强非线性系统符号分析的两种新结果

New Results of Symbolic Analysis of Strongly Nonlinear Systems

本文讨论一大类非线性系统的谐波振荡（ｈａｒｍｏｎｉｃｏｓｃｉｌｌａｔｉｏｎｓ）。文中根据等效小参量法的原理分别导出了主振荡为单谐波和双谐波的两种通用的二阶近似方程。在此基础上，介绍了一种迭代算法和一种图解法。这两种方法基于符号分析，精确度较高，适用于强非线性系统。像通常的解析法，这种迭代算法也有助于掌握非线性振荡的机理。图解法则可以用来确定多解系统的全部周期解。

An analytical method with an additional iteration procedure and a graphical approach are presented for calculation of steady-state solutions in strongly nonlinear systems.It has been shown that the iteration procedure is applicable to nonlinear systems with distortion up to HD= 0.3 or more,and the graphical approach is useful for obtaining all the solutions of a strongly nonlinear system.