经典阻尼系统响应求解的分离变换辛解法  

SYMPLECTIC METHOD FOR CLASSICAL DAMPED SYSTEM RESPONSE BASED ON SEPARATIVE TRANSFORM

作　　者：徐斌[1] 欧进萍[1] 姜节胜[2] 滕军[1] 

机构地区：[1]哈尔滨工业大学深圳研究生院,深圳518055 [2]西北工业大学工程力学系,西安710072

出　　处：《机械强度》2008年第1期1-5,共5页Journal of Mechanical Strength

基　　金：国家自然科学基金(10472093);中国博士后科学基金(20060390232)资助项目~~

摘　　要：阐明经典阻尼系统响应直接辛解法的困难所在,提出一种将经典阻尼系统分离为等价的无阻尼系统,以用辛解法求解经典阻尼系统响应的方法,进一步对无阻尼系统的辛解法进行详细分析。数值算例的结果表明,所提方法有效、可行。The difficulty of Symplectic method to find the response of a classical damped system is expounded. Based on a strategy that a classical damped system may be transformed into an undamped system equivalently, a Symplectic method to get the response of the system with classical damping, with the help of Symplectic solution of undamped system, is proposed. A detailed analysis of Symplectic method for undamped system response is carried out. Results of examples show that the method proposed is efficient and feasible.

关 键 词：辛方法 响应 经典阻尼系统 

分 类 号：O302[理学—力学]