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A natural partitioning scheme for parallel simulation of multibody systems
Author(s) -
Chiou J. C.,
Park K. C.,
Farhat C.
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620360605
Subject(s) - jacobian matrix and determinant , schur complement , constraint (computer aided design) , conjugate gradient method , multibody system , mathematics , matrix (chemical analysis) , equations of motion , scheme (mathematics) , computer science , algorithm , mathematical analysis , geometry , classical mechanics , physics , eigenvalues and eigenvectors , materials science , quantum mechanics , composite material
A parallel partitioning scheme based on physical‐co‐ordinate variables is presented to systematically eliminate system constraint forces and yield the equations of motion of multibody dynamics systems in terms of their independent co‐ordinates. Key features of the present scheme include an explicit determination of the independent co‐ordinates, a parallel construction of the null space matrix of the constraint Jacobian matrix, an easy incorporation of the previously developed two‐stage staggered solution procedure and a Schur complement based parallel preconditioned conjugate gradient numerical algorithm.