非线性参量激励系统的一种分析方法

A New Approach for Nonlinear Parametric Excitation Systems

本文提出一种分析非线性参量激励系统的新方法．这一方法基于等效小参量法原理，容易求得基波修正量和高次谐波的表达式．原理和实例表明，新方法适用于高阶非线性参量激励系统，所得结果解析性强。

A new approach,based on the principle of the ESP(Equivalent Small Parameter)method,is presented for calculation of oscillations in higher-order nonlinear parametric excitation systems.The formulation and example have shown that higher-order harmonics and corrections of first harmonic are easy to obtain.The method is applicable to high-order nonlinear parametric systems and has the advantage of the symbolic analysis.