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The Rolling

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Invariant Integrals in Physics

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Abstract

During two hundred years, the Coulomb’s coefficient of rolling friction and the force of resistance to rolling were being determined experimentally in expensive natural tests. In this Chapter, using the invariant integral of rolling and new exact solutions of the contact problems of the theory of elasticity, Coulomb’s rolling friction coefficient and the resistance force were calculated in all basic cases, including the rolling of: (i) an elastic cylinder on an elastic half-space of another material, or on an elastic plate, or on a sticky membrane; (ii) a ball on an elastic half-space, or an elastic plate, or on a membrane; and (iii) a torus on an elastic half-space, or on an elastic plate, or on a membrane. The theoretical results comply very well with known test probes. This Chapter is a “must-to-know” for automotive engineers.

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Authors and Affiliations

  1. Miami, FL, USA

    Genady P. Cherepanov

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  1. Genady P. Cherepanov
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Correspondence to Genady P. Cherepanov .

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Cherepanov, G.P. (2019). The Rolling. In: Invariant Integrals in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-28337-7_3

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