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
重庆交通大学学报（自然科学版）

重庆交通大学学报（自然科学版） ›› 2001, Vol. ›› Issue (4): 115-118.

• • 上一篇    下一篇

两类弱非线性振动问题的新解法

袁雪辉1,鲍建文2,袁镒吾3   

  1. 1.广东珠海市建筑工程质检站 广东珠海519000;2.江西赣州公路分局 江西赣州341000;3.中南大学建工系 湖南长沙410083
  • 收稿日期:2001-12-02 出版日期:2001-12-20 发布日期:2016-07-12

A new method of solving two classes problems of weakly nonlinear oscillation

YUAN Xue hui1,BAO Jian wen2,YUAN Yi wu3   

  1. 1.Zhuhai Verification Station of Quality of Building Engineering,Guangdong Zhuhai 519000,China; 2.Jiangxi Highway Management Office,Ganzhou Bureau, Ganzhou 314000,Jiangxi China; 3.Central South U
  • Received:2001-12-02 Online:2001-12-20 Published:2016-07-12

摘要： 用插值摄动法[1] 求解两类弱非线性振动问题 .其一是保守系统的非线性自由振动 ;其二是参数振动 .前者由于把求解微分方程的问题转化成为求解二次代数方程 ,计算过程十分简单 ;后者由于把一个二阶微分方程的求解转化成为两次积分问题 ,也使计算过程简化 .有算例、算例表明 ,本文结果是可靠的

关键词: 插值摄动法, 参数激励, 保守系统, 非线性, 自由振动, 多尺度法

Abstract: In this paper,using the interpolation perturbation method,the authors seek to solve two classes of weakly nonlinear oscillations.The one is the nonlinear free oscillation of conservative system.The other is the parametric oscillation.For the former,since we transform the problem to solve differentiation into that to solve algebraic equation,the calculating process is very simple.For the latter,since we transform the problem to seek to solve the second order differential equation into that of twice integrations,the calculating process is also simple.There are calculating examples which show that the results of the paper is reliable.

中图分类号: