MATHEMATICA在摄动法中的应用  

APPLICATION OF MATHEMATICA IN PERTURBATION METHODS

作　　者：陈海雯 林文静[2] 

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

出　　处：《振动与冲击》2005年第3期12-15,i002,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(10272117);广东省自然科学基金资助项目(011203)

摘　　要：应用MATHEMATICA符号运算,推导摄动法公式。以单自由度系统强非线性振动改进的L-P方法的公式推导为例,详细介绍MATHEMATICA符号运算,代替以往繁复的人工推导,既方便,又准确。此法可以方便地推广应用于其它摄动法或多自由度系统强非线性振动改进的L-P方法的公式推导,MATHEMATICA源程序在附录中给出。The MATHEMATICA symbol operation is applied to derive the formulas of perturbation methods. As an example, the formulas of the Modified LP method for onedegreeoffreedom system 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 derive the Modified LP method for multipledgereeoffreedom systems. The MATHEMATIC original program is given in attachment.

关 键 词：MATHEMATICA 摄动法 强非线性振动 单自由度系统 多自由度系统 符号运算 公式推导 详细介绍 推广应用 源程序 

分 类 号：O411.1[理学—理论物理] O322[理学—物理]