The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution

DOI10.1137/23M1551031arXiv2302.08335MaRDI QIDQ6187523

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Publication date: 15 January 2024

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.08335

zbMATH Keywords

circular motionmatched asymptotic expansionFrobenius solutionfriction coefficient lower boundpetaloid motion

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Problems involving a system of particles with friction (70F40) Motion of a rigid body in contact with a solid surface (70E18)

Cites Work

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• Dynamics of a rolling and sliding disk in a plane. Asymptotic solutions, stability and numerical simulations
• The nearly horizontally rolling of a thick disk on a rough plane
• Integrability of the motion of a rolling disk of finite thickness on a rough plane
• A disk rolling on a horizontal surface without slip.
• Dynamics of rolling disk
• Dynamical cosmological constant from a very recent phase transition
• Chaos in a soda can: non-periodic rocking of upright cylinders with sensitive dependence on initial conditions
• Experimental and theoretical investigation of the energy dissipation of a rolling disk during its final stage of motion
• Nearly flat falling motions of the rolling disk
• Dynamics of a rolling disk in the presence of dry friction
• Rolling friction and energy dissipation in a spinning disc
• Numerical evaluation of the Gauss hypergeometric function by power summations

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