分形级数摄动法在振动问题中的应用

用戴劳级数的推广——分形级数代替原有摄动方法中的戴劳级数 ,并讨论分形级数摄动法解振动问题的一般原则。在本文实例中 ,小参数项ε和ε2 分别变为ε1.0 4 8389和ε2 .2 2 30 77。在求解分形级数的指数时可应用加权残值法 ,如最小二乘法。

Application of Fractal Series Perturbation Method in Vibration Problem

By using the fractal series,i.e.,the expanded form of Taylorseries,the Taylor series in the existing perturbation method is substituted,and the general principle for solving vibration problem by using the fractal series perturbation method is discussed.In the example given in this paper,the small parameter terms ε and ε2 are substituted by ε1.048389 and ε2.223077separately .As solving the index of fractal series,the weighted residuals method such as LSM can be used.