SOME ENERGY CONSERVATIVE SCHEMES FOR VIBRO-IMPACTS OF A BEAM ON RIGID OBSTACLES - Archive ouverte HAL Access content directly
Journal Articles ESAIM: Mathematical Modelling and Numerical Analysis Year : 2011

SOME ENERGY CONSERVATIVE SCHEMES FOR VIBRO-IMPACTS OF A BEAM ON RIGID OBSTACLES

Abstract

Caused by the problem of unilateral contact during vibrations of satellite solar arrays, the aim of this paper is to better understand such a phenomenon. Therefore, it is studied here a simplified model composed by a beam moving between rigid obstacles. Our purpose is to describe and compare some families of fully discretized approximations and their properties, in the case of non-penetration Signorini's conditions. For this, starting from the works of Dumont and Paoli, we adapt to our beam model the singular dynamic method introduced by Renard. A particular emphasis is given in the use of a restitution coefficient in the impact law. Finally, various numerical results are presented and energy conservation capabilities of the schemes are investigated.
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Dates and versions

hal-00618768 , version 1 (02-09-2011)

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Cédric Pozzolini, Michel Salaün. SOME ENERGY CONSERVATIVE SCHEMES FOR VIBRO-IMPACTS OF A BEAM ON RIGID OBSTACLES. ESAIM: Mathematical Modelling and Numerical Analysis, 2011, vol. 45, pp.1163-1192. ⟨10.1051/m2an/2011008⟩. ⟨hal-00618768⟩
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