Dynamics and stability of a rimless spoked wheel: a simple 2D system with impacts

DOI10.1080/14689360903429238zbMath1379.70028OpenAlexW2000800468MaRDI QIDQ3580097

M. J. Coleman

Publication date: 11 August 2010

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360903429238

zbMATH Keywords

stabilityfixed pointsbifurcationrigid bodyimpactsbasins of attraction

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Stability problems in rigid body dynamics (70E50) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (5)

Painlevé's paradox and dynamic jamming in simple models of passive dynamic walking ⋮ Generating 1-DOF limit cycle walking at target walking speed by feed-forward and feedback limit cycle control ⋮ Rules of nature's \textit{Formula Run}: muscle mechanics during late stance is the key to explaining maximum running speed ⋮ Fully analytical solution to discrete behavior of hybrid zero dynamics in limit cycle walking with constraint on impact posture ⋮ Dynamic Bipedal Walking under Stick-Slip Transitions

Cites Work

• Nonholonomic stability aspects of piecewise holonomic systems
• Motions and stability of a piecewise holonomic system: The discrete Chaplygin sleigh
• Motions of a rimless spoked wheel: a simple three-dimensional system with impacts
• Efficiency, speed, and scaling of two-dimensional passive-dynamic walking
• Small slope implies low speed for McGeer's passive walking machines
• 3D passive walkers: Finding periodic gaits in the presence of discontinuities

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