Discrete time transfer matrix method for dynamics of multibody system with flexible beams moving in space

Abstract

In this paper, by defining new state vectors and developing new transfer matrices of various elements moving in space, the discrete time transfer matrix method of multi-rigid-flexible-body system is expanded to study the dynamics of multibody system with flexible beams moving in space. Formulations and numerical example of a rigidflexible-body three pendulums system moving in space are given to validate the method. Using the new method to study the dynamics of multi-rigid-flexible-body system moving in space, the global dynamics equations of system are not needed, the orders of involved matrices of the system are very low and the computational speed is high, irrespective of the size of the system. The new method is simple, straightforward, practical, and provides a powerful tool for multi-rigid-flexible-body system dynamics.

Research on the rigid-flexible multibody dynamics of concrete placing boom

“…All transfer matrix U α (α is element's ID) in this article can be found in Refs. [16][17][18][19][20][21][22][23]. The transfer equations of each branch in substructure A are…”

“…The method, which combined the transfer matrix method with the numerical integration procedure, retained the high computing efficiency of the transfer matrix for chained systems [16]. Then the method was gradually developed for rigid-flexible multibody dynamics [17][18]. Due to the advantage of computational efficiency, this method was applied to many mechanical engineering fields, such as shipboard gun system [19] and self-propelled artillery system [20].…”

Numerical simulation of the spreading dynamic responses of the multibody system with a floating base

“…Some advanced researches about multibody system are done by Kreuzer and his team in recent years (Dostal and Kreuzer, 2013;Kreuzer et al, 2014;Rui et al, 2012). Offloading operations are simulated and analyzed in time domain (de Wilde et al, 2010;Zhao et al, 2014;Woodburn et al, 2003;Zhao et al, 2013) and the systematic evaluations of the hydrodynamics and responses of the multibody system are also performed in FPSO tandem offloading operation (Wang et al, 2010).…”

Study on the Seismic Response of a Portal Frame Structure Based on the Transfer Matrix Method of Multibody System

“…The transfer matrix method of multibody system (MS-TMM) [10] was developed by Xiaoting Rui in 1993 and was mainly divided into the transfer matrix method of linear multibody system [11] and discrete time transfer matrix method [12]. The former method mainly determined the vibration characteristics of a linear multibody system [13], while the latter mainly solved the time-varying, nonlinear, large motion, controlled, or another general multibody system dynamic problem [14].…”