干摩擦力作用下两接触气缸运动的研究

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2023-06-22 DOI:10.3103/S0027133023020036

E. E. Borisenko

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引用次数: 0

摘要

本文研究了在干摩擦条件下两个接触气缸的运动。利用菲利波夫的不连续微分方程理论研究常微分方程组。证明了解的正向唯一性，绘制了相图，并研究了相图的分岔问题。这些结果允许描述给定机械系统的运动，特别是抓挠和永久旋转的条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On the Motion of Two Contacting Cylinders Interacting through Dry Friction Force

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On the Motion of Two Contacting Cylinders Interacting through Dry Friction Force

This paper concerned with the motion of two contacting cylinders with dry friction between them. Filippov’s theory of discontinuous differential equations is used to study the system of ordinary differential equations. The forward uniqueness of the solution is proven, the phase portrait is drawn, and its bifurcation is investigated. These results allow describing the motions of the given mechanical system, in particular, the conditions of seizing and permanent rotation.

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来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.