Undulatory Swimming Performance Explored With a Biorobotic Fish and Measured by Soft Sensors and Particle Image Velocimetry

Due to the difficulty of manipulating muscle activation in live, freely swimming fish, a thorough examination of the body kinematics, propulsive performance, and muscle activity patterns in fish during undulatory swimming motion has not been conducted. We propose to use soft robotic model animals as experimental platforms to address biomechanics questions and acquire understanding into subcarangiform fish swimming behavior. We extend previous research on a bio-inspired soft robotic fish equipped with two pneumatic actuators and soft strain sensors to investigate swimming performance in undulation frequencies between 0.3 and 0.7 Hz and flow rates ranging from 0 to 20 c m s in a recirculating flow tank. We demonstrate the potential of eutectic gallium–indium (eGaIn) sensors to measure the lateral deflection of a robotic fish in real time, a controller that is able to keep a constant undulatory amplitude in varying flow conditions, as well as using Particle Image Velocimetry (PIV) to characterizing swimming performance across a range of flow speeds and give a qualitative measurement of thrust force exerted by the physical platform without the need of externally attached force sensors. A detailed wake structure was then analyzed with Dynamic Mode Decomposition (DMD) to highlight different wave modes present in the robot’s swimming motion and provide insights into the efficiency of the robotic swimmer. In the future, we anticipate 3D-PIV with DMD serving as a global framework for comparing the performance of diverse bio-inspired swimming robots against a variety of swimming animals.

[1]  David Scott Barrett,et al.  Propulsive efficiency of a flexible hull underwater vehicle , 1996 .

[2]  Dinh Quang Nguyen,et al.  Anguilliform Swimming Performance of an Eel-Inspired Soft Robot. , 2021, Soft robotics.

[3]  Michael Sfakiotakis,et al.  Review of fish swimming modes for aquatic locomotion , 1999 .

[4]  Yong-Lae Park,et al.  Design and Fabrication of Soft Artificial Skin Using Embedded Microchannels and Liquid Conductors , 2012, IEEE Sensors Journal.

[5]  Auke Ijspeert,et al.  Design and development of the efficient anguilliform swimming robot - MAR. , 2020, Bioinspiration & biomimetics.

[6]  A. Jusufi,et al.  Tails, Flails, and Sails: How Appendages Improve Terrestrial Maneuverability by Improving Stability , 2021, Integrative and comparative biology.

[7]  Rebecca K. Kramer,et al.  Hyperelastic pressure sensing with a liquid-embedded elastomer , 2010 .

[8]  Daniela Rus,et al.  Hydraulic Autonomous Soft Robotic Fish for 3D Swimming , 2014, ISER.

[9]  John T. Beneski,et al.  Death roll of the alligator: mechanics of twist feeding in water , 2007, Journal of Experimental Biology.

[10]  G. Lauder,et al.  The hydrodynamics of eel swimming , 2004, Journal of Experimental Biology.

[11]  Daniela Rus,et al.  Autonomous Soft Robotic Fish Capable of Escape Maneuvers Using Fluidic Elastomer Actuators. , 2014, Soft robotics.

[12]  Dylan S. Shah,et al.  Reprogrammable soft actuation and shape-shifting via tensile jamming , 2021, Science advances.

[13]  Robert J. Wood,et al.  Wearable soft sensing suit for human gait measurement , 2014, Int. J. Robotics Res..

[14]  Jasmine A. Nirody,et al.  Geckos Race Across the Water’s Surface Using Multiple Mechanisms , 2018, Current Biology.

[15]  Eric D. Tytell,et al.  Do trout swim better than eels? Challenges for estimating performance based on the wake of self-propelled bodies , 2007 .

[16]  P. Schmid,et al.  Dynamic mode decomposition of numerical and experimental data , 2008, Journal of Fluid Mechanics.

[17]  A. Ijspeert,et al.  Reverse-engineering the locomotion of a stem amniote , 2019, Nature.

[18]  J. V. van Leeuwen,et al.  How body torque and Strouhal number change with swimming speed and developmental stage in larval zebrafish , 2015, Journal of The Royal Society Interface.

[19]  Hwa Soo Kim,et al.  A New Lizard-Inspired Robot With S-Shaped Lateral Body Motions , 2020, IEEE/ASME Transactions on Mechatronics.

[20]  R. Vilain [Heads or tails]. , 1962, Concours medical.

[21]  H. Bart-Smith,et al.  Central Pattern Generator Control of a Tensegrity Swimmer , 2013, IEEE/ASME Transactions on Mechatronics.

[22]  Alexander J. Smits,et al.  Efficient cruising for swimming and flying animals is dictated by fluid drag , 2018, Proceedings of the National Academy of Sciences.

[23]  Metin Sitti,et al.  Morphological intelligence counters foot slipping in the desert locust and dynamic robots , 2018, Proceedings of the National Academy of Sciences.

[24]  A. Farrell,et al.  Energetics and morphology of sockeye salmon: effects of upriver migratory distance and elevation , 2004 .

[25]  Stephane Cotin,et al.  EP4A: Software and Computer Based Simulator Research: Development and Outlook SOFA—An Open Source Framework for Medical Simulation , 2007, MMVR.

[26]  Dongwon Yun,et al.  Actuation of a robotic fish caudal fin for low reaction torque. , 2011, The Review of scientific instruments.

[27]  Steven L. Brunton,et al.  On dynamic mode decomposition: Theory and applications , 2013, 1312.0041.

[28]  Adrian L. R. Thomas,et al.  Flying and swimming animals cruise at a Strouhal number tuned for high power efficiency , 2003, Nature.

[29]  G. Lauder,et al.  Passive propulsion in vortex wakes , 2006, Journal of Fluid Mechanics.

[30]  Yong-Lae Park,et al.  Modeling and Control of a Soft Robotic Fish with Integrated Soft Sensing , 2021, Adv. Intell. Syst..

[31]  Daniel M. Vogt,et al.  Design and Characterization of a Soft Multi-Axis Force Sensor Using Embedded Microfluidic Channels , 2013, IEEE Sensors Journal.

[32]  Steven L. Brunton,et al.  Dynamic mode decomposition - data-driven modeling of complex systems , 2016 .

[33]  George V. Lauder,et al.  NEW DATA ON AXIAL LOCOMOTION IN FISHES : HOW SPEED AFFECTS DIVERSITY OF KINEMATICS AND MOTOR PATTERNS , 1996 .

[34]  P Grad,et al.  Against the flow , 2006 .

[35]  G. Lauder,et al.  Fish optimize sensing and respiration during undulatory swimming , 2016, Nature Communications.

[36]  Carmel Majidi,et al.  Liquid Metal-Microelectronics Integration for a Sensorized Soft Robot Skin , 2018, 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS).

[37]  C. Willert,et al.  Digital particle image velocimetry , 1991 .

[38]  James Weaver,et al.  Heads or Tails? Cranio-Caudal Mass Distribution for Robust Locomotion with Biorobotic Appendages Composed of 3D-Printed Soft Materials , 2019, Living Machines.

[39]  KovačMirko,et al.  The Bioinspiration Design Paradigm: A Perspective for Soft Robotics , 2014 .

[40]  Christian P. Giardina,et al.  Flying and swimming animals cruise at a Strouhal number tuned for high-power efficiency , 2003 .

[41]  G. N. Sandor,et al.  A Lumped Parameter Approach to Vibration and Stress Analysis of Elastic Linkages , 1973 .

[42]  C. A. Pell,et al.  Mechanical control of swimming speed: stiffness and axial wave form in undulating fish models , 1995, The Journal of experimental biology.

[43]  Yonghui Hu,et al.  Optimized design and implementation of biomimetic robotic dolphin , 2005, 2005 IEEE International Conference on Robotics and Biomimetics - ROBIO.

[44]  K.M. Lynch,et al.  Mechanics and control of swimming: a review , 2004, IEEE Journal of Oceanic Engineering.

[45]  Maarja Kruusmaa,et al.  Against the flow: A Braitenberg controller for a fish robot , 2012, 2012 IEEE International Conference on Robotics and Automation.

[46]  Dongwon Yun,et al.  Thrust characteristic of a caudal fin with spanwise variable phase , 2015 .

[47]  G. Lauder,et al.  Passive and Active Flow Control by Swimming Fishes and Mammals , 2006 .

[48]  Yasuo Kuniyoshi,et al.  Pole vaulting robot with dual articulated arms that can change reaching position using active bending motion , 2015, 2015 IEEE-RAS 15th International Conference on Humanoid Robots (Humanoids).

[49]  George V. Lauder,et al.  Robotic Models for Studying Undulatory Locomotion in Fishes , 2011 .

[50]  Tetsuya Iwasaki,et al.  Exploiting natural dynamics for gait generation in undulatory locomotion , 2019, Int. J. Control.

[51]  Aslan Miriyev,et al.  Skills for physical artificial intelligence , 2020, Nature Machine Intelligence.

[52]  Andre Seyfarth,et al.  Bio-inspired neuromuscular reflex based hopping controller for a segmented robotic leg , 2020, Bioinspiration & biomimetics.

[53]  J. Zhu,et al.  Tuna robotics: A high-frequency experimental platform exploring the performance space of swimming fishes , 2019, Science Robotics.

[54]  R. Full,et al.  Tails stabilize landing of gliding geckos crashing head-first into tree trunks , 2021, Communications Biology.

[55]  Auke J. Ijspeert,et al.  Amphibious and Sprawling Locomotion: From Biology to Robotics and Back , 2020, Annu. Rev. Control. Robotics Auton. Syst..

[56]  Daniela Rus,et al.  Exploration of underwater life with an acoustically controlled soft robotic fish , 2018, Science Robotics.

[57]  Yong-Lae Park,et al.  Heterogeneous sensing in a multifunctional soft sensor for human-robot interfaces , 2020, Science Robotics.

[58]  A. Jusufi,et al.  Body Caudal Undulation Measured by Soft Sensors and Emulated by Soft Artificial Muscles , 2021, Integrative and comparative biology.

[59]  M. Triantafyllou,et al.  Hydrodynamics of Fishlike Swimming , 2000 .

[60]  R. Nudds,et al.  Rainbow trout provide the first experimental evidence for adherence to a distinct Strouhal number during animal oscillatory propulsion , 2014, Journal of Experimental Biology.

[61]  I. Mezić,et al.  Spectral analysis of nonlinear flows , 2009, Journal of Fluid Mechanics.

[62]  Wernher Brevis,et al.  The fish Strouhal number as a criterion for hydraulic fishway design , 2017 .

[63]  David Wingate,et al.  Learning nonlinear dynamic models of soft robots for model predictive control with neural networks , 2018, 2018 IEEE International Conference on Soft Robotics (RoboSoft).

[64]  P. Webb,et al.  Power Requirements of Swimming: Do New Methods Resolve Old Questions?1 , 2002, Integrative and comparative biology.

[65]  Daniel M. Vogt,et al.  Undulatory Swimming Performance and Body Stiffness Modulation in a Soft Robotic Fish-Inspired Physical Model. , 2017, Soft robotics.

[66]  Uri Shaham,et al.  Dynamic Mode Decomposition , 2013 .

[67]  J. Liao,et al.  Fish Swimming in a Kármán Vortex Street: Kinematics, Sensory Biology and Energetics. , 2017, Marine Technology Society journal.

[68]  Barbara A. Block,et al.  Direct measurement of swimming speeds and depth of blue marlin , 1992 .

[69]  James Tangorra,et al.  Fish biorobotics: kinematics and hydrodynamics of self-propulsion , 2007, Journal of Experimental Biology.

[70]  Robert J. Wood,et al.  Soft Sensors for Curvature Estimation under Water in a Soft Robotic Fish , 2019, 2019 2nd IEEE International Conference on Soft Robotics (RoboSoft).

[71]  G. Whitesides,et al.  Pneumatic Networks for Soft Robotics that Actuate Rapidly , 2014 .

[72]  P S Krueger,et al.  Measurement of propulsive power and evaluation of propulsive performance from the wake of a self-propelled vehicle , 2006, Bioinspiration & biomimetics.

[73]  Chunlin Zhou,et al.  Performance study of a fish robot propelled by a flexible caudal fin , 2010, 2010 IEEE International Conference on Robotics and Automation.

[74]  Y. Wang,et al.  A lumped parameter method in the nonlinear analysis of flexible multibody systems , 1994 .

[75]  J. Rayner,et al.  Pleuston: animals which move in water and air. , 1986, Endeavour.

[76]  C. Eloy Optimal Strouhal number for swimming animals , 2011, 1102.0223.

[77]  G. Lauder,et al.  The Kármán gait: novel body kinematics of rainbow trout swimming in a vortex street , 2003, Journal of Experimental Biology.

[78]  K H Low,et al.  Parametric study of the swimming performance of a fish robot propelled by a flexible caudal fin , 2010, Bioinspiration & biomimetics.