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Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles

Pozzolini, Cédric and Salaün, Michel Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles. (2011) ESAIM: Mathematical Modelling and Numerical Analysis, 45 (6). 1163-1192. ISSN 0764-583X

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Official URL: http://dx.doi.org/10.1051/m2an/2011008


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.

Item Type:Article
Additional Information:Thanks to SMAI and EDP Sciences editors. The original PDF of the article can be found at ESAIM: Mathematical Modelling and Numerical Analysis journal : http://www.esaim-m2an.org/action/displayAbstract?fromPage=online&aid=8322028
HAL Id:hal-00813464
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National d'Études Spatiales - CNES (FRANCE)
Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Other partners > Institut National des Sciences Appliquées de Lyon - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
Deposited On:15 Apr 2013 14:12

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