Approximation of Expressions for the Force and Moment of Force of Dry Friction


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Abstract

The dynamics of a wheel moving along a supporting surface is largely determined by friction in the area of its contact with the surface. To determine the force and the moment of the force of dry friction, a model based on the theory of contact stresses of Hertz is used. In the study of specific mechanical systems with dry friction, it is convenient to use approximations of the components of the friction force with simpler expressions. In this paper, two options are proposed for constructing approximate expressions of the components of the friction force using average function approximation.

About the authors

A. A. Zagordan

Volga-Dnepr Airlines

Email: prival@ipmnet.ru
Russian Federation, Mezhdunarodnoye sh. 28 B, Skypoint Business Park, Moscow, 141411

E. A. Privalov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Author for correspondence.
Email: prival@ipmnet.ru
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526

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