Passive Variable Compliance for Dynamic Legged Robots

Recent developments in legged robotics have found that constant stiffness passive compliant legs are an effective mechanism for enabling dynamic locomotion. In spite of its success, one of the limitations of this approach is reduced adaptability. The final leg mechanism usually performs optimally for a small range of conditions such as the desired speed, payload, and terrain. For many situations in which a small locomotion system experiences a change in any of these conditions, it is desirable to have a tunable stiffness leg for effective gait control. To date, the mechanical complexities of designing usefully robust tunable passive compliance into legs has precluded their implementation on practical running robots. In this thesis we present an overview of tunable stiffness legs, and introduce a simple leg model that captures the spatial compliance of our tunable leg. We present experimental evidence supporting the advantages of tunable stiffness legs, and implement what we believe is the first autonomous dynamic legged robot capable of automatic leg stiffness adjustment. Finally we discuss design objectives, material considerations, and manufacturing methods that lead to robust passive compliant legs. Degree Type Dissertation Degree Name Doctor of Philosophy (PhD) Graduate Group Mechanical Engineering & Applied Mechanics First Advisor Dr. Mark Yim Second Advisor Dr. Daniel E. Koditschek Third Advisor Dr. Jonathan E. Clark

[1]  J. G. Cham,et al.  Robust Dynamic Locomotion Through Feedforward-Preflex Interaction , 2000, Dynamic Systems and Control: Volume 2.

[2]  Martin Buehler,et al.  SCOUT: a simple quadruped that walks, climbs, and runs , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[3]  E. Z. Moore Leg Design and Stair Climbing Control for the RHex Robotic Hexapod , 2002 .

[4]  Daniel P. Ferris,et al.  Interaction of leg stiffness and surfaces stiffness during human hopping. , 1997, Journal of applied physiology.

[5]  Bram Vanderborght,et al.  Exploiting Natural Dynamics to Reduce Energy Consumption by Controlling the Compliance of Soft Actuators , 2006, Int. J. Robotics Res..

[6]  Juergen Rummel,et al.  Manuscript: Stable Running with Segmented Legs ¤ , 2008 .

[7]  Philip Holmes,et al.  Dynamics and stability of legged locomotion in the horizontal plane: a test case using insects , 2002, Biological Cybernetics.

[8]  Guangjun Zhang,et al.  Design as integration of axiomatic design and design structure matrix , 2009 .

[9]  T. McMahon,et al.  The mechanics of running: how does stiffness couple with speed? , 1990, Journal of biomechanics.

[10]  R. Ham,et al.  Compliant actuator designs , 2009, IEEE Robotics & Automation Magazine.

[11]  R. McN. Alexander,et al.  Three Uses for Springs in Legged Locomotion , 1990, Int. J. Robotics Res..

[12]  Bram Vanderborght,et al.  MACCEPA: the mechanically adjustable compliance and controllable equilibrium position actuator for 'controlled passive walking' , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[13]  Juergen Rummel,et al.  KNEE JOINT STIFFNESS FOR SELF-STABLE RUNNING , 2007 .

[14]  R. F. Ker,et al.  The spring in the arch of the human foot , 1987, Nature.

[15]  Kevin C. Galloway,et al.  DESIGN OF A MULTI-DIRECTIONAL VARIABLE STIFFNESS LEG FOR DYNAMIC RUNNING , 2007 .

[16]  Daniel E. Koditschek,et al.  Proprioceptive sensing for a legged robot , 2005 .

[17]  R. McN. Alexander,et al.  The mechanics of jumping by a dog (Canis familiaris) , 2009 .

[18]  Dennis A. Randolph,et al.  What Price Speed , 2000 .

[19]  Katie Byl,et al.  Metastable legged-robot locomotion , 2008 .

[20]  Daniel E. Koditschek,et al.  Automated gait adaptation for legged robots , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[21]  A. Biewener,et al.  Muscle-tendon stresses and elastic energy storage during locomotion in the horse. , 1998, Comparative biochemistry and physiology. Part B, Biochemistry & molecular biology.

[22]  Daniel E. Koditschek,et al.  A framework for the coordination of legged robot gaits , 2004, IEEE Conference on Robotics, Automation and Mechatronics, 2004..

[23]  P. Komi,et al.  Knee and ankle joint stiffness in sprint running. , 2002, Medicine and science in sports and exercise.

[24]  Jonathan E. Clark,et al.  Heterogeneous Leg Stiffness and Roll in Dynamic Running , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[25]  N. L. Hancox High performance thermoplastic resins and their composites S. Béland: Noyes Data Corporation, NY, USA 1991, ISBN-8153-1278-3, £45 , 1993 .

[26]  Martin Buehler,et al.  On the stable passive dynamics of quadrupedal running , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[27]  R. F. Ker,et al.  Why are mammalian tendons so thick , 1988 .

[28]  Jonathan E. Clark,et al.  Dynamic stability of variable stiffness running , 2009, 2009 IEEE International Conference on Robotics and Automation.

[29]  Robert N. K. Loh,et al.  Passive compliance versus active compliance in robot‐based automated assembly systems , 1998 .

[30]  Aaron M. Dollar,et al.  Design and Evaluation of a Robust Compliant Grasper Using Shape Deposition Manufacturing , 2005 .

[31]  A A Biewener,et al.  Muscle and Tendon Contributions to Force, Work, and Elastic Energy Savings: A Comparative Perspective , 2000, Exercise and sport sciences reviews.

[32]  Vijay Kumar,et al.  RoboTrikke: Design, Modeling and Experimentation With a Robotic Trikke , 2006 .

[33]  David Cebon,et al.  Materials Selection in Mechanical Design , 1992 .

[34]  S. Kawamura,et al.  Development of passive elements with variable mechanical impedance for wearable robots , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[35]  Daniel E. Whitney,et al.  PHYSICAL LIMITS TO MODULARITY , 2002 .

[36]  Jessica K. Hodgins,et al.  Dynamically Stable Legged Locomotion , 1983 .

[37]  Garth Zeglin,et al.  The bow leg hopping robot , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[38]  C. T. Farley,et al.  Running springs: speed and animal size. , 1993, The Journal of experimental biology.

[39]  Joel E. Chestnutt,et al.  An actuator with physically variable stiffness for highly dynamic legged locomotion , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[40]  T. Roberts The integrated function of muscles and tendons during locomotion. , 2002, Comparative biochemistry and physiology. Part A, Molecular & integrative physiology.

[41]  Shigeki Sugano,et al.  Design and development of a new robot joint using a mechanical impedance adjuster , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[42]  Martin Buehler,et al.  Stable running in a quadruped robot with compliant legs , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[43]  Hiroshi Kimura,et al.  Rush: A simple and autonomous quadruped running robot , 2009 .

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

[45]  T. A. McMahon,et al.  Mechanics of Locomotion , 1984, Muscles, Reflexes, and Locomotion.

[46]  Daniel P. Ferris,et al.  Running in the real world: adjusting leg stiffness for different surfaces , 1998, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[47]  R. Blickhan,et al.  Similarity in multilegged locomotion: Bouncing like a monopode , 1993, Journal of Comparative Physiology A.

[48]  C. T. Farley,et al.  Hopping frequency in humans: a test of how springs set stride frequency in bouncing gaits. , 1991, Journal of applied physiology.

[49]  R. McNeill Alexander,et al.  Principles of Animal Locomotion , 2002 .

[50]  Martin Buehler,et al.  The ARL monopod II running robot: control and energetics , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[51]  박용재,et al.  Shape Deposition Manufacturing 을 이용한 로봇 물고기 구동부 설계 및 제작 , 2009 .

[52]  Time-Life Books,et al.  WALKING AND RUNNING. , 1885, Science.

[53]  R. Full,et al.  Passive mechanical properties of legs from running insects , 2006, Journal of Experimental Biology.

[54]  Robert J. Full,et al.  Musculoskeletal Dynamics in Rhythmic Systems: A Comparative Approach to Legged Locomotion , 2000 .

[55]  Sanford G. Meek,et al.  Stability of a trotting quadruped robot with passive, underactuated legs , 2008, 2008 IEEE International Conference on Robotics and Automation.

[56]  D. Herring,et al.  Adjustable Robotic Tendon using a ‘ Jack Spring ’ TM , 2005 .

[57]  Kevin C. Galloway,et al.  DESIGN OF A TUNABLE STIFFNESS COMPOSITE LEG FOR DYNAMIC LOCOMOTION , 2009 .

[58]  Marc H. Raibert,et al.  Legged Robots That Balance , 1986, IEEE Expert.

[59]  Jonathan W. Hurst,et al.  The role and implementation of compliance in legged locomotion , 2008 .

[60]  Martin Buehler,et al.  Design, control, and energetics of an electrically actuated legged robot , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[61]  Steve Caplin,et al.  Principles Of Design , 2011 .

[62]  Martin Buehler,et al.  Reliable stair climbing in the simple hexapod 'RHex' , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[63]  Reinhard Blickhan,et al.  A movement criterion for running. , 2002, Journal of biomechanics.

[64]  Yoshihiko Nakamura,et al.  Design of active/passive hybrid compliance in the frequency domain-shaping dynamic compliance of humanoid shoulder mechanism , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[65]  Daniel E. Koditschek,et al.  Dynamic locomotion with four and six-legged robots , 2000 .

[66]  H. Benjamin Brown,et al.  c ○ 2001 Kluwer Academic Publishers. Manufactured in The Netherlands. RHex: A Biologically Inspired Hexapod Runner ∗ , 2022 .

[67]  Susanne W. Lipfert,et al.  Effective leg stiffness in running. , 2009, Journal of biomechanics.

[68]  A. Arampatzis,et al.  The effect of speed on leg stiffness and joint kinetics in human running. , 1999, Journal of biomechanics.