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Discrete time transfer matrix method for dynamics of multibody system with flexible beams moving in space
Authors:Xiao-Ting Rui  Edwin Kreuzer  Bao Rong and Bin He
Institution:Xiao-Ting Rui Bao Rong Bin He Institute of Launch Dynamics,Nanjing University of Science & Technology,210094 Nanjing,China Edwin Kreuzer Mechanics and Ocean Enginnering of Hamburg University of Technology,Hamburg,Germany
Abstract:In this paper, by defining new state vectors and developing new transfer matrices of various elements moving 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 moving 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, irrespective 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.
Keywords:Multi-rigid-flexible-body system Spatial motion Dynamics Discrete time transfer matrix method
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