Right. I get this. Listen. Were fired. And. Why. Then thanks very much and thanks to everyone for making that such a great day. I really had a fabulous time. Georgia Tech very inspiring. There's a lot of great faculty and students here and I'm OK I've got lots of new ideas to. To take back to the to the lab. Now as Dan alluded to I was trained as an evolutionary biologist I didn't know any years ago a robot from anything. But over the years as I have as I've worked more in the form and function evolution of fishes. I thought in order to try to understand and answer some of the questions I want to answer. I need to take a robotic approach. So I'll start the talk today with a little bit of a background on fishes and fish evolution fish diversity but not too much. I'll tell you a little bit about some of the questions we're interested in answering and then some of the different robotic systems that were developed ourselves or in conjunction with collaborators who are using to answer those questions and because I know many of you don't work on the aquatic realm with fish. I'm going to keep this fairly general and just I'll show so relatively more movies relatively more pictures relatively less data but certainly you're welcome to a look at the web page. We have all of our publications up and you can probe me via e-mail. If you would like to ask more questions about any of the specific areas. What so to begin with. I'll just say that someone is instead invertebrate biology. This is a are great. Model system there represent half of the diversity of fishes there are somewhere on the order of sixty thousand vertebrates that is birds mammals and Fabians reptiles fish fish now is slightly over thirty thousand the total number of species so the the diversification that's taken place over more than half a billion years in the aquatic realm is quite impressive fish of really radiated into the three dimensional habitat represented by the water in almost every imaginable way and they've had many years to have selection operate on their propulsive systems to involve multiple propulsive multiple surfaces that push on the water devolve flexible proposers to evolve highly maneuverable body plans that enable them to maneuver in and out of Coral Reef heads obstacles in the water to deal with turbulent flows and so forth and there's so an obvious really a source of its inspiration for understanding the aquatic around how we might build human devices that could move around the water and locomotive. In a way that might eventually approximate what what fish can do. But I think we're still really at the very beginning of this process so I emphasize especially since it Georgia Tech and there's so many people going to rest year old robots and some flight work that we're way behind I think on in the aquatic arena. What's been accomplished on land on sand. And for terrestrial locomotion in general but we're making progress but if we have it. We have a long way to go. What I'd like to do today is to begin with a few minutes about fish some of the major evolutionary trends some of the major design features that fish exhibit as part of their locomotor a function. And then do a sort of a survey if you like of different fish robotic platforms that we've worked on in my lab. I'll talk about some of the different approaches. We've taken present briefly some of the more complex biomimetic robotic devices spend the bulk of the girl. A significant portion of time on these very flexible simple bending models for a swimming fish. And then wrap up with some of our most recent work using these robotic devices to investigate some interesting features of the structure and function of fish which in this case would be the structure of sharkskin So some of you may know sharkskin has a very particular structure it served as inspiration for a number of different engineering materials and surfaces and I'll tell you a little bit about about how we've studied that. And I can't continue without really giving tremendous praised all my collaborators at various universities. James Tate Gora directs all sort of chief among them but Silas all been here at Georgia Tech's been an important computational collaborator. Eric Anderson Brock Malcolm at Northwestern University harness and we're been for Mendus in addition to a large number of students so being trained as a as an evolutionary biologist I never could have done this work without some great collaborators. Now one of the key obvious features of the Georgia Aquarium right nearby many of you I'm sure have been there of the diversity if this is the diversity of body shapes tale shapes the shapes that we see fish that have a long date fins here that they used to swim to maneuver fish with a variety of different fins arrayed around the body fish with symmetrical tail space with asymmetrical tails we've worked quite a bit on that although I won't talk about that today to know trout and salmon and so forth but to understand the diversity of this. I think we can compare a tuna to a shark. But there's only so much. I think we could learn we can learn a lot of biology but if we want to isolate an individual trait and say well what's the this tail shape mean in terms of local motor performance. It's very hard to approach that from a comparative point of view alone. I think we need some way to control this diversity and manipulate it in the lab and a robotic approach really allow. Us to do that. So we've tried to study it comparatively in fact these are all species that we've worked on or tuna relatives anyway but also with robotic models and one one form or another. Now that trends in the evolution of fishes have been well documented for many years and not just review some of them. For you in this very simplified evolutionary diagram of fishes so there are thirty thousand species of fish that are represented on this diagram. It's obviously a little bit simplified the RAIF in fishes is the group that. I'm going to show you here. So we're excluding the sharks and rays which would come off at the base but when we look at the evolution of pectoral fans and pelvic fins which I'm showing here in purple and yellow we can see these early evolutionary groups like sturgeon have a very low on the body wing like a pectoral fan as you kind of move up the phylogeny you wind up with spectral fins located right under the center of mass which is about right here up on the side of the body and they're much more flexible and new verbal in three dimensions that is this fish here can move this Petrel thinned quite a bit and in three dimensions sturgeon is much more limited in what it can do we see many trends in pelvic thin so here the pelvic bones are in yellow they tend to move forward again winding up under the center of mass or nearly under the center of mass and more derived evolutionary groups. And we see trends in the dorsal and anal fins shown here in red and blue. There are a number of patterns these fins can be right on top of one another they can be offset by this. There's a major group of fishes called the spiny fin fish is where the spines. The dorsal fin here in front is a spiny in nature and sometimes they're set separated with a soft region flexible and a spiny part and sometimes it's attached like we see here and here we see another case where the two dorsal and the fans are right right. Vertically arranged with one another. And finally we have trends in the evolution of the tail. Where we have. Early in evolution this asymmetrical shark like tail with an upper lobe that's bigger and extends further out than the lower lobe at the origin of the true bony fishes you tend to have a symmetrical tail and have many shapes. But the upper lobe is very similar to the lower lobe in area motions of those lobes could be different but they're nonetheless externally symmetrical we can have four tails and tails where there's a relatively straight trailing edge. So all of these patterns are. Interesting. They've been noted by paleontologists for years but we have almost no idea what they mean. So what does it mean to have fins in different positions what does it mean to have a tail like this versus a tail like that if we want to have a stiffer fish versus a more flexible fish What does that mean terms of locomotor function if we have a fish it's longer versus the fish the shorter That's a very simple morphological change what does that mean what about the hydrogen and function of these different types of fins where we really have very little idea about that. And so over the past years in my lab. Last ten years or so we've been working on fish to try and understand what it means to have a tail like that image the flow image of the motion and now what I'll be telling you about today is to build some robotic models to assess different aspects of fish bin function. Now just a quick overview. Of fins here in fishes so here is my favorite model system actually the bluegill sunfish there are a whole series of fins there's the dorsal fin This is the spiny part this is flexible. There's the tail. There's the anal fin of these are mid-line fins. And then there are the paired fins so they're at the pectoral fins here one on this side one on the other and the pair pelvic fins down here. And these are all under active control by the fish they're then in muscles that control these these fans may have an interesting design that we'll talk about in a second in terms of the whole fish one of the interesting things about fish is that most of them are unstable. That is their center of buoyancy is below the center of mass. So if you anesthetize this fish it would turn upside down and SAP is slightly negatively buoyant so it would sink to the bottom. So as a control problem you can see right away that we've ignored in the fish commotion community for the most part this fish needs to actively move its fins to remain stable fish can certainly rotate along their long absence Here's a perch turning surface zero radius turn if you'd like to using its pectoral fins and a little bit of the tail back here. But this need for control of body posture is certainly been a driving force in fish evolution is something I won't really discuss today but it's a very interesting area for future work and the last thing I'll say about the functional design officious is how the fins themselves are constructed so some of you have seen this side before I'll show it again for those of you haven't and present a very simple model of the fin. Here's the fin of the fish. The fin is composed of these individual rays that stick out from the base of the fin that are actually made of jointed small bones and there's a thin membrane. In between those bones we've worked on the mechanical properties of this a little bit to try and better understand what the what the how the system works. Mechanically. But one feature the most general interesting feature I think for today is that each one of these rays here that supports the fit is composed of two parts to there are two half rays and their muscles at the base of this to control them in fact in each fin Ray here there are four muscles so if you have a fin Ray that's got a fin it's got fourteen rays you have on the order of sixty muscles that control that and we've done some muscle recordings of these to show how the fin is working but we're nowhere near getting sixty simultaneous recordings from the muscles so it's a very complex control problem here too. The interesting thing from the mechanical point of view is if you asymmetrically displace the bases of these fin rays what you see is that the thinner. Curves and so in contrast to insect flight or bird feathers for example fish have the ability to actively control the curvature of their appendage by muscles at the base and my simple model for that some of you have seen is a Ziploc bag. So I've cut open the top of the Ziploc bag. I've opened up the base. And if you zip it together and make your fingers do the work of the muscles at the base. You can see the curvature of that the fish can apply and from a hundred and human point of view it's very interesting because oncoming flows normally would bend the fin back against the flow but fish can resist this and then their appendage into the flow actively resisting the defamation caused by the fluid. It makes determining what's active and passive defamation assuming this very difficult but it's a very interesting mechanical system I'm not aware of many examples like that in the animal kingdom. I won't actually say much more about it because we've built some early robots with this device and it doubles the number of actuators and so we've temporarily abandoned that approach. Now let's turn to the diversity of robotic platforms that we have this diversity of fishes at different shapes different things. Structures we don't really have that much of a sense of what it means how might we attack that from a robotic point of view. So what we've tried to do over the last five or six years so now is to try to apply a diversity of approaches something very simple to something much more complex and biomimetic that we're approaching now show you some examples. Not this one in particular but another one in a moment the biomimetic designs have some nice features they accurately mimic the biology. You can program natural fin motions It looks sort of like a fish. You can make alterations in the structure of these fin rays you can measure the forces but the downside is it takes a long time to build one of these that works well and we're still working on this particular one right here. Also some slides in a moment. So they're hard to build and control. In the middle. We. Individual fin elements that I will show you some information from that are meant to serve as a stepping stone to this robot here so we'll talk about pectoral fins and tail fin robots and then on the other extreme. We have some very simple physical models of swimming fish that I didn't think at first were going to be all that informative but it turned out to be extremely interesting and these are just simple flexing bending pieces of plastic that will discuss later on. That's going to these are going to be my fish. I fish models. The advantage of those is of course they're very simple to change we can alter the material properties very easily by changing out this bending surface as it swims we can change the shape of the tail by using a pair of scissors which is hard to do on a real fish but of course they're not very biologically realistic. So I think somewhere by taking a range of approaches. Hopefully we'll learn enough that by the time I retire. We'll made some progress in trying to understand a fish fish function from a robotic point of view. So let's begin with some whole fish robotics very simple. I'll just show some movies and show you a little bit of data we have a couple papers on this that you're welcome to look at and then we'll transition to the simpler robotic models in a little bit. So this is collaborative research with Malcolm A Kyra's group at Northwestern University on the ghost nice fish which is an amazing animal found in the Amazon it has an interesting electrical properties like a sense and capabilities. Let's see if we can get the movie to play here should go full screen. So look at the maneuvering capability of this fish with this fan. You can see it can go backward it can go forward the movie should loop around so you can see it from the beginning again and basically does all of its locomotion you little Petrel fin motions but with this undulating ribbon like fin. And there are quite a few actuators here on the fish there almost a hundred thirty individual fin rays each FINRA has four muscles. So we have a problem that's complicated to understand. It's pretty easy to see from all the work that's been done and just from intuition that when the fish goes forward there's a traveling wave that goes down the fin that goes backward. It's pretty easy to understand the fish wants to go backward. There's a traveling wave that goes forward. But we noticed an interesting thing about this fish and you'll see it when the movie loops around when it comes up in here. You'll notice the body goes up right there but it goes up when it does that the fin moves in a colliding wave pattern. And we wanted to understand how that was working a mechanic Lee and so Malcolm the Khyber is a group of Northwestern built the knife is robot which is actually quite engineering tour de force. There's actually a picture of it in my lab and the flow tank. There we simplified to thirty two actuators stacked end to end we have various force measuring capability of their light emitting diodes that give us error codes of which there were quite a few but we were able to make this ribbon thin move quite well and measure the flows that come off of it. So here's an example looking from below in the float tank in my lab here is another view from the side. We haven't tilted up because the fish sometimes swim tilted so we were able to alter the angle of the of the fish. And we can program in the way of form the amplitude. Most parameters we want including a colliding wave. So let's look at what the colliding wave does. So here is the robot we're doing a Ph D. analysis so we're imaging with laser light and look at the particle flows and the ribbon thing is right here it is generating a clotting wave coming in. Towards the center. And you'll see there's a cone shape downward jet that's been formed right here moving down till it hits the bottom of the flow tank and this is producing the force that moves the NY fish up. So when it heaves up makes a colliding wave with its fan. That's a result of the momentum of the water that is pushed down with that colliding when we've looked at quite a few details of this this just shows the streamlines here on the right. Illustrating that pattern. So we've used this robot and. A whole series of investigations of it to begin to understand what a way forms on this fin mean when we noticed interesting behavior from the fish. We're able to show that this colliding wave produces an interesting one hundred dynamic pattern that hadn't been the noticed before. Now we're also continuing to work on whole fish robots in Jamestown Gora's group at Drexel has been working with us doing the primary design work to build a whole sunfish that looks like this with a rigid body but with various sensor ports on the side. Each thing here is actuated so that we can move it in a biomimetic fashion. Here are some views of the modular component of this here it is in the water before it started to leak. So we have a few issues working with aquatic robots is challenging when you have something like this but what we hope to use this for is to begin to look at multi fin coordination move forward and backward motion of the robot comparison to what fish can do and flows that come off of individual feeds and then interact with flows in the tail so we've documented from our. Work on fish that upstream fins modify the flow hundred dynamically before it encounters the downstream fans and this has an important effect on the dynamics of propulsion. But now we have a model system we can use to to look at that in a more biomimetic fashion. So this is sort of as far as I'm concerned. Before I retire this is my ultimate biomimetic device. But to get there. We worked on individual fins and so here is a robotic pectoral fan that's attached to our apparatus is not part of a biometric fish with individual fin rays that are printed so we can modify the flexibility of those we can attach strings and tendons and make it move back and forth. So we can move this petrol fit in a flow tank in a vertical laser light she we can image the flow that comes off of that and one of the things that we did was we imitated a very interesting biological observation we had for. The fish's pectoral fin when it moves and that's shown in this view of the robot here on the right from behind where you can see the fin cuts the curving nature and as it comes down hopefully you can see the flow going around both sides. So there's that if you're used to the flight literature there's a leading edge vortex that's formed on insect wings but the pectoral fins officials like this form two leading edge board sees one on each side of this curve confirmation that comes around and our our research seems to show that what that does is that enables the fish to because you have opposite sign board to city around the top and bottom of the thing that minimizes the center of mass motions as the fish goes forward. It's not the words it's not like a penguin where you have the wings flapping up and down and every time the wings go down the penguin goes up and vice versa and you see them going like this through the water the sun just moves very steadily through the water and in part that's because of the opposite sign vorticity rotating around the two edges of that pectoral fin now in the tail robot So this is our sort of test platform of the caudal fin of a fish this is the tail of a fish. We have tendons going down into the body and out and we can move this tail in different ways and in the next slide you'll see some different motion programs for the tail so we can move the tail up and down in a flat conformation we can roll it back and forth a number of different ways or we can produce this cupping motion that you saw for the Petrel fan here where the tail cuts up and then turns around and will cut down into the flow. There is coming down into the flow and we can measure the forces and see what effect these different types of motions have on the force pattern and if we look at that what we found which was I thought was quite interesting and perhaps not entirely surprising to the fluid dynamicists that this cup in motion the red triangles if we plot of thrust force against frequency becoming more. Produces the highest thrust forces at a given frequency once you get about half a Hertz here so that when this cupping motion a fish fins where the surface doesn't move flat and it doesn't move with a defined leading edge it moves with two leading edges into the flow is a very common phenomenon in fish biomechanics we see it in a lot of different fins and it's something I think it's important for robotic devices to be able to do so far. Many of the whole fish robots have plexiglass fins that are rigid. So I think the ability to modulator the confirmation the fan is very important. So that's the by of the medic robot side of things. Let's now go the other extreme to something really simple. I like simple. I'm getting older I like the simpler the better for me. And so we decided to build in the lab a robotically controlled flapping device that can measure the forces on the flapping objects. The flapping objects will swim in a research letting flume and we can then swap out very simple different materials and study their swimming performance. So hopefully this movie will play and that movie will play out as this one stopped but you can see what we have here the looking from below. We have a piece of plastic like like this that were heaving back and forth attached to its leading edge only and you can see that here. So here this will be flapping back and forth like that and it's making a nice wave form down the body and it's actually swimming. So the system we have uses a research relating flow tank and mounted up above it. You'll see in the next slide as well as a low friction air carriage system that allows the foil to generate thrust and swim and then we tune the flow past it to bring it back to its initial position so even though it looks like we're holding this in place upstream and downstream and just allowing it to move like this. In fact it's free to move upstream and downstream to it just doesn't. Because its thrust is matching the drag incurred by the water moving past it. There's water moving past it generating thrust and we've tuned the flow to match the drag so that it's. Swimming and it's really swimming self-propelled speed. And likewise here you see this apparatus. Playing there's a rod holding its flexible foils there's an A.T.F. force torque sensor here so we can measure the forces in the two arcs and measure the cost of transport. It turns out that these foil swim it Reynolds numbers in St Paul numbers which are very similar to swimming fish. So we feel like we have a very reasonable model here of a swimming fish and here is our carriage system up above on the air carriages with heaving pitch Motors this diamond now it's attached to a rigid foil original boom plate but we can swim this and measure hundred nomics measure kinematics measure efficiencies do lots of things with it. These are meant to imitate the undulate Torrie bending patterns you see from swimming fish years and you know he was a trout. So this bending flexing motion. You see in swimming fish is what we're looking to imitate with our flexible for oil system. And when you look at the midline patterns here is that a clown my fish. Here's the bluegill sunfish and here is what I call a stiff boil. Here's a flexible foil you can see we can do pretty well at imitating the motion of a fish with these flexible materials. And we can measure the factual stiffness which we've done so we know exactly what the flexible stiffness of that is. So let's just do some very simple experiments. Let's look at the effect of altering stiffness so here's an anesthetized fish that's not very stiff and in fact it's a weed match the Flexeril stiffness of. Several of these plastics through the fish so we we've got a biologically realistic flexible fish and then let's just alter the lane. So experiment we can't do in biology we can't just make the fish twice as long keeping everything else constant. If we alter the stiffness we see a pattern that looks like this. So this graph shows the swimming speed the self-propelled swimming speed the speed at which these flexible plastics naturally would swim. Plotted against the stiffness of the material so each point is a different material across this graph their error bars in here but they're they're hard to see they're kind of hidden in the symbols. And fish Flexeril stuff this is right about in here. The passive body of fish lies right about here. And what you can see is for a particular way of moving the foils if we look at the dark blue diamonds. We see a peak right here and then a drop off in swimming speed with stiffness. But if we move it slightly differently. We add some pitch to the foil so instead of just moving it back and forth like this. We're going to add some rotation to it. We can eliminate this peak and have a long performance plateau that's high appear that light blue squares. And so fish should be able to alter the performance their swimming speed their performance by changing the nature of the way they activate different segments of the body. We know this to be true of course for measuring things on swimming fish. What these data show more quantitatively is that by adding some pitch moment which fish muscles can do to the body segments to the swimming fish. You can eliminate a performance detriment that you get as you stiffen the body and when fish swim faster they are stiffening the body estimates now are they. Steffen about two to three times their passive body stiffness as they swim faster. So now let's do the simplest possible experiment let's just make these plastics longer. So we're going to take a material that's like this going to make it longer and ask how well does it swim so this plot is going to be self-propelled swimming speed and centimeters per second against length and centimeters. If the foil is very small you don't expect much thrust to Foyle's very long you're going to get a lot of drag because we're only moving it at the leading edge somewhere in between. Maybe we get a. Peak. So we would get a curve that looks something like this. This was my expectation. As some of you have seen before. This is what we actually found. I have to tell you this is interesting because on the monitors in my slides it's red but here it's. Black it. That's interesting because I have different color graphs about to appear so you can see that we find very non-linear patterns of change in swimming speed with length some lengths are very bad. Some are better and this has to do with the nature of the flow down the foil how it's bending relative to the flow past it and when you change the stiffness of the mature so we think of these as resin troughs and peaks and they're pretty narrow they're within three or four centimeters. And when we look at the colors or. What's exciting. These are all very different colors. But you can see that the different materials from most gifted medium to least. I think you get the idea there is a very different pattern of swimming speed with Wayne. That depends on the Flexeril stiffness so I was pretty confused by this. So I called Silas Alban here it applied math in Georgia Tech and Silas made a nice mathematical model of this where his Our experiment and his model experiment and model and then his experimental peaks and troughs year which he was able to then calculate with much more precision than we could do in the in a laboratory setting that the point here is you can see narrow troughs and peaks resonant peaks and troughs through this particular material play again plotting swimming speed against length that show that the system is quite sensitive to length. So as fish change their length like all other things being equal. They're going to be some significant changes in swimming performance that you might expect if they don't compensate. In other ways I think is no evolutionary biologist It makes me a little nervous because quite a few claims have been made about different populations of fish that change their body size and I think that shows you the. The body size effect particularly Wayne can be quite quite complicated to understand. It's a very good question. It's a pretty recent result for us so we have not actually looked at these in fish. I think the alter of a fish just in length is not that probably that easy to do but look. Actors. Appear lake effect no no one has done that yet but that would be up to us. I think. The frequency will change that plot a fair amount and the it takes a while to do the experiment so that I left a silence to do in the computational domain to affect frequency of the amplitude of the heave motion can change things too and whether you add pitch it's a very big parameter space to explore and you're absolutely right it does change that and it can change the pattern with stiffness so I think there's a lot a lot to learn here about the fundamental dynamics of aquatic swimming stiffness versus swimming speed. So I think I had a key issue still to resolve with this if you think about how we did these experiments. We've got a very low mass foil here this thing is fifteen grams or so the carriage up above the controls this and moves that is about four kilograms. So the one thing we haven't done a good job of imitating is the center of mass motion of this while this oil was swimming in the middle of the ocean. It would be bending back and forth it would also be moving upstream and downstream slightly as it swims as it generates thrust at different points in the flapping cycle so there should be some center of mass motion to this boil. So in our effort to make a more biologically realistic. Well bought it. System that imitates not just the bending of a wave form of this with the flapping foil but also the center of mass motion and you put the colors are really wild here. You're not you're not seeing parts of it. We decided to modify a robotic apparatus and if you don't modify it. This is what you see I'm going to show you a movie here of a bending for oil in a laser light with particles and we're going to plot the force simultaneous to those measurements to this images. The force versus time and you can see that we see force oscillations with in a cycle which is what you would expect to see with this set up as you have a very heavy carriage this thing is pushing against that heavy carriage. It's pulling back against a heavy carriage and so you see these large force oscillations through time. But if this was a true freely swimming for oil that should be near zero These force oscillations would be nearly instantaneously zero as the center of mass is allowed to move back and forth. So in order to fix that we added a a motion to the robotic flapping for the device that imitates the center of mass motion and I've exaggerated it in these movies so you can see it play this first movie. You can see the carriage here heaving back and forth which is moving the spoil back and forth but we've added a linear motor here that's pushing back and forth on the carriage at the same time. So we're forcing. The swimming for oil here to move back and forth like this but also upstream and downstream. And you can see that here where we look from below here is the bending for oil again I greatly exaggerated this I think this is a centimeter upstream and downstream but we're moving it upstream and downstream at the same time we're moving it back and forth. Now we want to look at the parameter space so let's look at changing the phase and changing the amplitude of this oscillation So we're going to move it up backwards forwards a lot then a little bit. We're going to change the phase of when we time the motion relative to the heave side to side and you can see a nice minimum here where this one's about half a millimeter where we find we minimize the force oscillations. And so it's. We apply this phase of a back to seventy in about a half millimeter upstream downstream amplitude and look at the movie again this trace up top shows you the linear motion is a plus or minus about half a centimeter half a millimeter and on the bottom then we get a force trace that's not exactly zero we're down to around five million Newtons which is not too bad. Given everything else. So what we feel we've done here is to convert this for oil swimming in the lab into what it would be like in the middle of the ocean that is it's allowed to have center of mass oscillations it's allowed to flat flux back and forth. So we feel we have a nice model for a really swimming fish that includes. Oscillations of the body in the upstream downstream direction so that begs the question what are fish do in the upstream downstream direction. What if in a live fish whether it's center of mass oscillations or at least it's X. direction upstream downstream body oscillations which is what they really aren't that I'm going to measure here for you. What the magnitude of those if you have a twenty centimeter fish does its body move up and down a centimeter millimeter Micron what it was was it moved and the way we've done that too is to measure the center of mass or the least the body position oscillations I should say in the following way. And people who have tried this in the past have done things like trying to digitize the nose of the fish here. And you can see that that's not so easy to do and you can light it a little differently but you have one pixel error up and down stream and you get kind of a mess when you differentiate that twice to look at accelerations so what we've done is use a pattern matching algorithm to natch the pattern to track the pattern over the center of mass location on a fish. In different views and track that through time and these are the velocity vectors of the motion of this portion of the fish at this moment in time we can track that through time. Take a mean if you just a much better out estimate of body velocity through time and here's a movie that shows you what this looked. Looks like here's a little sunfish you're going to see yellow velocity vectors you're tracking this pattern of this region of the fish and the graph on top shows you the tail beating back and forth in the dark blue and white is the acceleration of that point on the fish in the upstream downstream direction and typically you see twice the frequency the body accelerates forward and back twice the frequency of the tail be. So now we have a good way of tracking this we can look at the motion of the fish in this upstream downstream direction and if you remember from the flapping Foyle experiments we found about half a millimeter was the amplitude that is the peak amplitude of the sine wave oscillation. And when you look at a variety of different swimming fish. If you double that you get about a millimeter this is the amplitude of the oscillation in the X. direction and you see for different fish and varies a little bit. It's around a millimeter the mathematical amplitude be half millimeter of the wave upstream and downstream so I think we have a nice system down to begin to explore what center of mass motions of fish do what oscillations in body posture occur during locomotion it's a little embarrassing I think for us in the aquatic realm because terrestrial workers and robotics the center of mass is really important tracking it. But we've ignored it completely in the chronic realm but but not for much longer. Hopefully we can continue to make progress in this regard not want to end. With some of our newer work using the robotic flapping foil devised to attack a problem that has been well recognized in the bio bioengineering community and that is the structure of sharkskin and up connect this to the robotic foil see the connection to the robotic system in a moment but for many years. Biologists certainly have recognized that shark skin has an interesting structure to it and bio engineers and engineers have used this as sort of generic inspiration for making bumpy surface is that reduce drag. There are quite a few papers sort of. With the Sharks in bio inspiration trying to look at the effects of that on the surface drag on the on on a particular. Plate or coat the plate with different materials but to my knowledge all of that work has been done on rigid oils rigid platforms coated with material flow is moved past it and the drag is measured. But sharks course move. That's one of their most important biological characteristics. So I thought we had an opportunity with a robotic flapping foil device to study the locomotive effect of sharkskin while it's actually moving what you see here is a picture of a bonnet head shark with S.C.M. images of the scales from different parts of the body. This is a very characteristic these are at this image actually rotated ninety degrees the scales don't point down they point back these prongs point back. We can look at zoomed in the scales near the head of this sort of flat paving like nature but the ones down the body have these ridges and here's a field of these and here's a blowup of one of those and they're about one hundred thirty microns in Dimension them a very intricate structure and I should say these are bone people think of sharks as being Carnlough genus fishes. But sharks have bone and here it is their cut their skin is covered with bone. And even better than that each one of these is actually a little too just like your two that it's got enamel it's got Denton has a little pulp cavity inside it. So this is where your two teeth came from a long long time ago but you can see that a very interesting structure they've got these ridges would stand up a Staal up surface. It's inspired the speedo wetsuits these are now banned but the small ones are been sort of inspired by shark skin. There's a loose inspiration of Ribot's these groove materials that are used on wind turbines and other. The Americas cop I think from one thousand nine hundred seventy had reports on the hall and did really well when they banned it. Because it went faster. There's general shark inspiration for these these structures. So what we thought we could do was to test the effect of shark skin and some of the biomimetic material so we have we made our own material I have a sample here if you want to see it afterwards and we have some of the speedo fast into wetsuit material you can see in about ten seconds it's not very biomimetic but I'll show you a picture in a moment and we can study sharkskin we have this flapping foil apparatus what we can do is get some nice freshly dead sharks we can chop out pieces we can clean off all the skin underneath and make the skin strips and we can glue them to each other and make a membrane a sandwich. Of sharkskin. So that each part of the outer surface. Has the surface structure of the skin has the dentical structure of sharkskin. And we can make these into for oil is that we can attach to the apparatus so we can make a rigid foil so here's a rigid plate aluminum plate covered with sharkskin on both sides and here is a flexible foil that we've made out of the two layers of shark skin and what you can see down here but the dark outer area is the skin surface and then the little white area in the middle like an ice cream sandwich is the skin that's underneath that we glued to each other. And these will bend. When they swim and we imaged just downstream of this to show that you know what the scales and the scales are called scales or dentical. Look like they're. So we were able to make a membrane that approximated the curvature that we see in actual swimming sharks so we swam sharks in the lab we measured the curvature of the body down here in the mid tail ish region we compared that to the curvature that we see here on our shark skit membranes of this is a minute by layer membrane of actual shark skin and we were able to swim these so. This movie on the bottom here shows. US heaving this membrane of sharkskin back and forth plus or minus two centimeters with twenty degree pitch between one and three Hurst we moved it in different ways and you can see this membrane is swimming in again it's in our freely swimming apparatus so this membrane of shark skin is swimming. And it's self propelled speed and whatever its natural speed would be given this motion. Given this input heave motion like you want to treadmill you set the speed at two miles an hour you're walking to match that speed. If you increase the speed you have to walk faster here if we increase the speed the sharkskin wouldn't be able to keep up. It would move downstream so we we matched the flow to its thrust. Here is the speedo material. This is they're fast into material which they don't make wetsuits out of anymore. This is the underside. And that's the biomimetic side so I hope that doesn't look like sharkskin to anybody here. And when you cross section it you'll see basically what they've done is they stamped dents in the surface and the dents look like it should make you go fast on the pattern the top of the deaths are quite widely spaced about a millimeter and a half apart. We didn't think this would do much. So we made membranes but we made membranes out of this mask and fabric with the biomimetic that surface on the outside of the flap them back and forth and then we made other membranes where the bottom the Minix surfaces on the inside and we flopped back and forth it's important to keep the Flexeril stiffness of the material constant. Buzz want to change the surface. That's in contact with the propulsive water. And what we found were things like this for the speedo material see a grandmother graph that looks like this. This is swimming speed on this axis. And these are different ways we moved the foil different motion program so through these two bars you can see we move to two hurt plus or minus two centimeters with no pitch for this one. We went three hurts plus or minus two centimeters twenty degree pitch and you can see here there was no significant difference in swimming speed they both swim almost twenty centimeters per second with the biomimetic surface on the outside. Compared to on the inside here it swam slightly faster but here it swam quite a bit slower so he had this motion program the bottom of a slow down the foil so on average we concluded the speedo surface doesn't actually do anything now the whole suit does things the whole suit reduces your drag. It's not because of the surface we can talk more about that. Figuring out the control for shark skin was not so easy because we needed to swim the membrane with the gun tickles and then I wanted to remove the Democrats. But I didn't want to alter the Flexeril stiffness of the skin by chemically treating it or trying to pick out with forceps each individual hundred micron scale. So we took the sanding it off so we wet sanding down the surface and you do see a number of little nubs present here there's no doubt about it. These are bedded in the skin. It's very hard to remove all the knobs. But certainly that looks a lot different than this. So let's compare the swimming speed of membrane like flexible foils made of normal Sarsi and after we sand off the surface and what we found was in every case the normal sharkskin swims faster when it's part of a flexible foil when it's allowed to been back and forth. Here's a case where intact sharks can swim faster than when we sand it off when we moved it in this way. It's when fast and when we send it off when we moved it like this when faster than when we sent it off the average benefit was about thirteen percent. And interestingly this was not the case for the SAARC starts to get attached to a rigid foil on a rigid foil sanding the surface actually reduce increase the swimming speed increase the swimming speed I think because the wetted surface area is down but when a flexible membrane bent like a shark swims its wings faster with the Democrats attacked. There's an interesting other part to this story. Now we want to just look at the flow over the shark skin membrane so here's a shark skin membrane. Here's a laser light sheet we're going to image the flow as this membranes move back and forth in by our floppy for all device. And what we can see here is my turn the lights off a little more that's it that's OK So here's our sharkskin membrane we have laser light coming in from the bottom. It's making a shadow here flow freestream flow is going down left to right and you can see the foil bending here and you see this large leading edge vortex that's formed on this foil as it moves up. There's one on the in the shadow here on the other side as it moves down. It's about to move up here we go builds and builds a build it's actually really hard. It's a couple of centimeters and then it's destroyed and peels off when the foil moves back the other way. Now this type of motion is very similar to what happens on a live shark tale the back and body that's been demonstrated their separation leading edge border sees have been certainly suspected in this membrane now we can see this leading edge more attacks and you can see how close it is to the surface the flow on the surface here is actually moving in the opposite direction as this big tech spins up what we noticed was that the position of that vortex changes when you sand down the surface tentacles we can see that here. This last data slide. Here's the sharkskin foil. Here's the vortex. Here's the sharkskin foil where we've sanded off the surface bony genitals and the vortex moves further out and this these plots to show that that peak vorticity is about a centimeter further away from the foil when the sand off the dental is to when it's intact and this suggests to me that the shark skin Demichelis people have been thinking them a drag reducers which they may well be but that they might also be enhancing leading edge suction that is the suction force on the leading edge of the tail by promoting enhancement of that vortex. On the surface of the tail that vortex. The closer it is to the surface the stronger the leading edge section and you can get a nice That has been a thrust by the dentals not just reduction of drag that's a hypothesis is that the devils might be doing both things. So let me wrap up and say that I think that as an evolutionary biologist someone who kind of wound their way through a Securitas route into engineering and bioengineering that really it's been a tremendous benefit because it lets us do things we just can't do just measuring the forces on really swimming fish has been a pain in the neck over the years. You know there are things we can do we can quantify the way we can look at momentum flux in a way but it gets of life issues this is just hard. We can track body accelerations that's something that's we're doing more of that's not so easy to do and it takes to a lot of time. So a robot we can attach our force transducer it's a big benefit I'm very jealous of the terrestrial locomotion people because it's just easier to measure forces but robotic devices for all of us were great and I think the biomimetic devices are very valuable but they are hard to build takes a few years to build them and I fish robot took a few years to build. Take us about a year and a half so far to get the whole this robot with all of its pins actuated and not leaking and it's just it's a challenge. So I think it's a very valuable approach but I think it helps to have another kind of approach at the same time and I think that the simple robotic models just the simple flexing for oils. Even very flexible things like this swim actually quite well. And we can study the effect of stiffness we can study effectively we can swap out for sharkskin we can study lots of things about the functional design of fish is that a very hard to do in a in a lot of fish and so I like very much. The the approach and I think that in combination with studies of life fish. I think we have an opportunity to make some real advances in our understanding of aquatic. Olson and of the engineering of human devices to allow us to do things in the water also thank you very much. Happy to answer questions an hour later yes. The it's a very good question. The Danica's themselves are not active but it's been proposed by a couple of groups that the bending of the skin enables them to bristle and flare out and back and that suggests you know maybe they're pumping water out into the boundary layer as they're bending back and for them there could be on god knows a number of things going on and nobody really knows yet nobody has imaged what the Democrats are doing. At you know. Half cent and half centimeter square field of view. As they're swimming but that's certainly something we're interested in doing. Or they're very they're very three day. Absolutely. So normal fish scales are more like flattened layers stacked like this shark scales stand up there. They're like a tooth and they're cups. So we've actually imaged using a microscope to reconstruct in three dimensions the stark scale who's making a biomimetic version of this is actually not so easy because there are you're at the hundred micron scale there are features you'd like a thirty Micron scale. There are three dimensions so it's yeah. So they sit up kind of like this their little stalks then they flare out and then the next one is like that. Nobody's ever quantified. Are they randomly spaced Is there a ray of these and that that's something we could test with a biomimetic skin but sharks do lose them and they can regrow them. Yes. Well it's an interesting question because the catfish actually are part of a group that is not the spiny thing fishes but you're right that they have those spines and then the spine even fishes that I mentioned earlier have rigid spines that actually are not able to move side to side they can only go up and down and that seems to be something to fish use for maneuvering also as well as for protection when they're executing it turned out put that up like an instantaneous heel being erected in this case and it's difficult side force as opposed by the fluid. So I think in case of catfish they have a pectoral spines which you know no one's really looked at their their use in locomotion but they're certainly used defensively there certainly is a wedge themselves and crevices. And there are some Capra species actually rub them. The basic against their body to make sounds and communicate with each other so. The tapestry interesting special case I would say but for other fish they would have the spiny fin. The ribs or spine and I think does play an important role in locomotion hasn't been studied all that much. Become over here does in that. They do so. Yes So when the federal thing comes out that that the amount of cupping in there will change with speed it will it will change the speed and. To Remember it could be. It's a little tricky because as the fish go faster. I think it is it's more cup with speed but the problem with the fish I showed you is as a fish like if you know think of like locomotion horses horses that gait they go from a walk to a trot to a gallop fish have gates to actually so when they swim in a slower speed they're using the petrol fin with this cupping motion. But they're reaches a point actually which they can't generate enough thrust with their pectoral fins as they start to use their tail and their dorsal and their. Offensive though were crude other fins and then as they go even faster they start to really bend or body. Not all fish have the same gates but many fish have that pattern that I described. So the cupping increases but then only to a point at which point they sort of stop using their pectoral fin so much and use other muscles for the back the body. Oil Well there's that's a very difficult question and I really I can't give you a good answer. I think because the surface is a fish the fins are very flexible and they're subject active control but the fluid forces are still large when you see any given amount of bending you actually don't always know what percentage of that is due to active control by the fish and what percentage of is due to impose forces by the fluid. So the the best way we've been able to work on that is record from the muscles so if you see the fluid bending the fin back what might look passive but all the muscles that would pull the fin forward are active in the fish. We conclude that the pattern you're seeing is a combination of active effort by the fish to stiffen the fin and loading by the fluid on the thin to to bend it back so I think most for most moderate to fast winning and fish. It's a combination I think the fish are clearly actively tuning their bodies and their fins. Absolutely. But they're also subject to substrata fluid loading that is going to also impact of the bending pattern that you actually see. We can maybe we can talk about so it's a it's a tricky and complicated non-trivial question. Two and a half. Right. So we've worked on with like a drop the feel is group at M.I.T. a dead fish will actually swim in of why. Tech street and there is although they're not so dead there Steph. But if they're flexible dead. They'll swim in a vortex street and you get a Carmen St and the fish will can tune their body to the width of the street and the oncoming boards to sexually generate thrust and move upstream against an oncoming flow. So a purely passive fish can generate thrust that's one wrinkle to your to your question but I think in most fish swimming most of the time the pop pattern of body bending you see is a combination of active and passive and it just makes it tricky to UN cover the physics of the system. You mean different amplitudes longest later. OK so. So while your question is. OK. A little bit. Yes I think that's true. So I would say that's true and for very flexible foils it's it's more obvious for a very flexible material where you can see many wavelengths that you can. Use me just shorten it up and see that you're short of the number of waves even double the length of each wave can actually stay that constant when you get to a stiffer material the wavelength can change as lane changes too because the fluid is pushing on the on the on the material which is still somewhat flexible and so we haven't tried to isolate that I'd say it's a cop my my my not so good answer. It's got the complex interaction and what's one reason we like the swimming speed the self-propelled swimming speed is our performance metric because that kind of integrates all of that into one just ask how well does it swim. Where. That becomes very important as asking Well then why is it swimming so fast and I think we don't have a full answer to that yet. I would say. Time.