Abstract
Abstract
Flexible plates are general components in many engineering fields such as aircrafts and vehicles, and their efficient dynamics analysis has an important significance. In this article, by combining discrete time transfer matrix method of multi-body system (MS-DT-TMM) with finite-element method (FEM), the dynamics equations of a flexible plate moving in space are deduced, and its transfer equation and transfer matrix are presented. Finally, a high-efficient modelling method is developed for dynamics analysis on a flexible plate undergoing large overall motion. Compared with ordinary dynamics methods, this method combines the modelling flexibility of MS-DT-TMM with applicability for the two-dimension structure of FEM. By using this method, the global dynamics equations of the system are not needed, the orders of involved matrices are always very small, and the computational speed is high irrespective of the size of the system. The method has advantages for dynamics design of complex flexible multi-body systems (FMS) with flexible plates. Formulations of the method as well as a numerical example of a FMS with a rectangular flexible plate are given to validate the method.
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