Summary
A new method of multibody system dynamics, named discrete time transfer matrix method of multibody system (MS-DT-TMM) is developed and widely used in engineering field in recent years. When using this method for the problems of multibody system dynamics, the global dynamics equations of the system are not needed and the orders of involved system matrices are always small. The advance in MS-DT-TMM in recent years has been studied in this paper as following: 1 Discrete time transfer matrix method of rigid-flexible multibody system is developed to study rigid-flexible multibody system dynamics. 2 Mixed method of MS-DT-TMM and finite element method is developed to study rigid-flexible multibody system dynamics. 3 Mixed method of MS-DT-TMM and multibody system dynamics method is developed to study rigid-flexible multibody system dynamics. 4 Riccati discrete time transfer matrix method of multibody system is developed to increase the computation speed and the computation stability. 5 Discrete time transfer matrix method of controlled multibody system is developed to study dynamics of controlled multibody system. Several corresponding numerical examples are done to validate these proposed methods. All this implies that the proposed methods provide a powerful tool for the study of multibody system dynamics.
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Rui, X., He, B., Yun, L., Wang, G., Yang, F., Lu, Y. (2007). Advances in Discrete Time Transfer Matrix Method of Multibody System. In: Eberhard, P. (eds) IUTAM Symposium on Multiscale Problems in Multibody System Contacts. IUTAM Bookseries, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5981-0_21
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DOI: https://doi.org/10.1007/978-1-4020-5981-0_21
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