Three-dimensional translational dynamics and stability of multi-legged runners

International Journal of Robotics Research

Volumn 25, Issue 9, 2006, Pages 889-902

  Seipel, Justin ^a   Holmes, Philip ^a  

^a Princeton University   (United States)

Author keywords

Legged locomotion; Multiple legs; Periodic gait; Poincar map; Spring loaded inverted pendulum; Stability; Three dimensional motion

Indexed keywords

BIODIVERSITY; BIPED LOCOMOTION; DEGREES OF FREEDOM (MECHANICS); GAIT ANALYSIS; MOTION CONTROL; PENDULUMS; ROBOTS; SPRINGS (COMPONENTS); STABILITY; THREE DIMENSIONAL;

LEGGED LOCOMOTION; MULTIPLE LEGS; PERIODIC GAIT; POINCARÉ MAP; SPRING LOADED INVERTED PENDULUM (SLIP); THREE-DIMENSIONAL MOTION;

WALKING AIDS;

EID: 33747620892     PISSN: 02783649     EISSN: 17413176     Source Type: Journal    
DOI: 10.1177/0278364906069045     Document Type: Article

References (27)

1. Alexander, R. McN. 1988. Elastic Mechanisms in Animal Movement. Cambridge, UK: Cambridge University Press.
2. Alexander, R. McN. 2003. Principles of Animal Locomotion. Princeton, NJ: Princeton University Press.
3. Altendorfer, R., Saranli, U., Komsuoglu, H., Koditschek, D. E., Brown, B., Buehler, M., Moore, E., McMordie, D., and Full, R. J. 2002. Evidence for spring loaded inverted pendulum running in a hexapod robot, Experimental Robotics VII, pp. 291-302. Springer Verlag.
4. Back, A., Guckenheimer, J., and Myers, M. 1993. A Dynamical Simulation Facility for Hybrid Systems, Notes in Computer Science, Vol. 736, pp. 255-267. Berlin: Springer-Verlag.
5. Beer, F. P. and Johnson, Jr., E. R. 1979. Mechanics of Materials. New York: McGraw-Hill.
6. Blickhan, R. 1989. The spring-mass model for running and hopping. J. Biomechanics 22: 1217-1227.
7. Blickhan, R. and Full, R. J. 1993. Similarity in multi-legged locomotion: bouncing like a monopode. J. Comp. Physiol. A 173: 509-517.
8. Carver, S. 2003. Control of a spring mass hopper. PhD thesis, Cornell University.
9. Cavagna, G. A., Heglund, N. C., and Taylor, C. R. 1977. Mechanical work in terrestrial locomotion: two basic mechanisms for minimizing energy expenditure. Am. J. Physiol. 233 (5). R243 - R261.
10. Full, R. J., Blickhan, R., and Ting, L. H. 1991. Leg design in hexpedal runners. J. Exp. Biology 158: 369-390.
11. Full, R. J. and Koditschek, D. E. 1999. Templates and anchors: neuromechanical hypotheses of legged locomotion on land. J. Exp. Biology 202: 3325-3332.
12. Full, R. J., Seipel, J., and Holmes, P. 2004. American Zoologist - Abstracts.
13. Geyer, H., Seyfarth, A., and Blickhan, R. 2005 Spring mass running: simple approximate solution and application to gait stability. J. Theor. Biol. 232: 315-328.
14. Ghigliazza, R. M., Altendorfer, R., Holmes, P., and Koditschek, D. 2003. A simply stabilized running model. SIAM J. Applied Dynamical Systems 2: 187-218.
15. Guckenheimer, J. and Holmes, P. 1990. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag.
16. Holmes, P., Full, R. J., Koditschek, D., Guckenheimer, J. 2006. The dynamics of legged locomotion: Models, analyses and challenges. SIAM Review 48 (2). 207-304.
17. Jayes, A. S. and Alexander, R. McN. 1978 Mechanics of locomotion of dogs (Canis familiaris) and sheep (Ovis aries). J. Zool. London 185: 289-308.
18. Koditschek, D. E., Full, R. J., and Buehler, M. 2004. Mechanical aspects of legged locomotion control. Arthropod Structure and Development 33 (3). 251-272.
19. Poulakakis, I., Smith, J. A., and Buehler, M. 2005. Modeling and experiments of untethered quadrupedal running with a bounding gait: The Scout II robot. Int. J. Robotics Res. 24 (2). 239-256.
20. Raibert, M. 1986. Legged Robots that Balance. Cambridge, MA: MIT Press.
21. Saranli, U., Buehler, M., and Koditschek, D. E. 2001. RHex: A simple and highly mobile hexapod robot. Int. J. Robotics Research 20 (7). 616-631.
22. Schmitt, J., Garcia, M., and Razo, R. C., Holmes, P., and Full, R. J. 2002. Dynamics and stability of legged locomotion in the horizontal plane: A test case using insects. Biological Cybernetics 86 (5). 343-353.
23. Seipel, J. 2005. The stability of point-mass hoppers with varying morphology and minimal feedback. Robotics: Science and Systems I, S. Thrun, G. S. Sukhatme, and S. Schaal, editors, pp. 305-310, MIT Press.
24. Seipel, J. and Holmes, P. 2005a. Three-dimensional running is unstable but easily stabilized. Climbing and Walking Robots: Proceedings of the 7th International Conference CLAWAR 2004, M. A. Armada and P. González de Santos, editors, pp. 585-592. Berlin: Springer Verlag.
25. Seipel, J. and Holmes, P. 2005b. Running in three dimensions: Analysis of a point-mass sprung-leg model. Int. J. Robotics Research 24 (8). 657-674.
26. Seipel, J., Holmes, P., and Full, R. J. 2004. Dynamics and stability of insect locomotion: A hexapedal model for horizontal plane motions. Biol. Cybern. 91: 76-90.
27. Seyfarth, A., Geyer, H., Günther, M., and Blickhan, R. 2002. A movement criterion for running. J. Biomech. 35: 649-655.