非线性振动系统主振型的一种求解方法及稳定性判定

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A Method of Finding the Principal Modes of Nonlinear Vibration Systems and Their Stabilities

摘要: 本文提出了一种求解非线性振动系统主振型的新方法,将求解非线性系统主振型的问题化为求解一系列代数方程组的问题。该方法适用于各种多自由度非线性振动系统,计算比较简单。文中还给出了一种判定非线性系统主振型稳定性的方法。

Abstract: This paper presents a new method of finding the principal modes of nonlinear vibration systems,by means of which the problem of finding principal modes of nonlinear systems is transferred to the problem of finding real roots of a set of algebraic equations.The method is applicable to various kinds of nonlinear vibration systems with many degrees of freedom,and is simple in calculation.The paper presents another new method of analyzing the stabilities of principal modes of nonlinear systems.

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