用Mathematica构建L-P算法

The Construction of L-P Algorithm by Using Mathematica

本文以单自由度系统的Duffing方程为例,应用Mathematica构建非线性振动L-P法的符号运算,推导摄动公式,既方便又准确。此法可以方便地推广应用于构建和实现单自由度其他振动系统或多自由度非线性振动系统L-P方法。

In this paper, the Mathematica is used to construct the L-P Algorithm. As an example, the formulas of the L-P algorithm for Duffing equation are derived in detail. It is shown that to use the Mathematica symbol operation is very convenient and the results of operation are correct. This method can be generalized to other of one degree of freedom systems and multiple degree of freedom systems.