Sensitivity analysis and Kriging based models for robust stability analysis of brake systems |
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| Affiliation: | 1. Laboratoire de Tribologie et Dynamique des Systmes, UMR 5513, Ecole Centrale de Lyon, 36 avenue Guy de Collongue, 69134 Ecully Cedex, France;2. Institut Universitaire de France, 75005 Paris, France;1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza”, 00184 Roma, Italy;2. Institute of Mechanics and Printing, Warsaw University of Technology, 85 Narbutta, Warsaw 02-524, Poland;3. Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA;4. International Research Center for the Mathematics and Mechanics of Complex Systems – MeMoCS, Università dell’Aquila, Italy;1. Istituto per le Applicazioni del Calcolo CNR, Via dei Taurini 19, 00185 Rome, Italy;2. Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria;3. Dipartimento di Matematica e Fisica “Ennio De Giorgi”, University of Salento, via Arnesano, 73100 Lecce, Italy;4. Istituto Nanoscienze-CNR, Euromediterranean Center for Nanomaterial Modelling and Technology (ECMT), via Arnesano, I-73100 Lecce, Italy;1. Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, 62251 Cuernavaca, Mexico;2. Department of Physics, School of Science, Aristotle University of Thessaloniki, GR-541 24 Thessaloniki, Greece;1. School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Guangdong, 510641, China;2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan, 410082, China |
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| Abstract: | This paper presents a global strategy for the prediction of brake squeal. This approach is based on the global sensitivity analysis combined with Kriging modeling. The main aim is to assess the pertinence of using this strategy to build suitable and efficient instability predictors that can be potentially associated with numerical optimization schemes and/or robustness analysis algorithms for a robust design of brake systems. Through the use of a simplified brake system, the global sensitivity analysis is, firstly, shown to be essential for obtaining great insight on how design parameters influence individually and/or collectively the stability behavior. The latter is characterized by the distance of all the systems eigenvalues from the imaginary axis. It is shown that the so-called Sobol indices help for an objective quantification of the importance of taking parameter uncertainty into account in the whole design process. Based on these conclusions, Kriging modeling is, secondly, proposed to robustly predict friction induced instabilities. Its efficiency is then demonstrated. Consequently, the global sensitivity analysis and Kriging modeling give a very promising strategy helping for squeal prediction and, more generally, for optimal and robust design of brake systems. |
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| Keywords: | Brake systems Squeal Finite element models Stability Sensitivity analysis Uncertainty Kriging modeling |
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