Abstract—
The problem of the dynamics of a rigid body in the form of a parallelepiped on a plane in the presence of two-dimensional dry friction (generalized model of dry friction Coulomb-Contensou [1]) is considered. Since in this model of friction there are no discontinuities of the first kind in velocity, the problem is mathematically simpler than problems with one-dimensional (according to Coulomb) dry friction. In this example, increasing the dimensions leads to the regularization of the problem.
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REFERENCES
V. Ph. Zhuravlev, “On the dry frictions model in the rigid body dynamics problems,” Uspekhi Mekh., No. 3, 157–168 (2005).
V. V. Andronov and V. Ph. Zhuravlev, Dry Friction in Problems of Mechanics (NITz “Regular and Chaotic Dynamics,” Moscow–Izhevsk, 2010) [in Russian].
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The study was supported by a grant from the Russian Science Foundation (project no. АААА-А20-120011).
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Translated by M. K. Katuev
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Zhuravlev, V.P. Flat Dynamics of a Homogeneous Parallelepiped with Dry Friction. Mech. Solids 56, 1–3 (2021). https://doi.org/10.3103/S0025654421010131
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DOI: https://doi.org/10.3103/S0025654421010131