Ground fluidization promotes rapid running of a lightweight robot

We study the locomotor mechanics of a small, lightweight robot (DynaRoACH, 10 cm, 25 g) which can move on a granular substrate of 3 mm diameter glass particles at speeds up to 5 body length/s, approaching the performance of certain desert-dwelling animals. To reveal how the robot achieves this performance, we used high-speed imaging to capture its kinematics, and developed a numerical multi-body simulation of the robot coupled to an experimentally validated simulation of the granular medium. Average speeds measured in experiment and simulation agreed well, and increased nonlinearly with stride frequency, reflecting a change in propulsion mode. At low frequencies, the robot used a quasi-static “rotary walking” mode, in which the substrate yielded as legs penetrated and then solidified once vertical force balance was achieved. At high frequencies the robot propelled itself using the speed-dependent fluid-like inertial response of the material. The simulation allows variation of parameters which are inconvenient to modify in experiment, and thus gives insight into how substrate and robot properties change performance. Our study reveals how lightweight animals can achieve high performance on granular substrates; such insights can advance the design and control of robots in deformable terrains.

[1]  W. Mosauer Adaptive Convergence in the Sand Reptiles of the Sahara and of California: A Study in Structure and Behavior , 1932 .

[2]  C. Crawford Biology of Desert Invertebrates , 1981, Springer Berlin Heidelberg.

[3]  T. Hung Life in Moving Fluids—The physical biology of flow , 1988 .

[4]  R. Blickhan The spring-mass model for running and hopping. , 1989, Journal of biomechanics.

[5]  A. A. Biewener,et al.  Biomechanics-- structures and systems : a practical approach , 1992 .

[6]  R. Nedderman Statics and Kinematics of Granular Materials: Euler's equation and rates of strain , 1992 .

[7]  W. Dickinson,et al.  Low depositional porosity in eolian sands and sandstones, Namib Desert , 1994 .

[8]  D. Wolf,et al.  Force Schemes in Simulations of Granular Materials , 1996 .

[9]  T. McMahon,et al.  A hydrodynamic model of locomotion in the Basilisk Lizard , 1996, Nature.

[10]  H. Jaeger,et al.  The Physics of Granular Materials , 1996 .

[11]  Paolo Mantegazza,et al.  Multi-Body Analysis of a Tiltrotor Configuration , 1998 .

[12]  A. Barabasi,et al.  Slow Drag in a Granular Medium , 1999 .

[13]  Daniel E. Koditschek,et al.  RHex: A Simple and Highly Mobile Hexapod Robot , 2001, Int. J. Robotics Res..

[14]  Roger D. Quinn,et al.  Comparing cockroach and Whegs robot body motions , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[15]  G. Hill,et al.  Scaling vertical drag forces in granular media , 2005 .

[16]  Jonathan E. Clark,et al.  iSprawl: Design and Tuning for High-speed Autonomous Open-loop Running , 2006, Int. J. Robotics Res..

[17]  D. Durian,et al.  Unified force law for granular impact cratering , 2007, cond-mat/0703072.

[18]  Howie Choset,et al.  Design of a modular snake robot , 2007, 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[19]  Mark R. Cutkosky,et al.  Whole body adhesion: hierarchical, directional and distributed control of adhesive forces for a climbing robot , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[20]  Robert J. Wood,et al.  Microrobot Design Using Fiber Reinforced Composites , 2008 .

[21]  P. Umbanhowar,et al.  Scaling and dynamics of sphere and disk impact into granular media. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  T. Aste,et al.  Onset of mechanical stability in random packings of frictional spheres. , 2007, Physical review letters.

[23]  Chen Li,et al.  Sensitive dependence of the motion of a legged robot on granular media , 2009, Proceedings of the National Academy of Sciences.

[24]  Ronald S. Fearing,et al.  DASH: A dynamic 16g hexapedal robot , 2009, 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[25]  Samuel Burden,et al.  Bio-inspired design and dynamic maneuverability of a minimally actuated six-legged robot , 2010, 2010 3rd IEEE RAS & EMBS International Conference on Biomedical Robotics and Biomechatronics.

[26]  Ronald S. Fearing,et al.  Systematic study of the performance of small robots on controlled laboratory substrates , 2010, Defense + Commercial Sensing.

[27]  P. Umbanhowar,et al.  Force and flow transition in plowed granular media. , 2010, Physical review letters.

[28]  John Matson Unfree spirit: NASA's mars rover appears stuck for good. , 2010 .

[29]  P. Masarati,et al.  Aeroelastic Analysis of a Micro-Air-Vehicle-Scale Cycloidal Rotor in Hover , 2011 .

[30]  P. Umbanhowar,et al.  Mechanical models of sandfish locomotion reveal principles of high performance subsurface sand-swimming , 2011, Journal of The Royal Society Interface.

[31]  R. Behringer,et al.  Particle scale dynamics in granular impact. , 2012, Physical review letters.

[32]  Chen Li,et al.  Multi-functional foot use during running in the zebra-tailed lizard (Callisaurus draconoides) , 2012, Journal of Experimental Biology.

[33]  Chen Li,et al.  A Terradynamics of Legged Locomotion on Granular Media , 2013, Science.

[34]  A. Seguin,et al.  Experimental velocity fields and forces for a cylinder penetrating into a granular medium. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.