非线性振动的一个新的渐近解法

本文在渐近法的基础上，引进谐波平衡思想，得到了一个新的渐近解法。与传统方法相比，应用本文方法求渐近解，不必解微分方程和依靠消除永年项建立补充工程，而是将求解过程转化为一系列的代数运算。因此，本文解法便于手算，更有利于用计算机计算高阶近似。

A NEW ASYMPTOTIC METHOD FOR NONLINEAR OSCILLATIONS

In this paper, a new asymptotic method for solving nonlinear oscillations is obtained, by the use of the Harmonic Balance Technique. In comparison with the KBM method, this method changes the process of solution into a series of algebraic operations, instead to solve the differential equation and to establish additional equation to eliminate the secular terms. In this way, it becomes easy to compute any high order approximation by hand or by a computer.