Discrete time transfer matrix method for dynamics of multibody system with flexible beams moving in space  

作　　者：Xiao-Ting Rui Edwin Kreuzer Bao Rong Bin He 

机构地区：[1]Institute of Launch Dynamics,Nanjing University of Science&Technology,210094 Nanjing,China [2]Mechanics and Ocean Enginnering of Hamburg University of Technology,Hamburg,Germany

出　　处：《Acta Mechanica Sinica》2012年第2期490-504,共15页力学学报（英文版）

基　　金：supported by the Natural Science Foundation of China Government (10902051);the Natural Science Foundation of Jiangsu Province (BK2008046);the German Science Foundation

摘　　要：In this paper, by defining new state vectors and developing new transfer matrices of various elements mov- ing in space, the discrete time transfer matrix method of multi-rigid-flexible-body system is expanded to study the dynamics of multibody system with flexible beams moving in space. Formulations and numerical example of a rigid- flexible-body three pendulums system moving in space are given to validate the method. Using the new method to study the dynamics of multi-rigid-flexible-body system mov- ing in space, the global dynamics equations of system are not needed, the orders of involved matrices of the system are very low and the computational speed is high, irrespec- tive of the size of the system. The new method is simple, straightforward, practical, and provides a powerful tool for multi-rigid-flexible-body system dynamics.In this paper, by defining new state vectors and developing new transfer matrices of various elements mov- ing in space, the discrete time transfer matrix method of multi-rigid-flexible-body system is expanded to study the dynamics of multibody system with flexible beams moving in space. Formulations and numerical example of a rigid- flexible-body three pendulums system moving in space are given to validate the method. Using the new method to study the dynamics of multi-rigid-flexible-body system mov- ing in space, the global dynamics equations of system are not needed, the orders of involved matrices of the system are very low and the computational speed is high, irrespec- tive of the size of the system. The new method is simple, straightforward, practical, and provides a powerful tool for multi-rigid-flexible-body system dynamics.

关 键 词：Multi-rigid-flexible-body system Spatial mo- tion DYNAMICS Discrete time transfer matrix method 

分 类 号：O313.7[理学—一般力学与力学基础] TU323.3[理学—力学]