中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊

Journal of Chongqing Jiaotong University(Natural Science) ›› 2004, Vol. 23 ›› Issue (6): 128-131.

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Solving strongly nonlinear oscillation problem of conservative system by using linearization and interpolation perturbation Methods

YUAN Yi-wu   

  1. Central South University, Changsha 410083, China
  • Received:2003-12-24 Online:2004-12-15 Published:2015-05-18

线化及插值摄动法求解强非线 性保守系统振动问题

袁镒吾   

  1. 中南大学,湖南长沙410083
  • 作者简介:袁镒吾(1929—),男,湖南隆回人,教授,主要从事振动及边界层等研究工作。

Abstract: In this paper, using the linearization and the interpolation methods, the author seeks to solve a class of problems of the strongly nonlinear oscillations of the conservative systems. The accuracy of this method is quite well and is better than that of the improved L-P method

Key words: interpolation perturbation method, linearization perturbation method, strong nonlinearity, oscillation, conservative system, method of weighted residuals (MWR)

摘要: 用插值摄动法和线化摄动法相结合的方法求解了一类保守系统的强非线性振动问题,有较好的精度,并 优于改进的L-P法。

关键词: 插值摄动法, 线化摄动法, 强非线性, 振动, 保守系统, 权残法

CLC Number: