An Analytical Solution of the Equations of a Rolling Disk of Finite Thickness on a Rough Plane

Milan Batista

doi:10.1016/j.ijnonlinmec.2006.06.002

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An Analytical Solution of the Equations of a Rolling Disk of Finite Thickness on a Rough Plane

Milan Batista

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Abstract

In this article an analytical solution of equations of motion of a rigid disk of finite thickness rolling on its edge on a perfectly rough horizontal plane under the action of gravity is given. The solution is given in terms of Gauss hypergeometrical functions.

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Milan Batista. 2005-09-05. An Analytical Solution of the Equations of a Rolling Disk of Finite Thickness on a Rough Plane. https://doi.org/10.1016/j.ijnonlinmec.2006.06.002

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