On the motion of Chaplygin's sphere on a horizontal plane
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Publication:1067418
DOI10.1016/0021-8928(83)90108-9zbMath0579.70002OpenAlexW2094969538MaRDI QIDQ1067418
Publication date: 1983
Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8928(83)90108-9
perturbation methoddry frictionslip velocityaveraging methodEuler-Poinsot motionheavy sphere on a fixed horizontal planelow viscous friction
Free motion of a rigid body (70E15) Nonholonomic systems related to the dynamics of a system of particles (70F25) Perturbation methods for rigid body dynamics (70E20)
Related Items
The stability of neutral systems in the case of a multiple fourth-order resonance ⋮ How to control the Chaplygin ball using rotors. II ⋮ Two nonholonomic chaotic systems. II: On the rolling of a nonholonomic bundle of two bodies ⋮ The dynamical model of the rolling friction of spherical bodies on a plane without slipping ⋮ Dynamics of the Chaplygin Ball with Variable Parameters ⋮ Dynamics of the Chaplygin sphere with additional constraint
Cites Work
- On the motion of a heavy homogeneous ellipsoid on a fixed horizontal plane
- On the motion of an ellipsoid on a rough surface with slippage
- Perturbed motions of a rigid body, close to the Lagrange case
- Passage through a separatrix in a resonance problem with a slowly-varying parameter
- On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
- On the motion of a satellite about its center of mass under the action of gravitational moments
- Motion of a rigid body with cavities filled with viscous fluid at small Reynolds numbers
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