Contribution to 3D impact problems: collisions between two slender steel bars

Cédric Le Saux; Franck Cevaer; René Motro

doi:10.1016/j.crme.2003.10.005

Contribution to 3D impact problems: collisions between two slender steel bars

Presented by: Évariste Sanchez-Palencia

Cédric Le Saux ¹; Franck Cevaer ¹; René Motro ¹

¹ Laboratoire de mécanique et génie civil, UMR UMII-CNRS 5508, Université Montpellier II, CC 048, place Eugène Bataillon, 34095 Montpellier cedex 5, France

Comptes Rendus. Mécanique, Volume 332 (2004) no. 1, pp. 17-22.

Abstract
Résumé

This Note deals with the three-dimensional phenomenon of collision between two slender steel bars. The problem posed is whether the restitution concept developed in rigid-body theory is relevant in the case of such slender contactors. Some elements of an answer are provided through the use of two complementary approaches of collision, a theoretical one based on coefficients of restitution and series of experiments. Our main conclusion is that the alleged Newton coefficient of restitution varies according to the impact location on the rods.

Cette Note présente une étude du phénomène de collision entre deux barres d'acier élancées. La question est posée de savoir si la notion de restitution développée dans le contexte de corps rigides est pertinente pour de tels contacteurs. Par le biais de deux approches complémentaires de ce phénomène, l'une théorique à coefficients de restitution et l'autre expérimentale, nous apportons des éléments de réponse à la question posée. Principalement on démontre la variation du prétendu coefficient de restitution de Newton en fonction de la position du point d'impact sur les barres.

Received: 2003-07-17
Accepted: 2003-10-14
Published online: 2003-12-30

DOI: 10.1016/j.crme.2003.10.005

Keywords: Dynamics of rigid or flexible systems, Collisions, Slender bars, Coefficient of restitution, Flexural vibrations, Multiple micro-collisions
Mot clés : Dynamique des systèmes rigides ou flexibles, Collisions, Barres élancées, Coefficient de restitution, Vibrations de flexion, Multiple micro-collisions

Author's affiliations:

Cédric Le Saux ¹; Franck Cevaer ¹; René Motro ¹

¹ Laboratoire de mécanique et génie civil, UMR UMII-CNRS 5508, Université Montpellier II, CC 048, place Eugène Bataillon, 34095 Montpellier cedex 5, France

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     author = {C\'edric Le Saux and Franck Cevaer and Ren\'e Motro},
     title = {Contribution to {3D} impact problems: collisions between two slender steel bars},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {17--22},
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Cédric Le Saux; Franck Cevaer; René Motro. Contribution to 3D impact problems: collisions between two slender steel bars. Comptes Rendus. Mécanique, Volume 332 (2004) no. 1, pp. 17-22. doi : 10.1016/j.crme.2003.10.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2003.10.005/

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