多体系统结构动力学建模  

Structural Dynamics Modeling of Multibody System

作　　者：赵强[1] 吴洪涛[1] 朱剑英[1] 

机构地区：[1]南京航空航天大学机电学院,南京210016

出　　处：《南京航空航天大学学报》2006年第4期442-446,共5页Journal of Nanjing University of Aeronautics & Astronautics

基　　金：国家自然科学基金(50375071)资助项目;江苏省自然科学基金(BK2003091)资助项目

摘　　要：在多体系统结构动力学建模方法研究中引入了柔性多体系统动力学空间算子代数和子结构综合分析方法,将多体系统划分为由铰链连接的部件或单一零件组成的子件,用有限元分析和模态分析方法求解各子件的模态广义质量矩阵和模态刚度矩阵。再通过动力学空间算子代数,将各子件模态广义质量矩阵和模态刚度矩阵递推到基础坐标下,构成整个系统的模态广义质量矩阵和模态刚度矩阵,以此建立整个多体系统结构动力学模型。同时,由于动力学空间算子代数运用了K a lm an滤波和B ryson-F raz ier平滑波技巧,在一定程度上消除了白噪声,在结构动力学运算过程中也避免了大量的重复计算,提高了数值精度。此建模方法是一种高效、高精度建模方法,它为多体系统结构动力学研究提供了一种新的建模方法。The spatial operators and substructure analysis are used to develop new structural dynamics recursive algorithms for the multibody system. Dividing the multibody system into components and parts connected by the joints, the modal generalized mass and modal generalized stiffness matrixes are solved by the finite element analysis and the modal analysis. The spatial operators of the flexible multibody system recursively transform modal mass and modal stiffness matrixes into the local coordinates for the base coordinates to model the structural dynamics of whole multibody system. Meanwhile,by introducing the Kalman filter and Bryson-Frazier smoothing, some white noises can be eliminated,many un- necessary repeat computation can be avoided, and the precision of the numerical value is obviously increased. Therefore, the high-efficient and high-precise modeling method provides a new base for the structural dynamics analysis of multibody system.

关 键 词：多体系统 有限元分析 模态分析 结构动力学 

分 类 号：O327[理学—一般力学与力学基础]