Limit Equations of Motion for Mechanical Systems with Vibrating Elements

A. A. Markeeva; M. A. Levin

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Limit Equations of Motion for Mechanical Systems with Vibrating Elements

机译：带振动元件的机械系统的运动极限方程

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Mechanical systems with vibrating elements are studied. A method of finding the limit equations for such systems is proposed when the oscillation frequency tends to infinity. A mechanical system with an arbitrary number of degrees of freedom is considered. This system is subject to rapid periodic vibrations with zero mean. Its motion can be described by second-order equations. An explicit form of limit equations of motion is obtained as a system of first-order differential equations.

机译：研究了带有振动元件的机械系统。提出了一种在振荡频率趋于无穷大时找到此类系统极限方程的方法。考虑具有任意数量的自由度的机械系统。该系统会受到零周期快速周期性振动的影响。它的运动可以用二阶方程来描述。作为一阶微分方程组，可以得到运动极限方程的显式形式。

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《Moscow University Mechanics Bulletin》 |2015年第5期|112-121|共10页
作者
A. A. Markeeva; M. A. Levin;
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Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119899, Russia;

Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119899, Russia;

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Limit Equations of Motion for Mechanical Systems with Vibrating Elements

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