63176 A Graph-Theoretic Approach to Large Scale Multibody Systems(Modeling, Formalisms, and DAE Solution Method)

2010 ◽  
Vol 2010.5 (0) ◽  
pp. _63176-1_-_63176-9_
Author(s):  
Takashi Noguchi ◽  
Hiroaki Yoshimura
Keyword(s):  
Multibody Systems ◽  
Large Scale ◽  
Solution Method ◽  
Theoretic Approach ◽  
Systems Modeling ◽  
Graph Theoretic ◽  
Graph Theoretic Approach ◽  
Modeling Formalisms

On the Use of Virtual Work in a Graph-Theoretic Formulation for Multibody Dynamics

1997 ◽  
Author(s):  
Pengfei Shi ◽  
John McPhee
Keyword(s):  
Multibody Systems ◽  
Virtual Work ◽  
Equations Of Motion ◽  
Flexible Multibody Systems ◽  
Theoretic Approach ◽  
Computer Implementation ◽  
Graph Theoretic ◽  
Graph Theoretic Approach ◽  
Flexible Multibody ◽  
New Formulation

Abstract In this paper, graph-theoretic and virtual work methods are combined in a new formulation of the equations of motion for rigid and flexible multibody systems. In addition to extending the theory for existing graph-theoretic approaches, this new formulation offers two distinct improvements. First, the set of differential-algebraic dynamic equations are smaller in number than those obtained using conventional formulations. Secondly, the equations of motion for rigid and flexible multibody systems can be generated using a consistent graph-theoretic approach, thereby leading to an efficient and modular computer implementation.

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