On rolling of a heavy disk on a surface of revolution with negative curvature

DOI10.3103/S0025654419050182zbMath1479.70040OpenAlexW3005205700MaRDI QIDQ2226224

A. S. Sumbatov

Publication date: 11 February 2021

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0025654419050182

zbMATH Keywords

stabilityenergy dissipationsurface of revolutionGaussian curvaturestationary motionsnonholonomic model

Mathematics Subject Classification ID

Problems involving a system of particles with friction (70F40) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (1)

On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution

Cites Work

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• Dynamics of a rolling and sliding disk in a plane. Asymptotic solutions, stability and numerical simulations
• The Lagrange-D'Alembert-Poincaré equations and integrability for the Euler's disk
• Steady motion of a rigid disk of finite thickness on a horizontal plane
• 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

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