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

Stability Optimization of a Disc Brake System with Hybrid Uncertainties for Squeal Reduction
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具有混合不确定性的盘式制动系统的稳定性优化以减少尖叫

DOI:
10.1155/2016/3497468
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发表时间:
2016-02
影响因子:
1.6
通讯作者:
Yu Dejie
Yu Dejie
中科院分区:
工程技术4区
文献类型:
--
作者:
Lü Hui;Yu Dejie

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针对盘式制动系统存在的不确定性问题,提出了一种混合不确定模型。通过混合不确定模型,将采样数据充足时的不确定参数处理为概率变量,将采样数据有限时的不确定参数处理为区间概率变量,其分布参数表示为区间变量。在混合不确定性模型的基础上,提出了具有混合不确定性的盘式制动器的可靠性优化设计方法,探讨了其降低尖叫的优化设计。在优化中,建立了制动系统域不稳定特征值实部的代理模型,并以其期望的上界作为优化目标。采用系统稳定性、质量和设计构件刚度相关函数的下界作为优化约束。采用遗传算法和蒙特卡罗方法的组合算法进行优化。数值算例结果表明,所提出的优化方法在提高系统稳定性和降低混合不确定性下盘式制动器的尖叫倾向方面是有效的。
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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