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求解二阶非线性振动系统响应的一种近似方法
引用本文:李成英. 求解二阶非线性振动系统响应的一种近似方法[J]. 辽宁工学院学报, 1994, 14(2): 28-31
作者姓名:李成英
摘    要:应用参数变分法建立了二阶非线性振动系统的振幅、相位的微分方程,然后利用特种球多项式将其展开,求得近似解,并与其它方法进行了比较。

关 键 词:振动;球多项式;加权正交系

A Kind of Approximation of Solving Two order Non linear Vibration System Response
Li Chengying. A Kind of Approximation of Solving Two order Non linear Vibration System Response[J]. Journal of Liaoning Institute of Technology(Natural Science Edition), 1994, 14(2): 28-31
Authors:Li Chengying
Affiliation:Li Chengying
Abstract:By means of the parametric variational method, the differential equations of amplitude and phase of a two order non linear vibration system are established. The equations are then expanded with a special sphere polynomial as to obtain the approximate solutions, which are compared with others.
Keywords:vibration  sphere polynomial  weighting orthometric system  
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