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

C. Pozzolini;  M. Salaun — 2011

ESAIM: Mathematical Modelling and Numerical Analysis

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...

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

C. Pozzolini;  M. Salaun — 2011

ESAIM: Mathematical Modelling and Numerical Analysis

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...

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