摘要
作者在文[1] 中提出了非线性振动的渐近积分法,但仅用于求定常周期解.本文将其推广到求非定常解情况,导出相应的积分方程,并应用于实例.该方法不仅用于弱非线性系统,且可解决强非线性系统问题.
In article[1] ,a method of asymptotic integral of a nonlinearvibration is suggested,but it can only determine the steady-stateperiodic solution.In this paper,this method is extended to findthe nonsteady-stat solution of a non-linear vibration,with theintegral equations correspondinge to nonsteady-state solutiondeduced,and examples given.This method can be applied notonly to weakly nonlinear systems but also to strongly nonlinearones
出处
《长沙铁道学院学报》
CSCD
1990年第3期57-63,共7页
Journal of Changsha Railway University
关键词
渐近解
周期函数
非线性振动
asymptotic solufion
periodic function
strongly nonlinear system
