用Mathematica构建L-P算法  

The Construction of L-P Algorithm by Using Mathematica

作　　者：陈海雯 申深[2] 林文静[3] 

机构地区：[1]广发证券股份有限公司信息技术部,广州510600 [2]广东省地方税务局,广州510630 [3]中山大学应用力学与工程系,广州510275

出　　处：《现代计算机》2004年第5期78-79,99,共3页Modern Computer

基　　金：广东省自然科学基金资助项目(011203)

摘　　要：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.

关 键 词：MATHEMATICA L-P算法 非线性振动 符号运算 摄动法 

分 类 号：TP311.1[自动化与计算机技术—计算机软件与理论]