The nearly horizontally rolling of a thick disk on a rough plane

DOI10.1134/S1560354708040084zbMath1229.70014OpenAlexW1976118059MaRDI QIDQ652976

Juan-Miguel Gracia

Publication date: 6 January 2012

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

Full work available at URL: https://doi.org/10.1134/s1560354708040084

zbMATH Keywords

nonholonomic mechanicsdisk rolling

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Motion of a rigid body in contact with a solid surface (70E18) Lagrange's equations (70H03)

Related Items (5)

The rolling motion of a truncated ball without slipping and spinning on a plane ⋮ Investigation of the motion of a heavy body of revolution on a perfectly rough plane by the Kovacic algorithm ⋮ The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution ⋮ An invariant measure and the probability of a fall in the problem of an inhomogeneous disk rolling on a plane ⋮ Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges

Cites Work

• Unnamed Item
• Self-induced jumping of a rigid body of revolution on a smooth horizontal surface
• Steady motion of a rigid disk of finite thickness on a horizontal plane
• Integrability of the motion of a rolling disk of finite thickness on a rough plane
• Dynamics of rolling disk
• Nearly flat falling motions of the rolling disk

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