西北师范大学学报（自然科学版）2016，Vol.52Issue(4)：22-26,31,6.DOI:10.16783/j.cnki.nwnuz.2016.04.006
非线性机械系统动力分析的辛时间子域-迭代法
Symplectic time subdomain iterative method for mechanical systems with nonlinearities
摘要
Abstract
A symplectic time‐subdomain iterative method for nonlinear mechanical system is proposed in this paper . Firstly , the response of the nonlinear dynamic equation is divided into the linear part and nonlinear part in any time‐subdomain . For the linear part , symplectic time‐subdomain algorithm based on unconventional Hamilton incremental variational principle in phase space , is used to solve the linear equation . The nonlinear term is treated as load by substituting with the linear response , thus the symplectic time‐subdomain algorithm is used repeatedly until the error is satisfied . The solutions of two parts can be composed together to get the numerical results of original equation in current time‐subdomain . Then , the obtained end values are also regarded as the initial values of the next time subdomain and the iteration will be repeated until the values of the final time subdomain . Numerical example is presented to demonstrate the accuracy and the computational efficiency .关键词
非线性动力学/辛时间子域法/迭代法/变分原理/机械系统Key words
nonlinear dynamics/symplectic time subdomain algorithm/iterative method/variational principle/mechanical systems分类
数理科学引用本文复制引用
李纬华,牛喜山..非线性机械系统动力分析的辛时间子域-迭代法[J].西北师范大学学报（自然科学版）,2016,52(4):22-26,31,6.基金项目
国家自然科学基金资助项目 （）
