制动盘的约束模态与自由模态对比分析
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- 英文论文题名：Comparison between the Free and Constrained Modal Characteristics of Brake Rotor
- 论文作者：张立军 ; 唐传骏 ; 庞明 ; 孟德健 ; 余卓平
- 英文论文作者：Zhang Lijun~(1 ; 2) Tang Chuanjun~(1 ; 2) Pang Ming~(1 ; 2) Meng Dejian~(1 ; 2) Yu Zhuoping~(1 ; 2) 1.New Clear Energy Automotive Engineering Center 2.School of Automotive Engineering ; Tongji University
- 年：2013
- 作者机构：同济大学新能源汽车工程中心;同济大学汽车学院;
- 论文关键词：制动盘 ; 自由模态分析 ; 约束模态分析 ; 面外模态 ; 面内模态 ; 复合模态
- 英文论文关键词：Brake rotor ; Free modal analysis ; Constrained modal analysis ; In-plane mode ; Out-of-plane mode ; Combined mode
- 会议召开时间：2013-11-26
- 会议录名称：2013中国汽车工程学会年会论文集
- 英文会议录名称：Proceedings of 2013 SAE-China Congress
- 语种：中文
- 分类号：U463.512
- 学会代码：QCGC
- 会议名称：2013中国汽车工程学会年会
- 会议地点：中国北京
- 主办单位：中国汽车工程学会
- 学会名称：中国汽车工程学会
- 页数：9
- 文件大小：304k
- 原文格式：O
- 会议级别：全国
摘要
制动盘的结构模态特性是影响制动尖叫的最关键结构因素之一。本文提出了一种新的制动盘的结构模态规范化分类与描述方法;建立了某通风盘式制动器制动盘的有限元模型,并利用模态试验验证模型的正确性。通过细致对比制动盘约束模态和自由模态在模态频率和模态振型方面的不同,揭示了约束条件对制动盘的结构模态特性的影响机制。分析发现:帽部螺栓孔的位侈约束对制动盘的帽部振动模态和盘帽组合模态的影响很大,而对盘面振动模态的影响很小;施加约束会使模态频率增加,源于约束施加引起的等效刚度增加效应。
The modal characteristic of brake rotor is one of most important structural factors influencing the brake squeal.In this paper,a novel,canonical classification and description method of rotor mode shapes was presented.The finite element model of brake rotor of a ventilated disc brake was established,and its correctness was validated by modal test.The difference between the free and constrained modal characteristics was carefully investigated,to reveal the impact mechanism of constrained conditions on modal characteristics.It was found that,the three-dimensional displacement constrain of the bolt holes can greatly influence the hat-related modes,but has little impact on the disc-related only modes.And the constrained conditions may increase the modal frequencies as the equivalent stiffness increase due to structure constrain.
The modal characteristic of brake rotor is one of most important structural factors influencing the brake squeal.In this paper,a novel,canonical classification and description method of rotor mode shapes was presented.The finite element model of brake rotor of a ventilated disc brake was established,and its correctness was validated by modal test.The difference between the free and constrained modal characteristics was carefully investigated,to reveal the impact mechanism of constrained conditions on modal characteristics.It was found that,the three-dimensional displacement constrain of the bolt holes can greatly influence the hat-related modes,but has little impact on the disc-related only modes.And the constrained conditions may increase the modal frequencies as the equivalent stiffness increase due to structure constrain.
引文
[1]Hoffmann N,Gaul L.Friction induced vibrations of brakes:Research fields and activities[C/CD]//SAE Paper,[S.1.]:SAE:2008-01-2579.
[2]吕红明,张立军,余卓平.汽车盘式制动器尖叫研究进展[J].振动与冲击,2011,30(4):1-7.
[3]管迪华,宿新东.制动振动噪声研究的回顾、发展与评述[J].工程力学,2004,21(4):150-155.
[4]蒋东鹰,管迪华.用闭环耦合模型对盘式制动器制动尖叫的研究[J].清华大学学报:自然科学版,1998, 38(8):88-91.
[5]宿新东,管迪华.利用于结构动态特性优化设计抑制制动器尖叫[J].汽车工程,2003,25(2): 167-170.
[6]H Ouyang,Q Cao,J E Mottershead,T Treyde. Vibration and squeal of a disc brake:modeling and experimental results[J].Journal of Automobile ??Engineering(S0954-4070),2003,217(10): 867-875.
[7]H Lee,R Singh.Vibro-acoustics of a brake rotor with focus on squeal noise[C].The 2002 International Congress and Exposition on Noise Control Engineering, Dearborn,MI,USA.USA:2002:1-6.
[8]J C BAE,A WICKERT.Free vibration of coupled disk hat structures[J].Journal of Sound and Vibration (S0022-460X),2000,235(1):117-132.
[9]田红涛.基于ANSYS的盘式制动器振动噪声分析与研究[D].湖北:武汉理工大学,2008.
[10]魏涛.基于ANSYS的盘式制动器结构分析及振动噪声研究[D].吉林:吉林大学,2007.
[11]Q.Cao,H.Ouyang,M.I.Friswell,J.E.Motte-rshead. Linear eigenvalue analysis of the disc brake squeal problem[J].International Journal For Numerical Methods in Engineering,2004,61(9): 1546-1563.
[12]王登峰,王玉为.盘式制动器制动尖叫的有限元分析与试验[J].汽车工程,2007,29(8):705-718.
[13]Tomohiro Yokoyama,Toru Matsushima,Noriyoshi Matsui, Ryutaro Misumi.A study of reduction for brake squeal in disc in plane mode[C].SAE Paper,2012-01-1825.
[14]A.R.Abu Bakar,H.Ouyang,D.Titeica,M.K. A.Hamid.Modelling and simulation of disc brake contact analysis and squeal[D].Department of Engineering,University of Liverpool,UK,2005.
[15]H.Ouyang,Q.Cao,J.E.Mottershead,T.Treyde. Vibration and squeal of a disc brake:modeling and experimental results[J].IMechE J.Autom.Eng., 2003,217(10):867-875.
[16]Q.Cao,H.Ouyang,M.I.Friswell,J.E.Mott-ershead. Linear eigenvalue analysis of the disc brake squeal problem[J].Int.J.Numer.Meth.Eng., 2004,(61):1546-1563.
[17]0.Giannini,A.Akay,F.Massi.Experimental analysis of brake squeal noise on a laboratory brake set-up [J].Sound Vibration,2006,(292):1-20.
[18]P.Casini,O.Giannini,F.Vestroni.Experimental evidence of non-standard bifurcations in non-smooth oscillator dynamics[J].Nonlinear Dyn.,2006,(46): 259-272.
[19]T.Jearsiripongkul,P.Hagedorn.Parameter estimation ??of the disk in a floating caliper disk brake model with respect to squeal[J].Proc.Appl.Math.Mech., 2004,(4):93-94.
[20]Kung,S.- W.,K.B.Dunlap,R.S.Ballinger. Complex eigenvalue analysis for reducing low frequency brake squeal[C].SAE Paper,2000-01-0444.
[21]M.Masoomi,A.A.Katbab,H.Nazockdast.Noise generation and propagation control in disc brake systems using composite friction materials composed of thermoplastic elastomers as viscoelastic materials[J]. Polym.Compos.,2006,(27):461 -469.
[22]Y.G.Joe,B.G.Cha,H.J.Sim,H.J.Lee J. E.Oh.Analysis of disc brake instability due to friction-induced vibration using a distributed parameter model [J].Int.J.Automotive Technology,2008,9(2): 161 -171.
[23]M.J.Triches Jr.,S.N.Y.Gerges,R.Jordan. Reduction of squeal noise from disc brake systems using constrained layer damping[J].ABCM J.Braz.Soc. Mech.Sci.Eng.,2004,XXVI(3):340-348.
[24]H.Lee.Modal acoustic radiation characteristics of a thick annular disk[D].The Ohio State University,2003.
[25]王登峰,王玉伟,陈晓春,赵继业.制动盘的纵波模态对制动尖叫声影响研究[J].汽车技术,2008, (1):9-12.
[2]吕红明,张立军,余卓平.汽车盘式制动器尖叫研究进展[J].振动与冲击,2011,30(4):1-7.
[3]管迪华,宿新东.制动振动噪声研究的回顾、发展与评述[J].工程力学,2004,21(4):150-155.
[4]蒋东鹰,管迪华.用闭环耦合模型对盘式制动器制动尖叫的研究[J].清华大学学报:自然科学版,1998, 38(8):88-91.
[5]宿新东,管迪华.利用于结构动态特性优化设计抑制制动器尖叫[J].汽车工程,2003,25(2): 167-170.
[6]H Ouyang,Q Cao,J E Mottershead,T Treyde. Vibration and squeal of a disc brake:modeling and experimental results[J].Journal of Automobile ??Engineering(S0954-4070),2003,217(10): 867-875.
[7]H Lee,R Singh.Vibro-acoustics of a brake rotor with focus on squeal noise[C].The 2002 International Congress and Exposition on Noise Control Engineering, Dearborn,MI,USA.USA:2002:1-6.
[8]J C BAE,A WICKERT.Free vibration of coupled disk hat structures[J].Journal of Sound and Vibration (S0022-460X),2000,235(1):117-132.
[9]田红涛.基于ANSYS的盘式制动器振动噪声分析与研究[D].湖北:武汉理工大学,2008.
[10]魏涛.基于ANSYS的盘式制动器结构分析及振动噪声研究[D].吉林:吉林大学,2007.
[11]Q.Cao,H.Ouyang,M.I.Friswell,J.E.Motte-rshead. Linear eigenvalue analysis of the disc brake squeal problem[J].International Journal For Numerical Methods in Engineering,2004,61(9): 1546-1563.
[12]王登峰,王玉为.盘式制动器制动尖叫的有限元分析与试验[J].汽车工程,2007,29(8):705-718.
[13]Tomohiro Yokoyama,Toru Matsushima,Noriyoshi Matsui, Ryutaro Misumi.A study of reduction for brake squeal in disc in plane mode[C].SAE Paper,2012-01-1825.
[14]A.R.Abu Bakar,H.Ouyang,D.Titeica,M.K. A.Hamid.Modelling and simulation of disc brake contact analysis and squeal[D].Department of Engineering,University of Liverpool,UK,2005.
[15]H.Ouyang,Q.Cao,J.E.Mottershead,T.Treyde. Vibration and squeal of a disc brake:modeling and experimental results[J].IMechE J.Autom.Eng., 2003,217(10):867-875.
[16]Q.Cao,H.Ouyang,M.I.Friswell,J.E.Mott-ershead. Linear eigenvalue analysis of the disc brake squeal problem[J].Int.J.Numer.Meth.Eng., 2004,(61):1546-1563.
[17]0.Giannini,A.Akay,F.Massi.Experimental analysis of brake squeal noise on a laboratory brake set-up [J].Sound Vibration,2006,(292):1-20.
[18]P.Casini,O.Giannini,F.Vestroni.Experimental evidence of non-standard bifurcations in non-smooth oscillator dynamics[J].Nonlinear Dyn.,2006,(46): 259-272.
[19]T.Jearsiripongkul,P.Hagedorn.Parameter estimation ??of the disk in a floating caliper disk brake model with respect to squeal[J].Proc.Appl.Math.Mech., 2004,(4):93-94.
[20]Kung,S.- W.,K.B.Dunlap,R.S.Ballinger. Complex eigenvalue analysis for reducing low frequency brake squeal[C].SAE Paper,2000-01-0444.
[21]M.Masoomi,A.A.Katbab,H.Nazockdast.Noise generation and propagation control in disc brake systems using composite friction materials composed of thermoplastic elastomers as viscoelastic materials[J]. Polym.Compos.,2006,(27):461 -469.
[22]Y.G.Joe,B.G.Cha,H.J.Sim,H.J.Lee J. E.Oh.Analysis of disc brake instability due to friction-induced vibration using a distributed parameter model [J].Int.J.Automotive Technology,2008,9(2): 161 -171.
[23]M.J.Triches Jr.,S.N.Y.Gerges,R.Jordan. Reduction of squeal noise from disc brake systems using constrained layer damping[J].ABCM J.Braz.Soc. Mech.Sci.Eng.,2004,XXVI(3):340-348.
[24]H.Lee.Modal acoustic radiation characteristics of a thick annular disk[D].The Ohio State University,2003.
[25]王登峰,王玉伟,陈晓春,赵继业.制动盘的纵波模态对制动尖叫声影响研究[J].汽车技术,2008, (1):9-12.