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.

中文翻译：

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干摩擦力和力矩的表达式近似

沿支撑表面移动的车轮的动力学很大程度上取决于其与表面接触区域的摩擦。为了确定干摩擦的力和力矩，使用了基于赫兹接触应力理论的模型。在研究具有干摩擦的特定机械系统时，使用具有更简单表达式的摩擦力分量的近似值很方便。在本文中，提出了两种选择来使用平均函数逼近来构造摩擦力分量的近似表达式。