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Contribution to symbolic analysis of deformable multi‐body systems
Author(s) -
Fisette P.,
Samin J. Cl.,
Willems P. Y.
Publication year - 1991
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.1620320807
Subject(s) - finite element method , simple (philosophy) , rigid body , computer science , modal , mathematics , elasticity (physics) , equations of motion , linear elasticity , algorithm , calculus (dental) , mathematical optimization , structural engineering , classical mechanics , engineering , physics , medicine , philosophy , chemistry , epistemology , dentistry , polymer chemistry , thermodynamics
The aim of this paper is to present the equations of motion of deformable multi‐body systems in a compact form which is suitable for symbolic generation. Particular attention is paid to obtaining the various equations corresponding to joint displacements and body deformations in a unified manner. A large number of common intermediate terms are identified and appropriately assembled in the final form of the equations; for the various applications, this simple consideration permits one to drastically save on the computational effort. This paper also presents the data which are necessary to completely formulate the problem when the body deformations are described by a linear elasticity model (obtained from a modal or finite element description).