摘要
在黎曼位形空间中研究了约束多体系统的动力学问题．通过对约束矩阵的奇异值分解和修正的ＧｒａｍＳｃｈｍｉｄｔ过程构造了系统流形的法向和切向子空间的正交归一化基，将系统的动力学方程沿这双基进行投影，得到了求系统动力学响应的新型公式，给出了其数值分析的一种方法，并举了算例．
The dynamic problem of constrained multibody systems in Riemannian configuration space is researched. The orthonormal bases of normal subspace and tangent subspace of the system manifold are constructed adopting the singular value decomposition of the constraint matrix and a modified Gram-Schmidt process. The dynamic equations of the system are projected along the dual bases, and new formulas of the system dynamic response are obtained. A numerical analysis method is also given. A numerical example is presented.
出处
《力学学报》
EI
CSCD
北大核心
1997年第6期755-760,共6页
Chinese Journal of Theoretical and Applied Mechanics
关键词
动力学
多体系统
黎曼位形空间
投影方程
dynamics, multibody system, Riemannian configuration space, projection equation, numerical analysis
