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A Generalized Recursive Coordinate Reduction Method for Multibody System Dynamics
 

Summary: A Generalized Recursive Coordinate Reduction
Method for Multibody System Dynamics
J. H. Critchley & K. S. Anderson
Department of Mechanical, Aeronautical, and Nuclear Engineering,
Rensselaer Polytechnic Institute, Troy, New York, USA
ABSTRACT
The method of recursive coordinate reduction (RCR) offers solutions to the forward
problem of multibody dynamics at a cost in which the number of operations is linear in
both the number of generalized coordinates, n, and the number of independent algebraic
constraints, m (e.g., O(n + m)). However, the RCR is presently restricted in applicabil-
ity (albeit broad) and susceptible to formulation singularities. This article develops two
methods for avoiding formulation singularities as well as a recursive general coupled loop
solution that extends the RCR to the complete set of multibody systems. Application of
these techniques are further illustrated with a special five-bar linkage.The existing RCR
coupled with these developments constitute a generalized recursive coordinate reduction
method that should be used in place of the traditional "O(n)" constraint technique (truly
O(n + nm + m)) for superior O(n + m) computational performance.
International Journal for Multiscale Computational Engineering, 1(2&3)181199 (2003)
Document ID# JMC0102-03-181199(014) 181
0731-8898/03/$5.00 2003 by Begell House, Inc.

  

Source: Anderson, Kurt S. - Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute

 

Collections: Computer Technologies and Information Sciences