Mode coupling instability mitigation in friction systems by means of nonlinear energy sinks: Numerical highlighting and local stability analysis
| Autor: | Sébastien Berger, Baptiste Bergeot, Sergio Bellizzi |
|---|---|
| Přispěvatelé: | Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA), Dynamique interactions vibrations Structures (DivS), Laboratoire de Mécanique Gabriel Lamé (LaMé), Université d'Orléans (UO)-Université de Tours (UT)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université d'Orléans (UO)-Université de Tours (UT)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Pierre Aigrain (LPA), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)-Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Singular perturbation
Aerospace Engineering 02 engineering and technology 01 natural sciences Instability Stability (probability) 0203 mechanical engineering Control theory 0103 physical sciences General Materials Science 010301 acoustics Coupling Physics Relaxation oscillations Non linear energy sink Passive control Strongly modulated response Friction-induced vibration Mechanical Engineering nonlinear energy sink Mechanics [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph] Vibration Nonlinear system 020303 mechanical engineering & transports Mechanics of Materials [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] Automotive Engineering Mode coupling Restoring force |
| Zdroj: | Journal of Vibration and Control Journal of Vibration and Control, 2018, 24 (15), pp.3487-3511. ⟨10.1177/1077546317707101⟩ Journal of Vibration and Control, SAGE Publications, 2017, 24 (15), pp.3487-3511. ⟨10.1177/1077546317707101⟩ Journal of Vibration and Control, SAGE Publications, 2018, 24 (15), pp.3487-3511. ⟨10.1177/1077546317707101⟩ Journal of Vibration and Control, SAGE Publications, In press, ⟨10.1177/1077546317707101⟩ |
| ISSN: | 1077-5463 |
| Popis: | International audience; In this paper, we study the problem of passive control of friction-induced vibrations due to mode coupling instability in braking systems. To achieve that, the well-known two degrees of freedom Hultén's model, which reproduces the typical dynamic behavior of friction systems, is coupled to two ungrounded nonlinear energy sinks (NES). The NES involves an essential cubic restoring force and a linear damping force. First, using numerical simulations it is shown that the suppression or the mitigation of the instability is possible and four steady-state responses are highlighted: complete suppression , mitigation through periodic response, mitigation through strongly modulated response, and no suppression of the mode coupling instability. Then the system is analyzed applying a complexification-averaging method and the resulting slow-flow is finally analyzed using geometric singular perturbation theory. This analysis allows us to explain the observed steady-state response regimes and predict some of them. The boundary values of the friction coefficient for some of the transitions between these regimes are predicted. However, the appearance of a three-dimensional super-slow flow subsystem highlights the limitation of the local linear stability analysis of the slow-flow to predict all these boundaries. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|