ENERGY CONSERVATIVE FINITE ELEMENT SEMI-DISCRETIZATION FOR VIBRO-IMPACTS OF PLATES ON RIGID OBSTACLES

摘要

Our purpose is to describe and compare some families of fully discretized approximations and their properties, in the case of vibro-impact of plates between rigid obstacles with non-penetration Signorini's conditions. To this aim, the dynamical Kirchhoff-Love plate model is considered and an extension to plates of the singular dynamic method, introduced by Renard and previously adapted to beams by Pozzolini and Salaun, is described. A particular emphasis is given in the use of an adapted Newmark scheme in which intervene a discrete restitution coefficient. Finally, various numerical results are presented and energy conservation capabilities of several numerical schemes are investigated and discussed.