On the motion of an ellipsoid on a rough surface with slippage

DOI10.1016/0021-8928(83)90015-1zbMath0564.73098OpenAlexW2081141706MaRDI QIDQ1058372

Anatoliy P. Markeev

Publication date: 1984

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)90015-1

zbMATH Keywords

method of averagingfirst approximation equationsfixed horizontal planegeneral geometrical properties of the motionhomogeneous, triaxial and almost spherical ellipsoidmotion with slippagequalitative and quantitative investigationrotate about its largest, vertically positioned axissimplest particular solutionssmall amount of dry frictionTwo first integrals of the averaged equations

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Free motion of a rigid body (70E15) Theories of friction (tribology) (74A55)

Related Items (4)

The stability of neutral systems in the case of a multiple fourth-order resonance ⋮ On dynamics of Jellet's egg. Asymptotic solutions revisited ⋮ Permanent rotations in nonholonomic mechanics. Omnirotational ellipsoid ⋮ On the motion of Chaplygin's sphere on a horizontal plane

Cites Work

• On the motion of a heavy homogeneous ellipsoid on a fixed horizontal plane
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