Stability Optimization of a Disc Brake System with Hybrid Uncertainties for Squeal Reduction

A hybrid uncertain model is introduced to deal with the uncertainties existing in a disc brake system in this paper. By the hybrid uncertain model, the uncertain parameters of the brake with enough sampling data are treated as probabilistic variables, while the uncertain parameters with limited data...

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Main Authors: Hui Lü, Dejie Yu
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2016/3497468
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author Hui Lü
Dejie Yu
author_facet Hui Lü
Dejie Yu
author_sort Hui Lü
collection DOAJ
description A hybrid uncertain model is introduced to deal with the uncertainties existing in a disc brake system in this paper. By the hybrid uncertain model, the uncertain parameters of the brake with enough sampling data are treated as probabilistic variables, while the uncertain parameters with limited data are treated as interval probabilistic variables whose distribution parameters are expressed as interval variables. Based on the hybrid uncertain model, the reliability-based design optimization (RBDO) of a disc brake with hybrid uncertainties is proposed to explore the optimal design for squeal reduction. In the optimization, the surrogate model of the real part of domain unstable eigenvalue of the brake system is established, and the upper bound of its expectation is adopted as the optimization objective. The lower bounds of the functions related to system stability, the mass, and the stiffness of design component are adopted as the optimization constraints. The combinational algorithm of Genetic Algorithm and Monte-Carlo method is employed to perform the optimization. The results of a numerical example demonstrate the effectiveness of the proposed optimization on improving system stability and reducing squeal propensity of a disc brake under hybrid uncertainties.
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institution Kabale University
issn 1070-9622
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publishDate 2016-01-01
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series Shock and Vibration
spelling doaj-art-4fd1d84842ff40b9b49ab4cc4ece205e2025-02-03T05:48:16ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/34974683497468Stability Optimization of a Disc Brake System with Hybrid Uncertainties for Squeal ReductionHui Lü0Dejie Yu1State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan 410082, ChinaState Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan 410082, ChinaA hybrid uncertain model is introduced to deal with the uncertainties existing in a disc brake system in this paper. By the hybrid uncertain model, the uncertain parameters of the brake with enough sampling data are treated as probabilistic variables, while the uncertain parameters with limited data are treated as interval probabilistic variables whose distribution parameters are expressed as interval variables. Based on the hybrid uncertain model, the reliability-based design optimization (RBDO) of a disc brake with hybrid uncertainties is proposed to explore the optimal design for squeal reduction. In the optimization, the surrogate model of the real part of domain unstable eigenvalue of the brake system is established, and the upper bound of its expectation is adopted as the optimization objective. The lower bounds of the functions related to system stability, the mass, and the stiffness of design component are adopted as the optimization constraints. The combinational algorithm of Genetic Algorithm and Monte-Carlo method is employed to perform the optimization. The results of a numerical example demonstrate the effectiveness of the proposed optimization on improving system stability and reducing squeal propensity of a disc brake under hybrid uncertainties.http://dx.doi.org/10.1155/2016/3497468
spellingShingle Hui Lü
Dejie Yu
Stability Optimization of a Disc Brake System with Hybrid Uncertainties for Squeal Reduction
Shock and Vibration
title Stability Optimization of a Disc Brake System with Hybrid Uncertainties for Squeal Reduction
title_full Stability Optimization of a Disc Brake System with Hybrid Uncertainties for Squeal Reduction
title_fullStr Stability Optimization of a Disc Brake System with Hybrid Uncertainties for Squeal Reduction
title_full_unstemmed Stability Optimization of a Disc Brake System with Hybrid Uncertainties for Squeal Reduction
title_short Stability Optimization of a Disc Brake System with Hybrid Uncertainties for Squeal Reduction
title_sort stability optimization of a disc brake system with hybrid uncertainties for squeal reduction
url http://dx.doi.org/10.1155/2016/3497468
work_keys_str_mv AT huilu stabilityoptimizationofadiscbrakesystemwithhybriduncertaintiesforsquealreduction
AT dejieyu stabilityoptimizationofadiscbrakesystemwithhybriduncertaintiesforsquealreduction