求解一类非线性振动问题的谐波平衡法

重庆交通大学学报（自然科学版） ›› 1998, Vol. 17 ›› Issue (4): 85-86.

求解一类非线性振动问题的谐波平衡法

袁镒吾¹, 许锴²

1. 中南工业大学, 长沙 410083; 2. 广东珠海市建筑工程质检站, 519000

收稿日期:1998-03-16 修回日期:1998-04-16 出版日期:1998-12-20 发布日期:2016-07-13
作者简介:袁镒吾(1929-), 男, 教授

Harmonic Balance Method for Solving a Class of Non-linear Oscil lation Problems

Yuan Yiwu¹, Xu Kai²

1. Central South University of Technology, Changsha 410083, P.R.China; 2. Chuhai Verification Station of Quality of Building Engineering, Zhuhai 519000, P.R.China

Received:1998-03-16 Revised:1998-04-16 Online:1998-12-20 Published:2016-07-13

摘要/Abstract

摘要： 用谐波平衡法求解一类在参数激励及强迫激励共同作用下的非线性振动问题. 只涉及求解非线性代数方程, 不必求解微分方程. 文[1]所研究的问题, 只是本文的一个特殊情况.

关键词: 谐波平衡法, 参数激励, 强迫振动

Abstract: In this paper, using the harmonic balance method, the author seeks to solve the problems for a class of nonlinear oscillations which subject to parameter and forced excitation. We only relate to seek to solve the nonlinear algebraic equations, a need not seeking to solve any differential equation. The problem studied in Ref.[1] is only the special case of this paper.

Key words: harmonic balance method, parameter excitation, forced oscillation

中图分类号:

O322

袁镒吾, 许锴. 求解一类非线性振动问题的谐波平衡法[J]. 重庆交通大学学报（自然科学版）, 1998, 17(4): 85-86.

Yuan Yiwu, Xu Kai. Harmonic Balance Method for Solving a Class of Non-linear Oscil lation Problems[J]. Journal of Chongqing Jiaotong University(Natural Science), 1998, 17(4): 85-86.