Numerical simulation of a model of vibrations with joint clearance Online publication date: Mon, 08-Dec-2008
by Yves Dumont, Laetitia Paoli
International Journal of Computer Applications in Technology (IJCAT), Vol. 33, No. 1, 2008
Abstract: Motivated by the problem of vibrations due to joint clearance between components in complex mechanical systems, we study in this paper the motion of a beam between rigid obstacles. We assume that the material is elastic and the motion is planar. The contact is described with a non-penetration condition, which leads to a model of dynamics with unilateral constraints. We propose a family of fully discretised approximations and their convergence is established. Moreover we present some examples of implementation using either finite element or spline space discretisation.
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