Transfer Matrix Method for Multibody Systems - Theory and Applications

This book introduces a new method of multibody system dynamics. The high programming transfer matrix method of multibody system is introduced systematically for the first time. This method of linear multibody system and discrete time transfer matrix method of general multibody system was first developed by the book's author and his research team, and has found application in many engineering technology fields. It provides a totally new method and means for studying dynamics of multibody system.§§The first part of the book develops transfer matrix method of linear multibody system. The deduction methods of various transfer matrices are presented. Some new concepts such as, body dynamics equation, augmented operator and augmented eigenvector are introduced. The orthogonality of augmented eigenvector of complex multi-rigid-flexible-body system is verified. So, the problems of the precision analysis and computation of eigenvalue problem and dynamics responses for complex multi-rigid-flexible-body system are solved.§§The second part introduces discrete time transfer matrix method of multibody system, and mixed methods of these methods with other dynamics methods. The multi-rigid-body system dynamics, multi-rigid-flexible-body system dynamics, and controlled multibody system dynamics are computed using transfer matrix method of multibody system.§§The third part shows the practical application results of transfer matrix method of multibody system in some important engineering including launch dynamics of multiple launch rocket systems, launch dynamics of self-propelled artillery and launch dynamics of on-ship guns, which are currently hot topics in weapons science.