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International Journal for Multiscale Computational Engineering
Facteur d'impact: 1.016 Facteur d'impact sur 5 ans: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v1.i23.20
12 pages

Assessment of the Significance of Nonlinear Terms in the Simulation of Flexible Multibody Systems

Y. C. Mbono Samba
Universite de Yaoude I, Departement de Mathematiques, Yaounde, Cameroun
M. Pascal
Laboratoire CEMIF Systemes Complexes, Universite d’Evry Val d’Essonne, Evry, France

RÉSUMÉ

The work is concerned with the dynamics of multibody systems with flexible parts undergoing large rigid body motions and small elastic deformations. An attempt to evaluate the influence of nonlinear terms with respect to elastic parameters occurring in the global motion of the system is performed. These nonlinear terms come from centrifugal and Coriolis forces related to the rigid rotation of the bodies. Several studies have been made in the past about this problem, and some approximations or simplifications are sometimes suggested. In order to quantify the relative size of these nonlinear terms, a non dimensional analysis is performed, with some assumptions about the order of magnitude of the different parameters occurring in the dynamical system obtained by Kane’s method. A flexible slider crank mechanism is used as a test example.


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