Scientific publications
Other affiliations: Laboratoire de Mathématiques d'Orsay
M. Pascal
Other affiliations: Université d'Évry Val-d'Essonne
International Journal for Multiscale Computational Engineering
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.
