Abstract

This paper is devoted to solving the problem of motion of a rigid body with a cylindrical surface on a plane. The plane moves according to the harmonic law in the horizontal direction. The phenomenon of vibrational translation and its nature are described. The applicability of the problem and the main weak points in its study are determined. The law of motion of a cylindrical body on a vibrating base is derived, and the algorithm for solving the problems in MatLab is developed. The graphs of velocity variation in time are plotted for different frequency values. The results are presented in the form of the frequency response.

中文翻译：

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振动平面上具有圆柱面的刚体的动力学

摘要

本文致力于解决在平面上具有圆柱表面的刚体的运动问题。平面根据谐波定律在水平方向上移动。描述了振动平移现象及其性质。确定了该问题的适用性及其研究的主要弱点。推导了圆柱体在振动基座上的运动定律，并提出了解决MatLab问题的算法。针对不同的频率值绘制了速度随时间变化的图表。结果以频率响应的形式表示。