NDLI: A new version of transfer matrix method for multibody systems

Content Provider	Springer Nature Link
Author	Rui, Xiaoting Bestle, Dieter Zhang, Jianshu Zhou, Qinbo
Copyright Year	2016
Abstract	In order to avoid the global dynamics equations and increase the computational efficiency for multibody system dynamics (MSD), the transfer matrix method of multibody system (MSTMM) has been developed and applied very widely in research and engineering in recent 20 years. It differs from ordinary methods in multibody system dynamics with respect to the feature that there is no need for a global dynamics equation, and it uses low-order matrices for high computational efficiency. For linear systems, MSTMM is exact even if continuous elements like beams are involved. The discrete time MSTMM, however, has to use local linearization. In order to release the method from such approximations, a new version of MSTMM is presented in this paper where translational and angular accelerations, on the one hand, and internal forces and moments, on the other hand, are used as state variables. Already linear relationships among these quantities are utilized, which results in new element transfer matrices and algorithms making the study of multibody systems as simple as the study of single bodies. The proposed approach also allows combining MSTMM with any general numerical integration procedure. Some numerical examples of MSD are given to demonstrate the proposed method.
Starting Page	137
Ending Page	156
Page Count	20
File Format	PDF
ISSN	13845640
Journal	Multibody System Dynamics
Volume Number	38
Issue Number	2
e-ISSN	1573272X
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-06-15
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Multibody system dynamics Transfer matrix method Transfer equation Computational efficiency Computational precision Vibration, Dynamical Systems, Control Optimization Electrical Engineering Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Mechanical Engineering Aerospace Engineering Modeling and Simulation Computer Science Applications

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