Qualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edges

DOI10.1134/S1560354719020072zbMath1423.70013OpenAlexW2939479199WikidataQ128114887 ScholiaQ128114887MaRDI QIDQ2330022

Alexander A. Kilin, Elena N. Pivovarova

Publication date: 18 October 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354719020072

zbMATH Keywords

bifurcation diagramresonanceintegrable systemquadraturewheelnonholonomic constraintbody of revolutionpermanent rotationsunbounded motionsharp edgesystem with discontinuitydynamics in a fixed reference framerubber body model

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx)

Related Items (3)

Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass ⋮ Dynamics of rubber Chaplygin sphere under periodic control ⋮ Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem

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