一自由度系统周期运动耗散稳定的可能性

IF 0.7 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2025-07-24 DOI:10.3103/S0027133025700153

V. A. Zubenko, E. I. Kugushev, T. V. Shakhova

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引用次数: 0

摘要

考虑一个允许周期运动的单自由度保守系统。该系统位于平移移动的基座上。线性粘性摩擦力加到作用在系统各点上的力上。我们确定了基底的运动规律，使初始系统相对于基底的周期运动保持不变。利用Vazhevsky不等式，得到了周期运动Lyapunov渐近稳定的条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Possibility of Dissipative Stabilization of a Periodic Motion of a System with One Degree of Freedom

A conservative system with one degree of freedom admitting a periodic motion is considered. The system is located on a translationally moving base. Linear viscous friction forces are added to the forces acting on the points of the system. We determine the law of motion of the base that allows preserving the periodic motion of the initial system relative to this base. The conditions when the periodic motion becomes Lyapunov asymptotically stable are obtained by using the Vazhevsky inequality.

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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.