基于添项技术的修正L-P摄动法

A Modified L-P Perturbation Method Based on Adding Term Technique

提出两种基于添项技术的修正Lindstedt-Poincaré（L-P）方法,与已有添加线性项方法进行比较可知：对于奇的强非线性振动系统,新提出的添项技术能够建立更高精度的解析逼近周期.数值例子验证了结论的正确性.

Two modified Lindstedt-Poincaré（L-P） perturbation method based on adding term technique are presented firstly,and then the comparison between them are completed.For the odd strongly nonlinear oscillation systems,the new method is better than others.The numerical example confirms that the conclusion presented in this paper is corrected.