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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Format: | Article |
Language: | English |
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Wiley
2016-01-01
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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. |
format | Article |
id | doaj-art-4fd1d84842ff40b9b49ab4cc4ece205e |
institution | Kabale University |
issn | 1070-9622 1875-9203 |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
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 |