Continuous rolling motion of a disk on a vibrating plate

DOI10.1007/s11071-020-05664-wzbMath1516.70004OpenAlexW3024373332MaRDI QIDQ6166286

Hiroshi Takano, Satoshi Takatori, Takatoshi Ichino

Publication date: 2 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05664-w

zbMATH Keywords

numerical simulationEuler's diskvibrating platecontinuous rolling motion

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Kinematics of a rigid body (70B10) Motion of a rigid body in contact with a solid surface (70E18)

Cites Work

• A set-valued force law for spatial Coulomb--Contensou friction.
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• Approximate modelling of resulting dry friction forces and rolling resistance for elliptic contact shape
• The ringing of Euler's disk
• Experimental and theoretical investigation of the energy dissipation of a rolling disk during its final stage of motion
• Dynamics of a rolling disk in the presence of dry friction
• Rolling friction and energy dissipation in a spinning disc
• Nonlinear oscillations in the rolling motion of Euler's disk