Graph-Based Modeling of Nonhomogeneous One-Dimensional Multibody Systems With Arbitrary Topology

2011 ◽  
Vol 6 (3) ◽  
Author(s):  
Stefania Tonetti ◽  
Pierangelo Masarati
Keyword(s):  
Graph Theory ◽  
Transfer Function ◽  
System Dynamics ◽  
Multibody Systems ◽  
Multibody System ◽  
Higher Dimensions ◽  
Matrix Inversion ◽  
Multibody System Dynamics ◽  
One Dimensional ◽  
Arbitrary Topology

This paper presents a method to study multibody system dynamics based on graph theory. The transfer function between any pair of bodies of nonhomogeneous multibody systems with arbitrary topology can be computed without any matrix inversion. The analysis is limited to one-dimensional topologies for clarity, although it can be extended to systems with higher dimensions. Examples illustrate its application to topologies of increasing complexity.

Advances in Transfer Matrix Method of Multibody System

2009 ◽  
Author(s):  
Xiaoting Rui ◽  
Guoping Wang ◽  
Laifeng Yun ◽  
Bin He ◽  
Fufeng Yang ◽  
...  
Keyword(s):  
System Dynamics ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody Systems ◽  
Multibody System ◽  
Engineering Problem ◽  
Multibody System Dynamics ◽  
Integration Scheme ◽  
Linear And Nonlinear

Multibody system dynamics has become important theoretical tool for wide engineering problems analysis in the world. Transfer matrix method of multibody system (MS-TMM) is a new approach for multibody system dynamics, which is developed in 20 years. In this paper, the transfer matrix method for linear and nonlinear multibody systems are introduced respectively. For linear multibody systems, the new concept of body dynamics equation and augmented eigenvector, the construction method of orthogonality, and the computing method of vibration characteristics and dynamic response are introduced; For nonlinear multibody systems, the discrete time transfer matrix method of multibody system (MS-DT-TMM) are presented. The apply of the transfer matrix method for multibody systems with tree, closed loop and network structures are also introduced. The transfer matrix method has good characteristics: 1 It does not require overall dynamics equations of system and simplify the solution procedure. 2 It has high computing speed, because the system matrices are always small irrespective of the size of a system. 3 It avoids the difficulties caused by developing overall dynamic equations of a system and by computing too high order matrices. 4 It provides maximum flexibility in modeling various configurations of multibody systems, by creating library of transfer matrices and assembling them easily, and by introducing any suitable numerical integration scheme. The new method is efficient for linear and nonlinear multi-rigid-flexible-body system, and it has been paid great attention, because many engineering problem of important mechanical system were solved effectively by using this method.

Implicit Algorithm for Riccati Transfer Matrix Method for Multibody Systems

2018 ◽  
Author(s):  
Tianxiong Tu ◽  
Guoping Wang ◽  
Xiaoting Rui ◽  
Jianshu Zhang ◽  
Xiangzhen Zhou
Keyword(s):  
System Dynamics ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Numerical Stability ◽  
Matrix Method ◽  
Multibody Systems ◽  
Multibody System ◽  
Multibody System Dynamics ◽  
Global Dynamics ◽  
Implicit Algorithm

Rui method, namely the transfer matrix method for multibody systems (MSTMM) is a new and efficient method for multibody system dynamics (MSD) for its features as follows: without global dynamics equations of the system, high programming, low order of system matrix and high computational speed. Riccati transfer matrix method for multibody systems was developed by introducing Riccati transformation in MSTMM, for improving numerical stability of MSTMM. In this paper, based on Riccati MSTMM, applying the thought of direct differentiation method, by differentiation of Riccati transfer equations of rigid bodies and joints, generalized acceleration and its differentiation can be obtained. Combined with Backward Euler algorithm, implicit algorithm for Riccati MSTMM is proposed in this paper. The formulation and computing procedure of the method are presented. The numerical examples show that results obtained by first order accurate implicit algorithm proposed in the paper and the fourth order accurate Runge-Kutta method have good agreement, which indicates that this implicit method is more numerical stability than explicit algorithm with the same order accurate. The implicit algorithm for Riccati MSTMM can be used for improving the computational accuracy of multibody system dynamics.

scholarly journals Preface to Symposium on Computational Geometric Methods in Multibody System Dynamics

2010 ◽  
Author(s):  
Zdravko Terze ◽  
Andreas Müller ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
System Dynamics ◽  
Multibody System ◽  
Multibody System Dynamics ◽  
Geometric Methods

Flapwise Vibration Computations of Coupled Helicopter Rotor/Fuselage: Application of Multibody System Dynamics

AIAA Journal ◽  
2018 ◽  
Vol 56 (2) ◽  
pp. 818-835 ◽  
Author(s):  
Xiaoting Rui ◽  
Laith K. Abbas ◽  
Fufeng Yang ◽  
Guoping Wang ◽  
Hailong Yu ◽  
...  
Keyword(s):  
System Dynamics ◽  
Multibody System ◽  
Multibody System Dynamics ◽  
Helicopter Rotor ◽  
Flapwise Vibration
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