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| HAL : hal-00690534, version 1 |
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| Comptes Rendus de l Académie des Sciences - Series I - Mathematics 326 (1998) 131-136 |
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| Singular perturbation of a non-monotonous dry friction problem |
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| Yves Renard 1, 2 |
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| (1998) |
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| In this note we deal with a singular perturbated system constituted by a differential inclusion which has a unique solution for each value of the perturbation parameter. The associated degenerated problem, that corresponds to a dynamic dry friction problem, has many solutions. We show that pertubated problem solutions converge to a particular solution of the degenerated problem when the perturbation parameter goes to zero. The singular perturbation approach allows an analysis of a criterion used to select a solution of he degenerated problem and suggests a method to study more elaborated dry friction problems. |
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| 1 : | Laboratoire de Mécanique des Contacts et des Structures (LaMCoS) |
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CNRS : UMR5259 – Institut National des Sciences Appliquées (INSA) - Lyon |
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| 2 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Domaine | : | Mathématiques/Analyse numérique |
| hal-00690534, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00690534 | |
| oai:hal.archives-ouvertes.fr:hal-00690534 | |
| Contributeur : Yves Renard | |
| Soumis le : Lundi 23 Avril 2012, 17:57:40 | |
| Dernière modification le : Lundi 23 Avril 2012, 17:57:40 | |
