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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015 Number 1, Pages 45–50 (Mi vmumm207)

This article is cited in 1 paper

Mechanics

Force interaction simulation for the motion of a spherical segment on a spherical surface with friction

A. A. Zhulidova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The problem of motion of a spherical segment on the inner surface of a hemisphere with dry friction is studied. A number of expressions for the pressure density coefficients are obtained in the case when this density depends linearly on coordinates. These coefficients are determined for the special cases of sliding or rotation and are used to derive expressions for forces and moments.

Key words: spherical surface, dry friction, pressure density as a linear function of coordinates.

UDC: 531.36

Received: 25.09.2013


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2015, 70:1, 13–18

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