Stability analysis of drum brake based on interval parameters

Abstract

Abstract: To suppress brake squeal, a stability and reliability analysis of drum brake with interval uncertainty parameters is presented based on the response surface method, finite element complex eigenvalue analysis, and theories of reliability. In the proposed method, Young’s modulus of the friction plate, brake shoe, and brake drum is treated as uncertain parameters, with the interval parameters describing the uncertainties in the braking system. Then, a response surface approximation model of the coefficient with interval uncertainty parameters is built up in a drum brake, achieving model parameterization for brake stability analysis. Furthermore, by combining interval analysis with reliability analysis, the drum brake system model uses the proposed method, the statistical regularities of the drum brake system with the uncertainty of Young’s modulus are analyzed, and the results show that enhancing the control over the Young's modulus of the brake shoe and friction plate can improve the vibration stability of a brake system effectively and reliably under uncertainty conditions. Reference value is provided for the suppression of brake noise in engineering.

Key words: brake squeal, interval parameters, stability, complex eigenvalue, response surface

CLC Number:

U463.51

HE Ning, ZHANG De-long, ZHANG Qing-hua. Stability analysis of drum brake based on interval parameters[J]. Journal of Lanzhou University of Technology, 2024, 50(4): 50-54.

References

[1] DENIMAL E,SINOU J J,NACIVET S,et al.Squeal analysis based on the effect and determination of the most influential contacts between the different components of an automotive brake system [J].International Journal of Mechanical Sciences,2019,151:192-213.
[2] 吴帅,张晓艳,王德宸,等.复模态分析在盘式制动器制动异响抑制上的应用 [J].噪声与振动控制,2017,37(1):40-43.
[3] HUANG J C,KROUSGRILL C M,BAJAJj A K.Modeling of automotive drum brakes for squeal and parameter sensitivity analysis [J].Journal of Sound and Vibration,2006,289(1/2):245-263.
[4] ABUBAKAR A R,SHARIF A,RASHID M Z A.Brake squeal:complex eigenvalue versus dynamic transient analysis:2007-01-3964 [R].Orlando:SAE,2007.
[5] 黄泽好,张振华,黄旭,等.鼓式制动器制动不稳定时变特性分析 [J].工程设计学报,2019,26(6):714-721.
[6] BENHAIM Y.A non-probabilistic concept of reliability [J].Structural Safety,1994,14(4):227-245.
[7] 张利军,旁明,唐传骏,等.面向制动尖叫抑制的制动盘稳健型设计 [J].汽车工程学报,2015,3(2):101-107.
[8] Livermore Software Technology Corporation.LS-DYNA keyword user’s manual version 971 [M].Livermore:Livermore Software Technology Corporation,2007.
[9] MYERS R H,MONTGMERY D C,ANDERSON C M.Response surface methodology process and product optimization using designed experiment [M].New Jersey:John Wiley and Sons,2009.
[10] NOUBY M,MATHIVANAN D,SRINIVASAN K.A combined approach of complex eigenvalue analysis and design of experiments (DOE) to study disc brake squeal [J].International Journal of Engineering,Science and Technology,2009,1(1):254-271.
[11] TRICHES-JUNIOR M,GERGES S N Y,JORDAN R.Analysis of brake squeal noise using finite element method [J].Applied Acoustics,2008,69(2):147-162.
[12] HOU J,GUO X X,TAN G F.Complex mode analysis on disc brake squeal and design improvement [C]//SAE 2009 Noise and Vibration Conference and Exhibition.[S.l.]:SAE International Press,2009:2037-2101.
[13] SARROUY E,DESSOMBZ O,SINOU J J.Piecewise polynomial chaos expansion with an application to brake squeal of a linear brake system [J].Journal of Sound and Vibration,2013,332(3):577-594.

[1]	ZHAO Yi-xing, ZHAN Gang-yi, LI Min, LIANG Xin-huan CHEN Zhao-yang, SHI Yu-feng. Optimum analysis of super deep circular foundation pit enclosure structure [J]. Journal of Lanzhou University of Technology, 2024, 50(4): 129-134.
[2]	ZHANG Xiao-ying, SHI Dong-xue, ZHANG Jin, ZHANG Xin. Transient voltage stability assessment of wind power grid connected system based on KPCA feature dimension reduction [J]. Journal of Lanzhou University of Technology, 2024, 50(2): 96-103.
[3]	DENG You-sheng, ZHANG Ke-qin, FENG Zhong-ju, ZHANG Wen WANG Zheng-zhen, ZHAO Hui-ling. Analysis of affecting factors for bearing capacity of foundation pile in salt marsh area based on response surface methodology [J]. Journal of Lanzhou University of Technology, 2024, 50(2): 118-123.
[4]	ZHAI Xiao-cheng, DING Pan, LEI Yu-tao, ZANG Chao-jie, ZHANG Fu-kui, LI Ping. Optimal design of gradation of high-volume RAP plant-mixed hot-recycled asphalt mixture based on response surface methodology [J]. Journal of Lanzhou University of Technology, 2023, 49(6): 119-128.
[5]	GAO Wei, YU Wei, DENGZhao-wen, YI Qiang. Research on vehicle stability based on active steering and aerodynamics control [J]. Journal of Lanzhou University of Technology, 2023, 49(5): 59-66.
[6]	GUO Fei-yan, GUO Gai-hui. Hopf bifurcation and stability for an autocatalytic reversible biochemical reaction model with time delay [J]. Journal of Lanzhou University of Technology, 2023, 49(3): 147-152.
[7]	KANG Yue-nan, GUO Wen-dan, NIE Lin-fei. Dynamics of a Cholera model with environmental transmission and physiological age structure [J]. Journal of Lanzhou University of Technology, 2023, 49(2): 157-164.
[8]	XU Hui, XUE Xiao, LI Kai-yuan, LIU Cui, DENG Ya-shan, ZHANG Yuan-yuan. Optimization of Baeyer-Villiger reaction mediated by lipase for preparation of ε-caprolactone using response surface methodology [J]. Journal of Lanzhou University of Technology, 2022, 48(6): 67-73.
[9]	YAN Min-xiu, XIE Jun-hong, ZHANG Shuai. Chaotic system with multistable and adjustable number of attractors [J]. Journal of Lanzhou University of Technology, 2022, 48(6): 88-95.
[10]	ZHANG Ren-hui, LIU Gui-hong, WEI Xiao-xiao, MENG Fan-rui. Coupling optimization analysis of casing profile in suction and exhaust for liquid-ring vacuum pump [J]. Journal of Lanzhou University of Technology, 2022, 48(5): 35-42.
[11]	WANG Jiang-ping, XI Hong-bing, LI Bo-sheng, YANG Xiao-yu. Research and analysis on influencing factors of slope stability with rainfall infiltration field distribution [J]. Journal of Lanzhou University of Technology, 2022, 48(5): 142-147.
[12]	YUAN Zhong-xia, LI De-peng, YE Shuai-hua. Stability analysis of high fill slope with loess under earthquake and rainfall infiltration [J]. Journal of Lanzhou University of Technology, 2022, 48(4): 119-125.
[13]	LI Qiu-ying. A model of single-specie with time lag and contraception control [J]. Journal of Lanzhou University of Technology, 2022, 48(4): 152-156.
[14]	XUE Xiao, LI Kai-yuan, LIU Cui, DENG Ya-shan, XU Hui, WANG Fan-ye. Preparation of mitomycin analogs mediated by laccase/lipase and optimization using response surface method [J]. Journal of Lanzhou University of Technology, 2022, 48(3): 71-76.
[15]	ZHAO Xiang-yang, WU Qi-bin. Cooperative optimization of ride comfort and handling stability of semi-trailer tractor based on improved genetic algorithm [J]. Journal of Lanzhou University of Technology, 2022, 48(2): 61-66.