Discrete time transfer matrix method of multi-rigid-flexible-body system

A new method for multi-rigid-flexible-body system dynamics.. named discrete time transfer matrix method of multi-rigid-flexible-body system (MRFS-DT-TMM) is developed in the paper to study multi-rigid-flexible-body system dynamics. This method combines and expands the advantages of the transfer matrix method TMM), transfer matrix method of multibody system (MS-TMM), discrete time transfer matrix method (DT-TMM), discrete time transfer matrix method of multibody system (MS-DT-TMM) and the numerical integration procedure. When using this method to study multi-rigid-flexible-body system dynamics, the global dynamics equations of the system are not needed and the orders of involved system matrices are always very small. It has the modeling flexibility and high computational speed irrespective of the size of a multi-rigid-flexible-body system. This method is simple, straightforward, practical, and provides a powerful tool for multi-rigid-flexible-body system dynamics. It can be applied to dynamics analysis for complex multibody system expediently and effectively. Formulations of the method as well as some numerical examples of multi-rigid-flexible-body system dynamics moving in plane and space are given to validate the method.