时变动力学的Legendre级数解  

SOLUTION OF TIME-VARIATION DYNAMIC PROBLEM BY LEGENDRE POLYNOMIALS

作　　者：曹志远[1] 邹贵平[1] 唐寿高[1] 

机构地区：[1]同济大学工程力学与技术系,固体力学教育部重点实验室,上海200092

出　　处：《固体力学学报》2000年第2期102-108,共7页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金;上海市重点学科研究基金项目

摘　　要：时变动力学问题可归纳为一含时变系数微分方程组 .该文用状态空间方程 ,结合Legendre级数展开及Legendre积分算子矩阵 ,提出一种分析时变动力学系统的方法 ,给出解的一般表达式 ,从而为有效解决时变力学问题打下理论基础 。The problem of time variation dynamic systems may be induced to solve a group of differential equations with time variation coefficients. The state space approach combined with the Legendre polynomials and its operational integration matrix is employed for the analysis of time variation dynamic systems in this paper, and the generalized formulation of the solution is also given. So the basis of efficient method to solve the time variation mechanical problems is established, and is beneficial to further research of time variation science.

关 键 词：时变动力学 Legendre级数 状态空间方程 

分 类 号：O316[理学—一般力学与力学基础]