On the Motion of the Chaplygin Sleigh Along a Horizontal Plane with Friction in the Asymmetric Case

DOI10.20537/nd220207zbMath1529.70007OpenAlexW4285292090MaRDI QIDQ6054827

A. Yu. Shamin

Publication date: 28 September 2023

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd790

zbMATH Keywords

Coulomb frictionsmall parameterphase portraitequilibrium pointnormal reaction

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Problems involving a system of particles with friction (70F40) Perturbation methods for rigid body dynamics (70E20) Motion of a rigid body in contact with a solid surface (70E18)

Cites Work

• The motion of a body supported at three points on a rough plane
• On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
• The integration of equations of motion of a body with three supports on a rough plane
• Dynamics and bifurcations of non-smooth mechanical systems
• Nonsmooth mechanics. Models, dynamics and control.
• Dynamics of the Chaplygin sleigh on a horizontal plane with friction
• On motion of Chaplygin sleigh on a horizontal plane with dry friction
• Dynamics of a body sliding on a rough plane and supported at three points
• On the Motion of the Chaplygin Sleigh on a Horizontal Plane with Dry Friction at Three Points of Contact
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