his Ph.D. degree from UC-Davis. 00:00:51.300 --> 00:00:54.440 And his research interests are in the area of 00:00:54.440 --> 00:00:58.940 advanced computational modeling of structures. 00:01:00.160 --> 00:01:05.500 He participates in the UC oversight of – this is a major task – 00:01:05.500 --> 00:01:08.840 of the three UC-managed National Laboratories. 00:01:08.840 --> 00:01:13.600 That is Lawrence Berkeley, Lawrence Livermore, and Los Alamos. 00:01:14.420 --> 00:01:19.280 Prior to his current positions, he spent 25 years in a variety of technical 00:01:19.280 --> 00:01:27.400 managerial positions at NL – Lawrence Livermore National Laboratory now. 00:01:27.400 --> 00:01:31.720 He also continues in a technical role as a visiting researcher at Lawrence 00:01:31.720 --> 00:01:35.960 Berkeley National Laboratory where he leads two major 00:01:35.960 --> 00:01:40.560 U.S. DOE research projects developing advanced relation 00:01:40.560 --> 00:01:45.690 capabilities for assessment of earthquake hazard and risk. 00:01:45.690 --> 00:01:50.050 So I’m really happy to welcome David here, and I’m sure you’ll 00:01:50.050 --> 00:01:54.420 enjoy what he has to say. - Well, thank you very much. 00:01:54.420 --> 00:01:56.380 It truly is a pleasure to be here with you today. 00:01:56.380 --> 00:02:01.920 I was just mentioning to some of my old acquaintances in college this morning, 00:02:01.920 --> 00:02:06.570 the last time I was down here to sort of judge the epoch, your doors were open, 00:02:06.570 --> 00:02:10.490 and there was a map center that the public could walk in and out of. 00:02:10.490 --> 00:02:14.329 So it certainly is a sign of the times in the – the battened-down mentality. 00:02:14.329 --> 00:02:17.590 And I don’t know how long it’s been that way, but that sort of 00:02:17.590 --> 00:02:21.720 gauges you about the duration it’s been since I came down here. 00:02:21.720 --> 00:02:24.409 And I used to come down quite a bit in my role at Livermore. 00:02:24.409 --> 00:02:28.540 We were working on a number of earthquake hazard issues 00:02:28.540 --> 00:02:31.430 for Yucca Mountain – and talked with Tom a little bit about that this morning – 00:02:31.430 --> 00:02:32.901 and other things. So I had the opportunity 00:02:32.901 --> 00:02:35.799 to come down and visit with Tom and Paul Spudich 00:02:35.799 --> 00:02:38.720 and others through the years. And it was – it was always fun 00:02:38.720 --> 00:02:40.760 to come down here and have those lively discussions. 00:02:40.760 --> 00:02:44.849 So I really appreciate the opportunity to speak with you today. 00:02:44.849 --> 00:02:47.959 I am not going to talk about my administrative role for the next hour. 00:02:47.959 --> 00:02:50.879 I think you’d be bored to death unless you’re interested in, you know, 00:02:50.879 --> 00:02:53.900 the bid for Los Alamos we’re going through, and might make 00:02:53.900 --> 00:02:56.739 a great conversation, and we could talk over lunch. 00:02:56.739 --> 00:03:00.230 But I’m really going to talk about sort of my downtime, 00:03:00.230 --> 00:03:04.120 I would characterize – my fun time. And I have a supervisor, 00:03:04.120 --> 00:03:07.520 Professor Kim Budil, who is good enough to let me split my time 00:03:07.520 --> 00:03:10.640 between UC Office of the President and Lawrence Berkeley National Laboratory, 00:03:10.640 --> 00:03:13.060 where I have a number of DOE projects going. 00:03:13.060 --> 00:03:17.230 I’m going to talk about one of our smaller projects, actually – 00:03:17.230 --> 00:03:21.209 something that we’ve kind of done on a shoestring today, but it’s really 00:03:21.209 --> 00:03:24.950 something that I’m very excited about and have a lot of interest in. 00:03:24.950 --> 00:03:28.359 We’ve gotten some decent results, so I want to talk to you about that. 00:03:28.359 --> 00:03:31.290 And so I’m going to begin by identifying our collaborators 00:03:31.290 --> 00:03:35.620 in this project – always important. This sort of sensor concept 00:03:35.620 --> 00:03:39.010 we’re working on – and I’ll speak in a moment to how this idea 00:03:39.010 --> 00:03:42.189 sort of came to me when I was working at Livermore a few years ago 00:03:42.189 --> 00:03:46.010 in a area totally unrelated to earthquakes and sort of made a connection. 00:03:46.010 --> 00:03:49.099 But I’ve been involved in developing this concept. 00:03:49.099 --> 00:03:53.510 Dr. Floriana Petrone from Sapienza University in Rome 00:03:53.510 --> 00:03:57.469 is a really, really great postdoc – a postdoctoral scholar we have 00:03:57.469 --> 00:03:59.279 up at Lawrence Berkeley Laboratory. 00:03:59.279 --> 00:04:02.400 She is heavily involved in the simulation piece of this. 00:04:02.400 --> 00:04:05.909 Many of you may know Ian Buckle – a very prominent earthquake engineer 00:04:05.909 --> 00:04:10.200 at the University of Nevada. Ian has gotten involved in terms of 00:04:10.200 --> 00:04:13.329 the experimentation I’m going to talk about in part two of this. 00:04:13.329 --> 00:04:16.359 And then, Chico State University, which was actually my undergraduate 00:04:16.359 --> 00:04:20.639 institution when I first went to college – a fellow names Jason Coates, 00:04:20.639 --> 00:04:25.650 who is a research engineer in the Mechatronics Center at Chico State, 00:04:25.650 --> 00:04:28.110 has been developing and building our hardware. 00:04:28.110 --> 00:04:30.280 I mentioned we’ve done this on a shoestring. 00:04:30.280 --> 00:04:33.250 We can’t afford to do [chuckles] a lot of the things we’re doing 00:04:33.250 --> 00:04:35.800 at our National Laboratories. Our overhead rate is high. 00:04:35.800 --> 00:04:38.370 So we have – we have developed a program that’s distributed 00:04:38.370 --> 00:04:42.240 across these institutions, and these are the key players. 00:04:42.240 --> 00:04:45.760 So let me digress for just a minute and sort of give 00:04:45.760 --> 00:04:50.380 the background and some notion of how this idea came to be. 00:04:50.380 --> 00:04:54.539 And when I was at Livermore, I got tasked to being the laser science 00:04:54.539 --> 00:04:57.750 engineering division leader for a couple of years. 00:04:57.750 --> 00:05:03.759 And really, at that time, that project – that focus of that large division was 00:05:03.760 --> 00:05:06.640 building the National Ignition Facility – you may have heard about it – 00:05:06.640 --> 00:05:10.319 at Livermore. And this just shows a schematic 00:05:10.319 --> 00:05:12.599 of the NIF – the National Ignition Facility. 00:05:12.599 --> 00:05:17.360 To give you some context of scales, If you laid football fields across here, 00:05:17.360 --> 00:05:19.910 this is just about a football field of width. 00:05:19.910 --> 00:05:22.909 You can line up three football fields of length down here. 00:05:22.909 --> 00:05:26.259 And then you have a big, giant target chamber here. 00:05:26.259 --> 00:05:30.840 And this National Ignition Facility was built for fundamental research 00:05:30.840 --> 00:05:33.580 and applied research and high-energy density physics. 00:05:33.580 --> 00:05:36.419 And I think people know what the product – principle product 00:05:36.420 --> 00:05:40.260 of Livermore is. They are a stockpile stewardship laboratory. 00:05:40.260 --> 00:05:43.610 Post-1992, they could no longer test nuclear weapons. 00:05:43.610 --> 00:05:48.000 And there’s been – was a big effort to develop simulation capabilities 00:05:48.000 --> 00:05:53.720 and experimental capabilities that would allow them to assure the vitality and 00:05:53.720 --> 00:05:57.220 the reliability of the nation’s deterrent in the absence of underground 00:05:57.220 --> 00:06:01.169 nuclear testing in Nevada. This facility was an important part of that. 00:06:01.169 --> 00:06:07.970 It has 192 laser beams. These laser beams start out as one single low-power beam. 00:06:07.970 --> 00:06:11.730 Goes into a beam splitter. Splits out into 192 beams. 00:06:11.730 --> 00:06:14.139 Those beams rattle back and forth through here 00:06:14.139 --> 00:06:18.289 very quickly and what are called flash lamps go off. 00:06:18.289 --> 00:06:22.900 Those flash lamps pump up that laser in terms of its energy – those 192 beams. 00:06:22.900 --> 00:06:26.680 Those 192 beams come into turning mirrors, and they all focus down, 00:06:26.680 --> 00:06:31.349 in theory, to a single point at the center of that target chamber. 00:06:31.349 --> 00:06:36.370 And they want to focus very accurately. You have a very, very small target that 00:06:36.370 --> 00:06:43.040 has low-atomic-number materials inside. And the idea is to compress that target 00:06:43.040 --> 00:06:47.540 and achieve fusion, for the first time in the laboratory, 00:06:47.540 --> 00:06:50.150 or conditions close to fusion. And that why it’s called 00:06:50.150 --> 00:06:52.800 the National Ignition Facility. You want to get ignition. 00:06:52.800 --> 00:06:55.500 You want to create fusion in a laboratory. 00:06:55.500 --> 00:06:58.470 So to give you some scale – idea of scale, these little 00:06:58.470 --> 00:07:04.060 red boxes are surrounding humans in these various locations. 00:07:04.060 --> 00:07:07.840 So this is a giant facility. A $4 billion facility. 00:07:07.849 --> 00:07:13.479 And when we built this, our principle threat was not earthquakes. 00:07:13.479 --> 00:07:18.069 Our principle threat was vibrations. This whole facility is an optical bench. 00:07:18.069 --> 00:07:22.750 And if you have too much vibration in that system, due to vehicles going by, 00:07:22.750 --> 00:07:26.370 due to air conditioners running, due to people walking down the hall, 00:07:26.370 --> 00:07:29.910 you cannot achieve the pointing accuracy you need, 00:07:29.910 --> 00:07:31.969 which is – which is very, very stringent. 00:07:31.969 --> 00:07:34.810 So one of my engineers – we had to determine, as we built 00:07:34.810 --> 00:07:39.569 this $4 billion facility, if we were ultimately going to be able to achieve 00:07:39.569 --> 00:07:43.090 our pointing accuracy. Because, if we’re not, we’ve got a big problem. 00:07:43.090 --> 00:07:47.330 So we did a lot of design things and very specialized optical design to make 00:07:47.330 --> 00:07:50.990 that platform and that bench stable. But we really didn’t know until we 00:07:50.990 --> 00:07:53.110 built the damn thing if we were going to be able to 00:07:53.110 --> 00:07:55.169 meet our performance requirements. 00:07:55.169 --> 00:07:58.320 Even after we built it, we had to scratch our head and say, 00:07:58.320 --> 00:08:01.420 okay, well, how do we know if we’ve got that pointing accuracy? 00:08:01.420 --> 00:08:05.180 So a couple of our engineers came up with a fairly clever thing. 00:08:05.180 --> 00:08:07.789 At target chamber center, they went out and found 00:08:07.789 --> 00:08:12.349 one of these silicon photodiodes positioning sensitive devices. 00:08:12.349 --> 00:08:15.789 And I’m not a solid-state physicist, so bear with me a minute. 00:08:15.789 --> 00:08:18.969 I’ll tell you the fundamentals of how I understand this works. 00:08:18.969 --> 00:08:23.231 So the laser impinges on this device – this silicon device, as you see 00:08:23.231 --> 00:08:26.530 over on the right-hand side. And this is an actual picture of one. 00:08:26.530 --> 00:08:30.699 When the laser goes into the substrate, there’s a quantum effect, 00:08:30.699 --> 00:08:35.130 and free – electrons are set free. Free electrons. 00:08:35.130 --> 00:08:39.139 If there’s a voltage across this thing, those electrons can then migrate 00:08:39.139 --> 00:08:41.779 through a current out to the edges. 00:08:41.779 --> 00:08:46.490 Turns out the current is directly proportional to the resistance in the 00:08:46.490 --> 00:08:50.950 material, which is directly proportional to the distance from the edge. 00:08:50.950 --> 00:08:54.769 So the bottom line is, if you can measure those currents very quickly, 00:08:54.769 --> 00:08:58.130 you can very, very accurately determine where that laser hits – 00:08:58.130 --> 00:09:00.310 I mean, really, really accurately. 00:09:00.310 --> 00:09:04.730 And so I would – I’ve always said, this is the money shot right here. 00:09:04.730 --> 00:09:08.170 Built the $4 billion laser. We wanted to be able to hit that target 00:09:08.170 --> 00:09:12.959 with the laser beams within 50 microns, which is pretty damn small. 00:09:12.959 --> 00:09:15.019 So we put one of these chips at the center, and we just 00:09:15.019 --> 00:09:18.420 fired the laser a whole bunch of times. And we found out where those lasers 00:09:18.420 --> 00:09:21.730 hit this thing, and here’s the cloud. You can see there’s a bias. 00:09:21.730 --> 00:09:25.510 But lo and behold, the 50 microns we wanted to achieve is right here, 00:09:25.510 --> 00:09:29.850 so there was a big sigh of relief at Livermore when we did this. 00:09:29.850 --> 00:09:32.610 Because we didn’t have a huge vibrational problem. 00:09:32.610 --> 00:09:35.649 And if you think of this, you know, we really met the criteria without 00:09:35.649 --> 00:09:39.180 a lot of room to spare, so that was – that’s the money shot. 00:09:39.180 --> 00:09:42.329 So, you know, we’re going to get around to earthquakes today. 00:09:42.329 --> 00:09:45.750 We’ll jump there next. But the point of this is, 00:09:45.750 --> 00:09:48.520 I had a notion that, god, you know, one of the – 00:09:48.520 --> 00:09:53.380 some of the attributes of this device is that it’s extremely broadband. 00:09:53.380 --> 00:09:55.600 From an engineering standpoint, the physics 00:09:55.610 --> 00:09:58.090 of this thing occur instantaneously. 00:09:58.090 --> 00:10:00.980 So you can measure stuff very, very fast with this type of thing. 00:10:00.980 --> 00:10:03.290 If that – if that laser is vibrating, you know it. 00:10:03.290 --> 00:10:06.970 You can track that thing to extremely high frequency with extreme accuracy. 00:10:06.970 --> 00:10:09.670 You can see we measured within 50 microns. 00:10:09.670 --> 00:10:12.970 And moreover, maybe just as important, you can measure 00:10:12.970 --> 00:10:16.740 a permanent offset just really easily. I mean, it’s trivial. 00:10:16.740 --> 00:10:20.500 If you move that laser over in a static displacement, you know, 00:10:20.500 --> 00:10:23.690 you can measure that. So, in my mind, I thought, ah, 00:10:23.690 --> 00:10:26.720 you know, this would be wonderful for measuring things like structural 00:10:26.720 --> 00:10:30.160 vibrations in an earthquake because it’s incredibly broadband 00:10:30.160 --> 00:10:33.709 and incredibly accurate. Okay, so the only problem 00:10:33.709 --> 00:10:38.380 with that theory is that these chips are extremely expensive. 00:10:38.380 --> 00:10:43.220 You know, they’re precision manufactured, and they’re limited in size. 00:10:43.220 --> 00:10:48.120 So I thought you could scale this thing up to do – measure building 00:10:48.120 --> 00:10:52.160 response and large displacements. Turns out, you can’t do that very well. 00:10:52.160 --> 00:10:56.550 Just the engineering does not permit that. So I was kind of stuck, and sort of 00:10:56.550 --> 00:10:58.700 went away and didn’t think about it much more. 00:10:58.700 --> 00:11:02.340 But then I came back to it just before I left Livermore. 00:11:02.350 --> 00:11:05.139 And to motivate discussion, I want to talk a little bit about 00:11:05.139 --> 00:11:08.220 what engineers care about in a vibrating and deforming building. 00:11:08.220 --> 00:11:10.279 And I want to introduce the concept of interstory drift that 00:11:10.279 --> 00:11:13.050 many of you have probably heard about. And if you think about solid 00:11:13.050 --> 00:11:17.890 mechanisms, and you think about a steel bar – just think of a simple steel bar. 00:11:17.890 --> 00:11:20.899 You can think of characterizing the force deflection behavior 00:11:20.899 --> 00:11:24.110 of that bar in terms of forces and displacements. 00:11:24.110 --> 00:11:27.360 But engineers and continuum mechanics people don’t like to do that. 00:11:27.360 --> 00:11:29.720 Why? Because you have to know what the bar is. 00:11:29.720 --> 00:11:33.089 It doesn’t tell you anything to just say, I put a 1,000-pound force 00:11:33.089 --> 00:11:36.600 on this bar, and it deformed a tenth of an inch. 00:11:36.600 --> 00:11:39.209 That doesn’t tell you a lot unless you know the dimensions of the bar. 00:11:39.209 --> 00:11:42.579 So engineers normalize, and solid mechanics people normalize, 00:11:42.580 --> 00:11:44.200 by thinking of stress and strain. 00:11:44.200 --> 00:11:49.840 So they think of force per unit area or change in length per unit length. 00:11:49.850 --> 00:11:53.230 And so they normalize things that way. I would – I would assert that interstory 00:11:53.230 --> 00:11:56.860 drift is the structural engineer’s normalization of building deformation. 00:11:56.860 --> 00:12:00.350 If you have a building, and you said, during an earthquake, the roof of that 00:12:00.350 --> 00:12:04.380 building displaced 10 inches, that wouldn’t tell you a hell of a lot 00:12:04.380 --> 00:12:09.350 unless you knew whether it was a two-story building or a 40-story building. 00:12:09.350 --> 00:12:12.269 But if you characterize things in terms of interstory drift 00:12:12.269 --> 00:12:15.730 and normalized it that way, then it’s common language between those 00:12:15.730 --> 00:12:19.769 different sizes of buildings just like stress and strain are for a solid. 00:12:19.769 --> 00:12:22.720 And so, if you think of interstory drift – this is a finite element model of a 00:12:22.720 --> 00:12:26.980 building deforming, exaggerated. It’s simply the relative displacement 00:12:26.980 --> 00:12:29.760 between two floor levels divided by that story height, 00:12:29.760 --> 00:12:34.400 usually expressed as a percent. So it is a direct measure of deformation. 00:12:35.500 --> 00:12:38.399 And interstory drift comes into play in earthquake engineering 00:12:38.399 --> 00:12:41.089 in a number of ways – really, three principle different ways. 00:12:41.089 --> 00:12:43.360 Number one, it’s used to define limit states. 00:12:43.360 --> 00:12:46.940 And I’ll refer to the DOE standard for nuclear facilities. 00:12:46.940 --> 00:12:53.170 And they define limit states of that facility of being linear-elastic behavior, 00:12:53.170 --> 00:12:56.930 a very small amount of inelastic behavior, significant inelastic behavior, 00:12:56.930 --> 00:13:01.300 and inelastic behavior short of collapse – four distinct limit states that they 00:13:01.300 --> 00:13:04.320 think about in performance-based design for their facilities. 00:13:04.320 --> 00:13:08.430 Those limit states are defined directly in terms of interstory drift, 00:13:08.430 --> 00:13:10.920 and that’s how you quantify those states. So that’s one way. 00:13:10.920 --> 00:13:13.250 We think of limit states when we design our buildings and 00:13:13.250 --> 00:13:15.620 want to characterize the performance of the building. 00:13:15.620 --> 00:13:19.300 Secondly, we have not-to-exceed drift limits. 00:13:19.310 --> 00:13:22.790 If a building – you can imagine – a tall building moves over too much, 00:13:22.790 --> 00:13:26.250 there’s a large P-delta effect due to gravity loads. 00:13:26.250 --> 00:13:29.579 And that can cause that building to want to collapse. 00:13:29.579 --> 00:13:33.889 And so – another characterize – way that these interstory drifts are characterized 00:13:33.889 --> 00:13:38.650 is to limit the interstory drift for a given earthquake input motion. 00:13:38.650 --> 00:13:42.440 And then finally, where people have gotten to more recently is they’ve 00:13:42.440 --> 00:13:46.470 used interstory drift as a damage indicator post-earthquake. 00:13:46.470 --> 00:13:50.069 In other words, an earthquake occurs. You look at the interstory drift 00:13:50.069 --> 00:13:53.750 that is due to inelastic action and permanent in any building. 00:13:53.750 --> 00:13:56.779 And you characterize and limit that to know whether that 00:13:56.779 --> 00:14:00.290 building has excessive damage. So it’s becoming a – really a broadly 00:14:00.290 --> 00:14:04.260 used quantity and important in earthquake engineering. 00:14:04.260 --> 00:14:08.120 Measuring interstory drift with accelerometers is really hard, 00:14:08.120 --> 00:14:11.340 if not impossible. And I would refer you to two studies – 00:14:11.340 --> 00:14:17.100 one by Wallace and Skolnik at UCLA. And you can see the bottom line there. 00:14:17.100 --> 00:14:21.060 Double-integrating an accelerometer time history and trying to get 00:14:21.060 --> 00:14:26.380 reliable displacements is problematic. And you’re fundamentally conflicted 00:14:26.380 --> 00:14:30.750 by the processing you do to remove drift in things in that accelerometer. 00:14:30.750 --> 00:14:34.290 You’re removing information that you’d like to have because you really 00:14:34.290 --> 00:14:37.529 want to have permanent – measurement of permanent displacement 00:14:37.529 --> 00:14:42.279 as well as dynamic displacement. And Trifunac has looked at this issue 00:14:42.279 --> 00:14:45.569 and has a couple paper as well, from USC, where he talked about 00:14:45.569 --> 00:14:48.649 the fact that getting permanent displacements is very, very hard 00:14:48.649 --> 00:14:50.839 with accelerometers. This was a really good study, 00:14:50.839 --> 00:14:52.699 so if you have an interest in this topic, it’s in the 00:14:52.699 --> 00:14:55.889 Journal of Structural Engineering. I would recommend it. 00:14:55.889 --> 00:14:59.269 So here’s the big idea, or the idea – the big idea. 00:14:59.269 --> 00:15:03.880 So, to exploit the physics of light, just like we did on NIF, 00:15:03.880 --> 00:15:08.870 to measure the deformation of a building during and after an earthquake. 00:15:08.870 --> 00:15:11.920 And so the notion is quite simple. This thing is moving. 00:15:11.920 --> 00:15:16.430 You have interstory drift. Propagate a laser across the story height, 00:15:16.430 --> 00:15:21.339 just like it was coming roof-to-floor here. And on some type of position-sensitive 00:15:21.339 --> 00:15:26.889 detector, measure the shift of that laser. So conceptually, it’s very, very simple. 00:15:26.889 --> 00:15:29.319 That would be a direct measurement of interstory drift. 00:15:29.319 --> 00:15:33.709 And, if you did it with a laser, and your PSD had the attributes of some of those 00:15:33.709 --> 00:15:37.230 earlier sensors I talked about at NIF, it would be extremely broadband. 00:15:37.230 --> 00:15:40.570 You could measure the dynamics over a broad frequency range. 00:15:40.570 --> 00:15:43.250 And you could measure permanent interstory drift. 00:15:43.250 --> 00:15:47.120 And you would have – this is a direct measure map. There’s no post-processing. 00:15:47.120 --> 00:15:49.160 Right after the earthquake, you’d have your information. 00:15:49.160 --> 00:15:54.300 Right now, it would be there. So that’s sort of the underlying concept. 00:15:54.310 --> 00:15:58.899 So we monkeyed around for about a year or two once we realized that we 00:15:58.900 --> 00:16:03.000 couldn’t use these photoelectric chips. And so I’m just going to – 00:16:03.000 --> 00:16:05.980 I’m not going to talk about all the pathways we went down working 00:16:05.990 --> 00:16:09.579 at Livermore, but I’m going to talk about the end result in what we came up with. 00:16:09.579 --> 00:16:13.350 And we came up with something that we call a discrete diode position sensor. 00:16:13.350 --> 00:16:18.790 And it is simply – very simply a staggered array 00:16:18.790 --> 00:16:23.380 of little photoelectric diodes that are very, very inexpensive. 00:16:23.380 --> 00:16:26.500 It’s not continuous. It’s a grid of a whole bunch of them. 00:16:26.520 --> 00:16:31.300 And so, fundamentally, what this does, these serve as on-off switches. 00:16:31.300 --> 00:16:34.870 And I’ll show you in a moment, when a laser hits one of these diodes, 00:16:34.870 --> 00:16:38.500 it creates a voltage. And when the laser goes off the diode, 00:16:38.500 --> 00:16:42.850 the voltage disappears very quickly. So they are simply on-off switches. 00:16:42.850 --> 00:16:46.779 So in your mind’s eye, we take a laser, we put it through a diffractive element 00:16:46.779 --> 00:16:50.110 to create a line source that impinges on this array, and then, when the 00:16:50.110 --> 00:16:55.769 interstory drift proceeds, that laser swoops back and forth over that array, 00:16:55.769 --> 00:16:58.400 and you sample that array very, very rapidly. 00:16:58.400 --> 00:17:01.579 And you know where the laser is. And you know what the time history 00:17:01.579 --> 00:17:05.050 of the drift is, as well as any permanent drift, in theory. 00:17:05.050 --> 00:17:07.110 So this is what the response of a diode looks like. 00:17:07.110 --> 00:17:09.640 This is actual data from one of these little diodes. 00:17:09.640 --> 00:17:13.490 These things cost a buck or two. You sweep the laser over the active 00:17:13.490 --> 00:17:17.120 area of the diode. You can see what the actual voltage looks like. 00:17:17.120 --> 00:17:21.100 It picks up as the diode sweeps across, and then it falls off. 00:17:21.100 --> 00:17:25.459 We put in a comparative circuit. So we turn that into a signal 00:17:25.459 --> 00:17:29.010 that is a top hat signal. The damn thing’s either on or off. 00:17:29.010 --> 00:17:32.470 We can’t have this kind-of-on, kind-of-off stuff in that ramp. 00:17:32.470 --> 00:17:36.289 We set bounds and thresholds, and we go through with this comparator. 00:17:36.289 --> 00:17:41.260 We see that voltage, and bingo. That thing is binary. It’s either on or off. 00:17:41.260 --> 00:17:45.200 And so that’s how we sense how that laser is moving across there. 00:17:45.210 --> 00:17:49.770 There’s a madness and a method to how we stagger these things. 00:17:49.770 --> 00:17:52.950 We stagger them because we want to increase the accuracy measurement. 00:17:52.950 --> 00:17:55.250 And we’ll talk about accuracy in a few moments when we get into 00:17:55.250 --> 00:17:58.440 the experimental campaign. As this laser moves across there, 00:17:58.440 --> 00:18:01.750 we want to know where that laser is, so we stagger this into array. 00:18:01.750 --> 00:18:05.980 And I’ve just indicated, if that’s our laser beam that’s come down and diffracted, 00:18:05.980 --> 00:18:11.210 as it moves from t-1 to t-2 to t-3, these things light up, and successive 00:18:11.210 --> 00:18:15.250 diodes light up, and we know where that laser is, and we translate that 00:18:15.250 --> 00:18:19.730 directly into drift. So I’m going to talk a lot about the validation of this. 00:18:19.730 --> 00:18:25.070 We’ve gone through a very, very extensive campaign of testing this 00:18:25.070 --> 00:18:28.539 concept and building these things. First thing we did was we built a 00:18:28.539 --> 00:18:34.900 very simple test bed at Chico with a very well-controlled precision table. 00:18:34.900 --> 00:18:38.909 And you can just think of this as being a miniature earthquake shake table, 00:18:38.909 --> 00:18:42.780 but with very, very high accuracy and a great deal of controllability. 00:18:42.780 --> 00:18:46.840 We strap the sensor down to that. We put a laser on the roof. 00:18:46.840 --> 00:18:51.290 We put the table on the floor. And we began to test the overall 00:18:51.290 --> 00:18:55.780 diode and the sensor by imposing various motions to this. 00:18:55.780 --> 00:18:59.210 And so we wanted to impose – ultimately, we did a bunch of 00:18:59.210 --> 00:19:02.450 sweep tests – very simple sine waves. But we ultimately wanted to begin to 00:19:02.450 --> 00:19:07.720 understand how this thing would perform for realistic earthquake motions. 00:19:07.720 --> 00:19:10.970 And so Professor Astaneh and I had developed some very detailed 00:19:10.970 --> 00:19:14.630 nonlinear models for steel frame structures a few years ago. 00:19:14.630 --> 00:19:19.210 In this case, a three-story and a 40-story. We took some very strong 00:19:19.210 --> 00:19:23.170 near-field earthquake motions. We applied them to the base of those 00:19:23.170 --> 00:19:27.770 structures, and we looked at some of the extreme interstory drifts that occurred. 00:19:27.770 --> 00:19:32.630 This was the Landers/Lucerne record with a correction that Iwan and 00:19:32.630 --> 00:19:35.260 his student did to try and retrieve the long-period motion. 00:19:35.260 --> 00:19:39.480 So it’s got a very big displacement pulse in it. You can’t see it, but if you band 00:19:39.480 --> 00:19:43.700 pass this and remove the high frequency, you’d see a really big pulse here. 00:19:43.700 --> 00:19:47.240 So we shake this building to it, and up here at about third part of this building, 00:19:47.240 --> 00:19:51.299 you can see the interstory drift. There’s a great deal of inelastic action. 00:19:51.299 --> 00:19:54.640 The building shifts, and then there’s a significant permanent offset 00:19:54.640 --> 00:19:57.780 as the building rings down. So this has both dynamic 00:19:57.780 --> 00:20:00.799 low frequency – it’s about a 4- or 5-second-period building – 00:20:00.799 --> 00:20:04.320 with a large displacement offset – DC offset. 00:20:04.320 --> 00:20:06.350 We took a three-story building – much higher frequency. 00:20:06.350 --> 00:20:09.250 We subjected that to the Turkey earthquake record from 00:20:09.250 --> 00:20:13.669 the near-field. It also as a big pulse. It also has a permanent displacement 00:20:13.669 --> 00:20:17.159 and offset, but much higher frequency. So we took motions like this – 00:20:17.159 --> 00:20:22.179 synthetic motions, and we said, if that was our interstory drift, could the sensor 00:20:22.179 --> 00:20:26.880 measure that in that test bed? So we imparted that motion via this test bed. 00:20:26.880 --> 00:20:29.510 This was the input motion. That’s the output motion. 00:20:29.510 --> 00:20:33.690 The sensor could do it. And moreover, the sensor could to it really, really well. 00:20:33.690 --> 00:20:38.309 So I’m overlaying the imposed interstory drift, and I’m – with the 00:20:38.309 --> 00:20:43.010 interstory drift measured by the DDPS. You can see they track very, very 00:20:43.010 --> 00:20:46.890 accurately, both in terms of waveform, amplitude, and frequency content. 00:20:46.890 --> 00:20:51.080 If you difference those, you can see that, because of the grid layout we have, 00:20:51.080 --> 00:20:55.380 you can measure that drift within 0.1 centimeters, or a millimeter. 00:20:55.380 --> 00:20:57.740 Really, really good accuracy of measuring the drift. 00:20:57.740 --> 00:21:02.000 So for both records, you see that. So that was encouraging. 00:21:02.460 --> 00:21:06.320 So then we asked ourselves in the laboratory, you know, 00:21:06.320 --> 00:21:09.220 we’ve got to think about applying this to a representative structure. 00:21:09.220 --> 00:21:14.220 Just looking at, you know, simple motion is not sufficient. 00:21:14.220 --> 00:21:17.600 That’s really good. It shows us the inherent sensor works. 00:21:17.600 --> 00:21:20.450 But when you think about applying it to a structure, all the sudden, 00:21:20.450 --> 00:21:23.570 you have to worry about a number of other things. 00:21:23.570 --> 00:21:29.820 You know, moving simply uniaxially this way is only part of the problem. 00:21:29.820 --> 00:21:34.100 When a structure vibrates, there are local deformations of the structural members. 00:21:34.100 --> 00:21:38.190 And there are local rotations, and so forth, that you have to account for. 00:21:38.190 --> 00:21:42.240 So we really wanted to construct a building in the laboratory, so we made 00:21:42.240 --> 00:21:46.250 a simple two-story frame – aluminum frame with simple cross-sections. 00:21:46.250 --> 00:21:49.600 Wanted it to be flexible. We had a stepper motor and 00:21:49.600 --> 00:21:51.630 an automatic control system so we could impart 00:21:51.630 --> 00:21:54.450 earthquake motions to this, just like we did at the table. 00:21:54.450 --> 00:21:57.530 And then this thing vibrates like a building, as you’ll see in a minute. 00:21:57.530 --> 00:22:00.900 To get ground truth on drift, we had two string potentiometers – 00:22:00.900 --> 00:22:06.200 a very high quality – here and here, so we could – we knew the input motion. 00:22:06.200 --> 00:22:09.620 We knew the displacement here. We know the displacement here. 00:22:09.620 --> 00:22:11.880 So we can calculate ground truth for interstory drift. 00:22:11.880 --> 00:22:14.240 We can compare that to the sensor measurement. 00:22:16.140 --> 00:22:17.779 Here’s part of the problem. 00:22:17.779 --> 00:22:21.880 And this has been something we’ve been thinking and working at for a while now. 00:22:21.880 --> 00:22:27.970 This is a picture from a finite element model of a segment – a bay of a frame 00:22:27.970 --> 00:22:31.920 undergoing earthquake excitation that we’ve popped out and exaggerated. 00:22:31.920 --> 00:22:35.820 If your sensor is mounted here, you got a little bit of a problem 00:22:35.820 --> 00:22:39.470 because there is a rotation of the frame at that point. 00:22:39.470 --> 00:22:44.730 So if this was the drift that you want to measure – the real drift, 00:22:44.730 --> 00:22:49.850 this would be the erroneous observed drift you have here 00:22:49.850 --> 00:22:54.120 because of this local rotation. And this gave us fits early on. 00:22:54.120 --> 00:22:58.510 Because this is really a correction you have to make to that measurement 00:22:58.510 --> 00:23:00.710 if you really want to measure the overall drift. 00:23:00.710 --> 00:23:03.580 So the way we did that in our first study is, we said, okay, 00:23:03.580 --> 00:23:07.220 we can use these things. We’ll have the DDPS measurement here, 00:23:07.220 --> 00:23:10.540 and we’ll put a second one over here. And we’ll split that laser beam, 00:23:10.540 --> 00:23:12.250 and we’ll measure the vertical displacement here, 00:23:12.250 --> 00:23:14.309 and we’ll know exactly what the rotation is. 00:23:14.309 --> 00:23:17.930 So we can account for that. That worked out great. 00:23:17.930 --> 00:23:20.380 This is an example of that test of that frame. 00:23:20.380 --> 00:23:24.929 If you look here, you can see that laser swooping across that sensor. 00:23:24.929 --> 00:23:27.409 This is, I think, El Centro input ground motion. 00:23:27.409 --> 00:23:32.000 And then we have a second DDPS sensor here to get that rotation. 00:23:32.600 --> 00:23:35.980 Everything seemed to work really well. If you look on the bottom, 00:23:35.980 --> 00:23:39.840 you can see that fracted laser beam sweeping across that array. 00:23:39.840 --> 00:23:44.290 We sample this 384 times a second. So we have a field-programmable 00:23:44.290 --> 00:23:47.020 gate array that swoops through and checks every single one 00:23:47.020 --> 00:23:49.090 of those diodes and the voltage in those diodes, 00:23:49.090 --> 00:23:52.450 and runs it through a comparative circuit 384 times a second. 00:23:52.450 --> 00:23:55.010 So we’re resolving way higher frequencies than we need. 00:23:55.010 --> 00:23:58.380 But that sort of shows you how this thing actually operates. 00:23:58.380 --> 00:24:03.100 So this is data from that test. Up here, in the upper right-hand corner, 00:24:03.100 --> 00:24:09.991 I’m showing you ground truth versus sensor measurement if you don’t do 00:24:09.991 --> 00:24:16.360 that correction for the local rotation of the laser, and that affects that. 00:24:16.360 --> 00:24:19.710 Down here, I’m showing you, once we measure the rotation, 00:24:19.710 --> 00:24:24.840 this is a comparison of the interstory drift from the string encoders, 00:24:24.840 --> 00:24:27.870 which is ground truth, compared to the DDPS sensor. 00:24:27.870 --> 00:24:30.381 And again, really good comparison. You look at the error. 00:24:30.381 --> 00:24:34.050 It’s on the order of 0.15 centimeters. Why is that error a little higher? 00:24:34.050 --> 00:24:35.809 Because you have an error in your rotation measurement 00:24:35.809 --> 00:24:38.320 that you didn’t have when you just looked at this. 00:24:38.320 --> 00:24:41.570 But I’m telling, if you can measure to 0.15 millimeters, you’ve sort of 00:24:41.570 --> 00:24:46.450 got the drift problem knocked. This is – that was El Centro. 00:24:46.450 --> 00:24:50.240 We ran other motions like Landers. Similar observations. 00:24:50.240 --> 00:24:54.539 So one other thing in our technology development that we wanted to do is 00:24:54.539 --> 00:24:59.600 we wanted to develop a predictive capability for these sensor systems. 00:24:59.600 --> 00:25:04.570 We didn’t just want to be reliant on doing a full-up new experiment 00:25:04.570 --> 00:25:07.670 every time we did something. So we began to look at the ability 00:25:07.670 --> 00:25:11.159 of finite element models to predict these sensor performances. 00:25:11.159 --> 00:25:13.710 In other words, if we had a finite element model of a building or a 00:25:13.710 --> 00:25:18.630 test structure, and we could get all the local rotations and displacements 00:25:18.630 --> 00:25:22.250 from that, could we use the finite element model to predict – 00:25:22.250 --> 00:25:24.710 be a predictive tool for sensor performance? 00:25:24.710 --> 00:25:28.330 So we took that test frame they built at Chico, we pulled it, 00:25:28.330 --> 00:25:30.760 and we released it, and let it do a ring-down. 00:25:30.760 --> 00:25:33.860 We got a logarithmic decrement so we could calibrate our damping. 00:25:33.860 --> 00:25:35.680 And then we created a finite element model. 00:25:35.680 --> 00:25:41.240 These are pictures of the finite element model in red predicting 00:25:41.240 --> 00:25:44.770 what the sensors should be measuring, which is the blue. 00:25:44.770 --> 00:25:48.520 So with no rotation correction, we can take our computational model, 00:25:48.520 --> 00:25:51.460 and we predict that. And you can see what the sensor actually did. 00:25:51.460 --> 00:25:54.250 And then you can see with the rotation correction. 00:25:54.250 --> 00:25:59.179 So that was good. So to be clear, there are two elements balled up in here. 00:25:59.179 --> 00:26:01.960 Can we use the displacements and rotations from the 00:26:01.960 --> 00:26:07.200 finite element model as a good surrogate to predict what the sensor will do? 00:26:07.200 --> 00:26:10.110 And can we actually represent the dynamics of that frame? 00:26:10.110 --> 00:26:12.830 And the answer to that is, yeah, we can do a pretty good job on both. 00:26:12.830 --> 00:26:15.669 And I’ll get back to why that’s important in a minute. 00:26:15.669 --> 00:26:19.500 This is just another record. Same-same. So we were feeling pretty good. 00:26:19.500 --> 00:26:25.720 As a bonus, you know, even if you measure deformations in the structure – 00:26:25.720 --> 00:26:27.500 if you think about nuclear facilities and so forth, 00:26:27.500 --> 00:26:30.520 you’d still like to have the accelerations in that structure. 00:26:30.520 --> 00:26:32.809 Be able to get the accelerations. So we asked ourselves, 00:26:32.809 --> 00:26:36.520 sort of as the last step in this first traunch, is there a way that 00:26:36.520 --> 00:26:38.990 we could use these deformation measurements 00:26:38.990 --> 00:26:44.000 to back-calculate acceleration? And so it turns out that you can. 00:26:44.000 --> 00:26:48.600 And if you think about it, this is – I’ve blown up a portion 00:26:48.600 --> 00:26:54.260 of the time history from this sensor here in a small deformation piece. 00:26:54.260 --> 00:26:59.120 And if you look at this, these are really – because of the character of this 00:26:59.120 --> 00:27:04.299 laser sweeping across these diodes, you really get a quantized time history. 00:27:04.299 --> 00:27:07.809 You get little tiny step functions. Right? Because it’s jumping. 00:27:07.809 --> 00:27:11.590 You only have finite measurements. It’s jumping from diode to diode. 00:27:11.590 --> 00:27:14.410 So you have these little tiny step functions. 00:27:14.410 --> 00:27:16.730 So we want to get rid of those if we want to – if we want to 00:27:16.730 --> 00:27:20.120 go after accelerations because those can be associated – 00:27:20.120 --> 00:27:22.580 if you double-differentiate that, that’s a problem, right? 00:27:22.580 --> 00:27:25.890 You’re going to have these huge fictitious accelerations. 00:27:25.890 --> 00:27:31.450 So we low-passed those signals. And then we treated those as 00:27:31.450 --> 00:27:34.730 full analytical signals, and we double-differentiated them. 00:27:34.730 --> 00:27:38.559 This shows that process. And it turns out, if you do that carefully, 00:27:38.559 --> 00:27:42.529 this is, from the finite element model, the acceleration response spectra 00:27:42.529 --> 00:27:44.529 in the structure. And this is the acceleration 00:27:44.529 --> 00:27:49.260 response spectra calculated from the – from the – directly from the diode data. 00:27:49.260 --> 00:27:52.970 So it turns out, if you’re careful about processing that diode data 00:27:52.970 --> 00:27:55.899 and the interstory drift data, you can double-differentiate that 00:27:55.900 --> 00:27:59.000 and get back to accelerations and getting the structure accelerations. 00:27:59.000 --> 00:28:01.680 So that’s a – that’s a bonus point. 00:28:01.690 --> 00:28:05.080 So this was – this was all, you know, sort of summarized 00:28:05.080 --> 00:28:09.400 in a Earthquake Spectra article that came out in November 2017, 00:28:09.400 --> 00:28:14.059 and that was sort of the logical end of that first traunch. 00:28:14.059 --> 00:28:17.799 After that, DOE Office of Nuclear Safety – we got them interested in this. 00:28:17.799 --> 00:28:22.510 And they supported a much larger, more realistic test of these sensors 00:28:22.510 --> 00:28:26.690 that I want to speak to to wrap up this thought process. 00:28:26.690 --> 00:28:30.380 And so we took a one-third-scale steel frame. 00:28:30.380 --> 00:28:33.160 It was already at the University of Nevada-Reno. 00:28:33.160 --> 00:28:36.840 And we placed it – we modified it a bit, and we placed it on their shake table. 00:28:36.840 --> 00:28:39.820 And here’s a – here’s a human to give you some idea of scale. 00:28:39.820 --> 00:28:43.320 And we kind of did a similar test. 00:28:43.320 --> 00:28:48.720 Off there, we have a diagnostics tower. We stretched tension cables from 00:28:48.720 --> 00:28:53.340 that tower with string potentiometers. Now shown, we also had cables through 00:28:53.340 --> 00:28:57.000 the diagonal so we could have a second measurement of interstory drift. 00:28:57.000 --> 00:29:00.630 The point is, we instrumented this large structure now in a way that 00:29:00.630 --> 00:29:06.169 we could get to interstory drift. Second thing we did is, up to this point, 00:29:06.169 --> 00:29:09.700 we sort of cobbled together the hardware for this system 00:29:09.700 --> 00:29:12.370 in our work at Chico. So we had a field-programmable 00:29:12.370 --> 00:29:16.929 gate array, the comparator bank, separate from the main sensor board, 00:29:16.929 --> 00:29:18.700 separate from the photodiode array. 00:29:18.700 --> 00:29:21.679 It made a lot of sense because we were mixing and matching and 00:29:21.679 --> 00:29:26.039 changing things out and trying to vet this technology and get it to work. 00:29:26.039 --> 00:29:29.140 But for the tests at Reno, we said, look, you know, that doesn’t 00:29:29.140 --> 00:29:31.760 look like a system [chuckles] you’d ever think about deploying. 00:29:31.760 --> 00:29:35.320 So we need to begin to think about, what would the form factor 00:29:35.320 --> 00:29:38.130 and the construction of a real, deployable sensor look like? 00:29:38.130 --> 00:29:42.559 So we moved all that stuff to a single board at Chico. 00:29:42.560 --> 00:29:47.180 And so now, the microcontroller, the field-programmable gate array, all of the 00:29:47.180 --> 00:29:52.040 diodes, the comparator bank, everything is on a single board that’s about 9 inches. 00:29:52.050 --> 00:29:55.730 And I brought one with me. And this is a really light, flimsy little thing. 00:29:55.730 --> 00:29:59.650 If you have interest, you can look at it. So we migrated this to something 00:29:59.650 --> 00:30:03.840 that might begin to look like something you would deploy. 00:30:03.840 --> 00:30:07.710 I would argue there’s a lot we could do here even beyond this. 00:30:07.710 --> 00:30:09.860 You don’t need a comparator bank anymore. 00:30:09.860 --> 00:30:13.370 You can do all these comparators on a chip that can handle multi-circuits. 00:30:13.370 --> 00:30:16.720 So all this real estate can go away, and this thing could get much, much 00:30:16.720 --> 00:30:20.539 narrower. And so you could really get down to a compact form function. 00:30:20.539 --> 00:30:22.600 Nevada test setup – this just shows you 00:30:22.600 --> 00:30:25.590 we were still measuring rotations at that time. 00:30:25.590 --> 00:30:28.980 So the laser is here, splits, there’s a sensor here, sensor here. 00:30:28.980 --> 00:30:32.570 We had the tension cables here and here to get ground truth. 00:30:32.570 --> 00:30:36.100 And we really shook this thing. When we did this experiment at Nevada, 00:30:36.100 --> 00:30:40.890 we were on a fairly tight schedule, so we set aside one day, and we took 00:30:40.890 --> 00:30:44.760 a large number of earthquakes, and we started them at low scale 00:30:44.760 --> 00:30:46.620 and scaled them up to a very high amplitude. 00:30:46.620 --> 00:30:50.140 And we ran all those tests back to back to back in about eight hours. 00:30:50.140 --> 00:30:52.409 They had their data acquisition system all set up, 00:30:52.409 --> 00:30:54.950 which, if you think about it, was kind of realistic because, 00:30:54.950 --> 00:30:58.549 in a real environment, you have an earthquake, and you have aftershocks. 00:30:58.549 --> 00:31:03.090 And one of the things we didn’t know going in is whether this was going to 00:31:03.090 --> 00:31:06.600 be adversely affected by really, really strong shaking. 00:31:06.600 --> 00:31:10.440 Was this thing going to have some weird dynamics or some failure mode 00:31:10.440 --> 00:31:14.440 that we didn’t anticipate or weren’t aware of? Turns out, it didn’t. 00:31:14.440 --> 00:31:17.800 We just slaughtered the test right straight through in one day on this. 00:31:17.800 --> 00:31:22.799 We used El Centro and Rinaldi motions. Rinaldi has some near-field pulses. 00:31:22.799 --> 00:31:25.960 And so these are actually what – we’re working on these right now 00:31:25.960 --> 00:31:30.200 in a second paper. These are the drift measurements. 00:31:30.200 --> 00:31:34.490 The ground truth versus the DDPS. You can see the interstory drift at 00:31:34.490 --> 00:31:38.110 each floor, much like in our previous test, looks good. 00:31:38.110 --> 00:31:42.269 Rinaldi looks good. We even took it up to 250% of 00:31:42.269 --> 00:31:47.320 El Centro shaking, which [chuckles] the frame was just rattling like crazy. 00:31:47.320 --> 00:31:50.700 Because we wanted to see if we encountered anything untoward 00:31:50.700 --> 00:31:53.580 in the sensor for that. Nothing. Just plowed right through it. 00:31:53.580 --> 00:31:55.480 This was actually easier. 00:31:55.480 --> 00:32:00.860 This one-third steel frame was built for a different purpose, so it was awfully stiff. 00:32:00.860 --> 00:32:06.990 And so the 250% El Centro actually was giving us more realistic motions. 00:32:06.990 --> 00:32:12.340 If you look at the error in this thing, again, this is the 250 motions – 00:32:12.340 --> 00:32:15.780 250% interstory drifts. This is the difference. 00:32:15.780 --> 00:32:18.539 And this is the, quote, error in the system. 00:32:18.539 --> 00:32:23.039 You can see the error here is on the order of 2, 3, or 4 millimeters. 00:32:23.039 --> 00:32:27.029 And it’s a little higher than what we observed in the small-scale test. 00:32:27.029 --> 00:32:30.510 And I believe that’s due to the inaccuracy in the measurement 00:32:30.510 --> 00:32:34.170 system for the ground truth here. These are very, very long cables, 00:32:34.170 --> 00:32:38.309 and they’re not as – quite as high-quality potentiometers. 00:32:38.309 --> 00:32:41.830 And so this is both sensor error as well as measurement system error 00:32:41.830 --> 00:32:45.929 of the ground truth. So still, if we can measure interstory 00:32:45.929 --> 00:32:50.370 drift within 4 millimeters, you know, we’ve got it. We’re doing good. 00:32:50.370 --> 00:32:53.760 So what we’re working on now, just to sort of move to a couple things 00:32:53.760 --> 00:32:57.220 to wrap up here, and then we can take some questions, is we want to 00:32:57.220 --> 00:32:59.880 get rid of that second line of sight. 00:32:59.880 --> 00:33:04.940 That’s a thorn in our side to correct for that rotation. 00:33:04.940 --> 00:33:07.920 It’s pretty easy to get a vertical line of sight in a building. 00:33:07.920 --> 00:33:10.710 It’s not so easy unless you’re in an industrial facility, to always get 00:33:10.710 --> 00:33:13.770 that second horizontal line of sight. So we wanted to get rid of that. 00:33:13.770 --> 00:33:16.710 So we’ve been going through – because we’ve built up confidence 00:33:16.710 --> 00:33:20.399 in our computational model to be predictive to these sensors, 00:33:20.399 --> 00:33:22.470 we’re looking at different mounting configurations. 00:33:22.470 --> 00:33:28.159 We’re looking at Alternative 1, 2, and 3. So we ran this numerical with no rotation 00:33:28.159 --> 00:33:33.240 correction to try and understand the sensitivity to the local rotations. 00:33:33.240 --> 00:33:37.400 And much as we observed in our experiments, alternative number 1, 00:33:37.400 --> 00:33:43.529 you can see that there is a big error between the actual and the, quote, 00:33:43.529 --> 00:33:48.049 simulated, or what we would say that the sensor would actually see. 00:33:48.049 --> 00:33:49.950 Because that’s the error we had to correct. 00:33:49.950 --> 00:33:54.460 But if you move across to alternative locations, you begin to see that 00:33:54.460 --> 00:33:58.519 error asymptotically goes away in certain locations. 00:33:58.519 --> 00:34:03.750 And the reason being is, if you go to the 1/4-point on that structural member, 00:34:03.750 --> 00:34:05.860 that thing really doesn’t have any rotation. 00:34:05.860 --> 00:34:10.660 It has simply a vertical up and down as that building wags back and forth. 00:34:10.660 --> 00:34:16.040 You know, points here and here have big rotations. 00:34:16.040 --> 00:34:20.280 Those rotations go to zero as you get to this idealized L-over-4 point. 00:34:20.280 --> 00:34:22.910 And so you have no rotation there, and you just sort of nail it. 00:34:22.910 --> 00:34:27.800 So that’s one thing we’re interested in. We’ve also looked at providing a 00:34:27.800 --> 00:34:33.060 pin-pin strut to mount these things on. And by that, I just mean a little 00:34:33.060 --> 00:34:38.230 mechanism that’s about yeah-big that’s just a metal bar that has 00:34:38.230 --> 00:34:41.240 pin-pin connections at the – at the joints of that. 00:34:41.240 --> 00:34:46.530 And that would isolate that mount of the laser from the local rotations. 00:34:46.530 --> 00:34:50.060 And so we’ve done numerical studies of that too, and that works wonderfully. 00:34:50.060 --> 00:34:53.710 And so the point is, we think we’ve got this issue of having to correct for 00:34:53.710 --> 00:34:57.390 these rotations – we have practical ways of getting around that, I believe. 00:34:57.390 --> 00:35:01.200 So – and that’s sort of what we’re working on and finishing up right now. 00:35:01.200 --> 00:35:04.710 So let me sort of get sort of to the punch – a couple punchlines here 00:35:04.710 --> 00:35:08.790 to leave you a thought with. So here’s how we view the end state. 00:35:08.790 --> 00:35:11.730 You have critical facilities – and we’re focused on DOE facilities – 00:35:11.730 --> 00:35:14.900 a lot of nuclear facilities. You would like to develop 00:35:14.900 --> 00:35:18.870 understanding through your analysis and your engineering design of 00:35:18.870 --> 00:35:22.220 how that particular structure behaves and what the limit states are 00:35:22.220 --> 00:35:24.610 for that structure in terms of drift. 00:35:24.610 --> 00:35:28.560 So you have those in hand and in your pocket a priori. 00:35:28.560 --> 00:35:31.230 You have an earthquake. You measure – in real time, 00:35:31.230 --> 00:35:34.540 you measure those drifts with a sensor like we’ve showed you. 00:35:34.540 --> 00:35:38.170 So you have both a transient time history, the peak dynamic drift, 00:35:38.170 --> 00:35:41.130 as well as the residual drift. And you compare that – 00:35:41.130 --> 00:35:44.940 immediately can compare that, in a stoplight chart sense, 00:35:44.940 --> 00:35:48.510 to all of your codes and standards that have established these drift limits. 00:35:48.510 --> 00:35:50.890 And that would really be the way we would envision 00:35:50.890 --> 00:35:53.720 utilizing this technology ultimately. So if you have an earthquake, 00:35:53.720 --> 00:35:57.110 either go out to the building and look at a stoplight chart, 00:35:57.110 --> 00:36:00.840 or have your smartphone that this data is piped to so you would 00:36:00.840 --> 00:36:03.650 immediately know if that building exceeded the limit states. 00:36:03.650 --> 00:36:07.020 And that’s sort of the thing we’re really – we’re really working towards. 00:36:07.020 --> 00:36:10.950 Couple of corollary things here. And this has to do with 00:36:10.950 --> 00:36:15.710 both accelerometers as well as our sensors. 00:36:15.710 --> 00:36:21.600 We’ve done a lot of numerical look at what drifts – the drift profiles 00:36:21.600 --> 00:36:26.500 look like in critical structures for realistic earthquake ground motions. 00:36:26.500 --> 00:36:29.550 And it turns out, in our view, they’re extremely complex. 00:36:29.550 --> 00:36:33.700 It’s a little hard to see, but we had a very, very detailed model 00:36:33.700 --> 00:36:38.120 of a tall steel frame structure that Professor Astaneh designed – 00:36:38.120 --> 00:36:43.340 he came up with. And we put a whole large suite of near-field records in that. 00:36:43.340 --> 00:36:48.900 And what is shown in the black bars are the peak interstory drifts at every story 00:36:48.900 --> 00:36:52.100 for the entire duration of that earthquake versus what you would 00:36:52.100 --> 00:36:56.100 see in a linear model – a simple linear-elastic model. 00:36:56.100 --> 00:37:00.550 And this is a comparison of the two. And what you see is that the 00:37:00.550 --> 00:37:06.820 large inelastic drifts can tend to be very localized, and they can tend to 00:37:06.820 --> 00:37:12.320 be much larger than – and much more distributed and complex than the profile 00:37:12.320 --> 00:37:16.010 you get from a simple linear model. So this has important implications 00:37:16.010 --> 00:37:21.180 for how you instrument these buildings. Because it’s giving you a hint that 00:37:21.180 --> 00:37:26.100 sparse instrumentation is probably not very good. 00:37:26.100 --> 00:37:29.320 You probably are going to have fairly dense instrumentation arrays 00:37:29.320 --> 00:37:33.140 on these types of building structures. And so this is something else that 00:37:33.140 --> 00:37:36.270 we’re thinking about in terms of moving forward with deployment. 00:37:36.270 --> 00:37:41.000 So finally, we are – there are two things we want to do next. 00:37:41.000 --> 00:37:47.400 We want to reconfigure this sensor and its platform onto a smaller form factor. 00:37:47.400 --> 00:37:49.340 And we’re looking for deployment opportunities 00:37:49.340 --> 00:37:52.610 to actually put this on real structures. And so we are working with 00:37:52.610 --> 00:37:57.600 UCSF and the Parnassus campus. They have a couple of tall buildings 00:37:57.600 --> 00:38:01.340 that they’re retrofitting, and we would hope to start to begin to deploy these 00:38:01.340 --> 00:38:05.720 types of sensors for the first time as part of their retrofit of their 00:38:05.720 --> 00:38:08.450 critical structures and be able to demonstrate the practicality 00:38:08.450 --> 00:38:13.350 over long-term with monitoring with this type of sensor. 00:38:13.350 --> 00:38:16.670 So I will stop there, and maybe we have 00:38:16.670 --> 00:38:18.860 a few minutes for questions. I don’t know. 00:38:19.280 --> 00:38:25.160 [Applause] 00:38:28.660 --> 00:38:31.560 - [inaudible] with the first question? 00:38:34.100 --> 00:38:41.060 [Silence] 00:38:41.580 --> 00:38:45.320 - Thanks for a super-interesting talk. Have you thought about 00:38:45.330 --> 00:38:49.510 MEMS gyroscopes for measuring the local rotations? 00:38:49.510 --> 00:38:52.880 - You know, we did think about that. 00:38:53.640 --> 00:38:58.280 We’ve looked at a number of ways of trying to think about the local rotation. 00:38:58.280 --> 00:39:04.020 And what we kept running into is the long-term reliability in drift of some of 00:39:04.020 --> 00:39:08.760 these things and their ability to continue to measure those rotations accurately. 00:39:08.760 --> 00:39:14.320 So we have gone down a path currently – and not saying we’ll 00:39:14.320 --> 00:39:17.850 always stay there – look, we’d love to have a point rotation 00:39:17.850 --> 00:39:20.060 measurement system. No question. 00:39:20.060 --> 00:39:24.740 I mean, that would – I mean, that would make this just lickety-split, right? 00:39:24.740 --> 00:39:29.200 From a practical standpoint, we have not run across – although you can do it 00:39:29.200 --> 00:39:33.540 conceptually – a good robust solution for measuring those local rotations. 00:39:33.540 --> 00:39:35.821 If you have better ideas, we’d love to hear about them, 00:39:35.821 --> 00:39:38.210 but we pulled on a number of threads. 00:39:38.210 --> 00:39:41.920 And it turns out that, with a lot of those gyros, they drift, and people 00:39:41.920 --> 00:39:45.619 have to apply a Kalman filter, and nah, nah, nah, nah, nah. 00:39:45.619 --> 00:39:48.050 And so we have gone the path of trying to figure out 00:39:48.050 --> 00:39:51.700 a way to not have to make those rotations. 00:39:51.700 --> 00:39:55.480 We looked at a number of MEMS inclinometers. 00:39:55.480 --> 00:39:58.780 They’re all essentially gravity-based. 00:39:58.790 --> 00:40:01.970 And so you impart the additional accelerations from an earthquake, 00:40:01.970 --> 00:40:04.580 and they just – you know, you try to think about 00:40:04.580 --> 00:40:06.830 how you could filter, blah, blah, blah. 00:40:06.830 --> 00:40:10.650 We just couldn’t get to a good solution. It was a dead end for us. 00:40:10.650 --> 00:40:14.590 But it’s a great idea, and if the technology comes along the pike that 00:40:14.590 --> 00:40:19.650 solves that, we’d love to have a point rotation sensor measurement. [laughs] 00:40:19.650 --> 00:40:21.260 Good question. 00:40:24.900 --> 00:40:28.340 - [inaudible] - No, no, you can go. 00:40:28.340 --> 00:40:32.670 - David, what are the prospects of using this for tall buildings? 00:40:32.670 --> 00:40:35.640 - I think – I think it’s great for tall buildings. 00:40:35.640 --> 00:40:40.760 - But I don’t mean interstory drift. I mean, an average for the whole height. 00:40:41.480 --> 00:40:44.360 - An average – an average drift? 00:40:45.620 --> 00:40:49.720 I think – you may have stepped out. I showed some drift profiles. 00:40:49.720 --> 00:40:52.640 I think – I think you want this on every story. 00:40:52.650 --> 00:40:55.700 You want a cost function that allows you to put this everywhere. 00:40:55.700 --> 00:40:57.810 Because when you begin to think of inelastic deformation 00:40:57.810 --> 00:41:03.070 under a large event, you get very, very localized large drifts. 00:41:03.070 --> 00:41:06.530 And so I worry about drift averaging. And you can see – Mehmet, 00:41:06.530 --> 00:41:11.100 we can talk about this this afternoon. This is a 40-story steel building 00:41:11.100 --> 00:41:16.340 subjected to near-field motions. If you look in the linear-elastic analysis, 00:41:16.340 --> 00:41:20.230 you tend to get nice, smooth drift profiles to some degree. 00:41:20.230 --> 00:41:22.690 When you begin to look, particularly at near-field records with 00:41:22.690 --> 00:41:29.610 very, very large motions, you really tend to drive very localized high drifts. 00:41:29.610 --> 00:41:34.490 And if you don’t have a dense enough array to capture some of those, 00:41:34.490 --> 00:41:39.100 you know, it’s really, really tough. So, in my mind, we’d like to drive 00:41:39.100 --> 00:41:42.440 the cost function to a point where you could afford to put these in a dense 00:41:42.440 --> 00:41:46.060 array throughout the structure. That’s my thinking. 00:41:46.060 --> 00:41:53.200 - [inaudible] I think the main – I think the 00:41:53.200 --> 00:41:59.400 main problem in installing these is the construction companies. 00:41:59.400 --> 00:42:05.800 - Mm-hmm. - Because they almost never allow 00:42:05.800 --> 00:42:09.520 people like you or me [feedback noise] to go in there and try to install 00:42:09.520 --> 00:42:12.520 such things in a bay of a … - Yes. 00:42:12.520 --> 00:42:15.740 - Forty-third floor [inaudible], 57th floor. - Yes. 00:42:15.740 --> 00:42:19.120 - They will think that you are in [inaudible]. 00:42:19.120 --> 00:42:21.320 - Yeah. - So that is realistic? 00:42:21.320 --> 00:42:23.400 - I think it is. And we’re having that 00:42:23.400 --> 00:42:26.850 kind of discussion around this building right now. 00:42:26.850 --> 00:42:31.830 And so we’re trying to think about how to make the installation as least-obtrusive 00:42:31.830 --> 00:42:35.950 as we can. And so I think we’re having those kind of discussions. 00:42:35.950 --> 00:42:39.580 We’ll see how that plays out. But I do think we have a shot 00:42:39.580 --> 00:42:43.620 at being able to mount these things in certain locations. 00:42:43.620 --> 00:42:46.900 So I think – my answer is, I think we can do it. 00:42:50.740 --> 00:42:56.380 - I have a couple of questions. The first is, based on all the test results, 00:42:56.390 --> 00:43:01.400 and so it looks like you only look unidirectional, right? All the testing? 00:43:01.400 --> 00:43:05.690 So your slip is longer in the one way, but it’s shorter in the other way. 00:43:05.690 --> 00:43:09.600 But the structure is – you know, during earthquakes, they’re going both ways. 00:43:09.600 --> 00:43:13.920 You think you can – your laser is going to be out of the receptors? 00:43:13.920 --> 00:43:21.020 - No. So the tests at Reno were biaxial. The only problem with those tests is 00:43:21.030 --> 00:43:26.350 they really didn’t exercise the biaxial nature because the frame was stronger 00:43:26.350 --> 00:43:31.140 in one direction than the other direction. But we have made this beam large 00:43:31.140 --> 00:43:36.480 enough to accommodate the out-of-plane deformations you get in the 00:43:36.480 --> 00:43:39.050 orthogonal direction. That’s the idea. 00:43:39.050 --> 00:43:41.940 And I’m confident, based on our analysis and our – 00:43:41.940 --> 00:43:48.120 what we observed at Reno that these – you can split and defrac that beam – 00:43:48.120 --> 00:43:52.500 let me go back – like we see here. This is – it’s actually bigger than that 00:43:52.510 --> 00:43:56.620 so that when you get that out-of-plane deformation, this will translate 00:43:56.620 --> 00:43:59.210 this way some, but it’s not going to go off the [inaudible]. 00:43:59.210 --> 00:44:02.160 That’s the intent. That’s the design intent. 00:44:02.160 --> 00:44:05.210 And so the design intent would be to have one of these 00:44:05.210 --> 00:44:08.000 in orthogonal directions on the building structure. 00:44:08.000 --> 00:44:11.800 And you’re measuring the in-plane motion in one direction. 00:44:11.800 --> 00:44:16.040 - Well, my next question is, how are you seeing the production? 00:44:16.640 --> 00:44:21.560 I’m assuming that you cannot use that in – when it’s visible, so it should be, 00:44:21.560 --> 00:44:23.380 you know, within the partitions? - Yeah. 00:44:23.380 --> 00:44:24.830 - Of the building? - Yeah. 00:44:24.830 --> 00:44:28.140 - So I’m assuming you shouldn’t have any braces like that on the – 00:44:28.140 --> 00:44:30.980 on the corner. So you should have straight sides. 00:44:30.980 --> 00:44:34.590 - Yes. You … - How about the long-term dust? 00:44:34.590 --> 00:44:36.430 The buildings … - That’s a good question. 00:44:36.430 --> 00:44:39.770 We don’t know about that yet. And so that’s why we want to 00:44:39.770 --> 00:44:42.580 do some long-term deployment. We don’t know whether you’re going to 00:44:42.580 --> 00:44:47.760 have to clean these things off once a month or once a year or whatever. 00:44:47.760 --> 00:44:50.170 I mean, those are the kind of reliability things we’re going to have to look at. 00:44:50.170 --> 00:44:54.520 I will say – you know, this thing will not go into the field looking like this. 00:44:54.520 --> 00:44:58.120 There will be some sort of a window over this. 00:44:58.120 --> 00:45:02.580 And, for my laser jock friends at Livermore, you can put a coating 00:45:02.580 --> 00:45:07.250 on that that is very selective in terms of the wavelength of light 00:45:07.250 --> 00:45:09.970 that it will let through. So there are things you can do 00:45:09.970 --> 00:45:14.410 to make that cover work very, very well for the laser 00:45:14.410 --> 00:45:16.850 and not other kinds of light, for example, right? 00:45:16.850 --> 00:45:20.050 Those are the kind of things we’ve still got to monkey with a bit. Absolutely. 00:45:20.050 --> 00:45:23.810 It’s a good question. Which we’ve thought a little bit about, 00:45:23.810 --> 00:45:27.220 and we just don’t know until we have some long-term deployments. 00:45:32.580 --> 00:45:37.700 - Yeah. I have a question about – you showed some examples 00:45:37.700 --> 00:45:45.240 comparing the finite element model acceleration with the data. 00:45:45.240 --> 00:45:48.180 - Yep. - But have you done any – 00:45:48.180 --> 00:45:52.450 did any of the tests that you do also have a conventional, you know, 00:45:52.450 --> 00:45:55.460 force-balance accelerometer? - This one did. 00:45:55.460 --> 00:45:58.190 And so we are going to compare the accelerations on this. 00:45:58.190 --> 00:46:00.960 We’re doing that – about to do that now. - Okay. 00:46:00.960 --> 00:46:04.480 - So we are going – at each floor level, we had accelerometers on this. 00:46:04.480 --> 00:46:06.000 - Gotcha. - So we are going to 00:46:06.010 --> 00:46:09.880 go through the same exercise. That’s sort of our last task 00:46:09.880 --> 00:46:13.670 in this new paper is to go back and repeat 00:46:13.670 --> 00:46:16.860 that acceleration where we have acceleration data. 00:46:16.860 --> 00:46:21.050 - And then, one other question. - You know, just – I’m sorry to – 00:46:21.050 --> 00:46:24.680 when we did the first experiment, thinking of using these to 00:46:24.680 --> 00:46:27.460 get acceleration was not in our consciousness, right? 00:46:27.460 --> 00:46:30.860 So we didn’t put the accelerometers on. And, you know, afterwards, we’re, like, 00:46:30.860 --> 00:46:34.380 you know, god, we could probably use this more clever to get accelerations. 00:46:34.380 --> 00:46:37.470 And so the only avenue we had at that point was to – was to really 00:46:37.470 --> 00:46:39.570 look at the accelerations from the finite element model, 00:46:39.570 --> 00:46:42.550 which is why we did that. - Yeah. 00:46:42.550 --> 00:46:45.330 What about six degree of freedom, so adding the vertical in, 00:46:45.330 --> 00:46:50.020 and how do you think that will affect things like your Alternative 2 00:46:50.020 --> 00:46:54.180 and it being a quarter of the way down, or just in general, 00:46:54.180 --> 00:46:57.400 how it will affect the … - Adding the vertical acceleration? 00:46:57.400 --> 00:47:00.690 - Yeah. And rocking and … - So the only thing I would say 00:47:00.690 --> 00:47:03.890 that worries me about the vertical acceleration is 00:47:03.890 --> 00:47:08.840 we’re thinking of using a pin-pin strut to mount the laser on. 00:47:08.840 --> 00:47:11.250 And the reason we’re doing that is you have the local deformation 00:47:11.250 --> 00:47:16.780 of the structure. We’d like to have a fairly long, you know, simple pin-pin 00:47:16.780 --> 00:47:20.420 strut that holds the laser. You don’t want that strut 00:47:20.420 --> 00:47:23.740 to vibrate under vertical or other accelerations, right? 00:47:23.740 --> 00:47:27.440 So you have to put very careful design considerations into that. 00:47:27.440 --> 00:47:30.530 So you’d want to push that frequency up to – out of the 00:47:30.530 --> 00:47:32.620 frequency range of response in the system. 00:47:32.620 --> 00:47:37.360 And that consideration, I think, is important for that very issue. 00:47:37.360 --> 00:47:40.320 But other than that, as long as you’re careful 00:47:40.320 --> 00:47:43.440 how you design that, I think you’re going to be okay. 00:47:46.000 --> 00:47:48.260 - What do you mean by a pin-pin strut? 00:47:48.260 --> 00:47:54.300 - So I mean a strut that has a – pin-pin is an engineering term. 00:47:54.300 --> 00:47:57.130 You would – you would have a strut – just think of it as a bar – 00:47:57.130 --> 00:48:01.070 where you have a connection at the end, and it’s like two ball joints. 00:48:01.070 --> 00:48:06.600 So that when the structure deforms and rotates, that bar doesn’t rotate. 00:48:06.600 --> 00:48:09.360 It translates. It just moves like this with 00:48:09.360 --> 00:48:12.500 the laser on it, but it does not have a moment in it 00:48:12.500 --> 00:48:16.040 or a – a moment, so it doesn’t deform. 00:48:16.040 --> 00:48:20.310 So I didn’t bring those results, but we’ve done numerical studies of that as well. 00:48:20.310 --> 00:48:23.080 And that looks like a perfectly good concept. 00:48:23.080 --> 00:48:26.570 The thing that’s nice about that concept is it can be migrated to 00:48:26.570 --> 00:48:29.790 other types of structures, like a shear wall structure 00:48:29.790 --> 00:48:32.400 and combination moment frame and shear wall structures. 00:48:32.400 --> 00:48:35.520 So we’re big on that concept, and we’re just sort of finishing up 00:48:35.520 --> 00:48:38.170 the sensitivity to that right now as part of this. 00:48:38.170 --> 00:48:43.020 Does that answer your question? It’s simply – just think of it as a bar 00:48:43.020 --> 00:48:47.210 with two ball joints at the end so that you can’t rotate from 00:48:47.210 --> 00:48:52.040 the structure any moment or rotation or bending into that strut. 00:48:52.040 --> 00:48:56.200 - Thanks. - It’s really simple. It’s a simple concept. 00:48:58.020 --> 00:49:03.860 - I was concerned with how quickly you glossed over the possibility that, 00:49:03.860 --> 00:49:09.220 at the half – halfway along a beam, something is zero, and at a quarter way 00:49:09.220 --> 00:49:12.600 along the curvature or the bending, moment is zero. 00:49:12.600 --> 00:49:17.180 This is going to depend – I mean, these precise locations of these are 00:49:17.190 --> 00:49:22.200 going to depend on the loading on the beams and also whether or not 00:49:22.200 --> 00:49:29.560 the column itself in the – in the story height you’re considering are doing the – 00:49:29.560 --> 00:49:32.020 these columns doing the same double curvature. 00:49:32.020 --> 00:49:33.800 - Yes. 00:49:33.800 --> 00:49:37.450 - I don’t think it’s very important for your whole story, but … 00:49:37.450 --> 00:49:39.940 - Yeah. So … - What do you think? 00:49:39.940 --> 00:49:43.820 - So I think this is certainly an idealization. 00:49:43.820 --> 00:49:47.940 The question would be, and this ought to be validated with experiment, you know, 00:49:47.940 --> 00:49:52.260 if you think about – the issue I would be worried about is 00:49:52.260 --> 00:49:59.610 changes in load on that structure. But during dynamic motion, you know, 00:49:59.610 --> 00:50:02.460 these lasers would be mounted, after all the dead load and everything 00:50:02.460 --> 00:50:07.240 is deformed, that does want to have the deformation pattern that 00:50:07.240 --> 00:50:10.930 we’re observing – that beam. The question is, if there’s any 00:50:10.930 --> 00:50:13.900 variability along the length, how precise is that going to be? 00:50:13.900 --> 00:50:15.920 And is it going to be exactly at the quarter point, 00:50:15.920 --> 00:50:20.090 or is it going to be 10% over from the quarter point? 00:50:20.090 --> 00:50:23.880 So that’s why the strut is a – is a very robust, we think, 00:50:23.880 --> 00:50:27.070 appealing way to mount the laser. Because you would get around 00:50:27.070 --> 00:50:30.240 those types of considerations that you’re describing. 00:50:30.240 --> 00:50:31.630 But we don’t know yet. We’re going to – 00:50:31.630 --> 00:50:35.100 we’ve seen this numerically, and we need to do some experimentation 00:50:35.100 --> 00:50:39.730 that really tests this concept out. But you raise a good question. 00:50:39.730 --> 00:50:45.070 I mean, the point is, if you’re exactly at Alt 2, you know, is the – 00:50:45.070 --> 00:50:47.561 is the displacement going to be precisely vertical there? 00:50:47.561 --> 00:50:50.300 Or is there going to be a little, tiny bit of rotation? 00:50:50.300 --> 00:50:52.940 And there could be. There very well could be. 00:50:52.940 --> 00:50:56.580 It’s going to be a hell of a lot better than putting it at Alt 1 and Alt 3. [laughs] 00:50:56.590 --> 00:50:58.930 But whether it’s going to be as good as our numerical simulation 00:50:58.930 --> 00:51:01.640 tells us or not, not sure. 00:51:06.700 --> 00:51:12.540 - Anyone else before we take off? No? Well, thank you again, David. 00:51:12.540 --> 00:51:14.850 - Thank you for your time. - If you’d like to meet with him 00:51:14.850 --> 00:51:17.380 before he takes off for the day, please get a hold of me. 00:51:17.380 --> 00:51:19.440 And I think there’s some time in the afternoon. 00:51:19.440 --> 00:51:22.220 But otherwise, thanks for coming, and thanks for the great talk. 00:51:22.220 --> 00:51:24.040 - Oh, thank you for having me. I appreciate it. 00:51:24.040 --> 00:51:28.420 [Applause] 00:51:31.660 --> 00:51:34.760 - Take that mic whenever you’re ready. - Oh, yes, I don’t …