接触刚度对制动摩擦块时域-频域响应的影响
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摘要
考虑Stribeck效应的摩擦力,建立摩擦块-制动盘耦合动力学方程。应用Runge-Kutta法和有限差分法数值模拟相对移动作用下的系统振动。主要分析摩擦块切向运动的动力学特性,揭示表面接触刚度比对其Hopf分岔的影响,并应用时域-频域分析方法得出摩擦块动力学特性随制动盘转动速度变化的规律,分析其黏滑振动机理。
Equations of motion of a disc-pad coupling brake system considering the Stribeck-type friction force were established. A simulation procedure was adopted using the finite difference method and the Runge-Kutta method to deal with the moving interactions. This paper was focused on the pad's tangential response, revealing the influences of the contact stiffness on its Hopf bifurcation. Factors of frictional dynamic principle, mechanism of stick-slip flutter were discussed by the time-frequency analysis.
Equations of motion of a disc-pad coupling brake system considering the Stribeck-type friction force were established. A simulation procedure was adopted using the finite difference method and the Runge-Kutta method to deal with the moving interactions. This paper was focused on the pad's tangential response, revealing the influences of the contact stiffness on its Hopf bifurcation. Factors of frictional dynamic principle, mechanism of stick-slip flutter were discussed by the time-frequency analysis.
引文
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[17]主安成.盘式制动器制动噪声机理研究及其声场的数值模拟[D].福州:福州大学,2006.
[18]李建熹.盘式制动尖叫噪声及制动片界面修饰降噪研究[D].成都:西南交通大学,2017.
[2]刘丽兰,刘宏昭,赵会荣,等.机械系统中黏滑摩擦研究进展[J].机械科学与技术,2016,35(5):662-671.LIU Lilan,LIU Hongzhao,ZHAO Huirong,et al.Review on stick-slip friction in mechanical system[J].Mechanical Science and Technology for Aerospace Engineering,2016,35(5):662-671.
[3]黄毅,丁千.内共振系统的干摩擦自激振动[J].振动与冲击,2008,27(5):103-104.HUANG Yi,DING Qian.The self-excited vibration of a dryfriction system with internal resonances[J].Journal of Vibration and Shock,2008,27(5):103-104.
[4]丁千,翟红梅.机械系统摩擦动力学研究进展[J].力学进展,2013,43(1):112-131.DING Qian,ZHAI Hongmei.The advance in researches of friction dynamics in mechanics system[J].Advances in Mechanics,2013,43(1):112-131.
[5]ZHAO Y,DING Q.Dynamic analysis of dry frictional disc brake system based on the rigid-flexible coupled model[J].International Journal of Applied Mechanics,2015,7(3):1550044.
[6]BELOIU D M,IBRAHIM R A.Analytical and experimental investigations of disc brake noise using the frequency-time domain[J].Structural Control&Health Monitoring,2006,13(1):277-300.
[7]李金录,丁千.局部约束结构振动的模态研究[J].振动与冲击,2015,34(4):98-103.LI Jinlu,DING Qian.Modal approach for vibration of a structure with local constraints[J].Journal of Vibration and Shock,2015,34(4):98-103.
[8]杨凤红,张伟.盘式制动系统的非线性动力学分析[J].振动与冲击,2009,28(6):93-94.YANG Fenghong,ZHANG Wei.Nonlinear dynamical analysis for a disc braking system[J].Journal of Vibration and Shock,2009,28(6):93-94.
[9]YANMENI WAYOU A N,TCHOUKUEGNO R,WOAFO P.Non-linear dynamics of an elastic beam under moving loads[J].Journal of Sound and Vibration,2004,273(4/5):1101-1108.
[10]李慧乐,夏禾,郭薇薇.移动荷载作用下简支梁共振与消振机理研究[J].工程力学,2013,30(7):47-54.LI Huile,XIA He,GUO Weiwei.Study on mechanism of resonance and vibration cancellation for simply-supported beam under moving loads[J].Engineering Mechanics,2013,30(7):47-54.
[11]CHEN L Q,WU J,ZU J W.Asymptotic nonlinear behaviors in transverse vibration of an axially accelerating viscoelastic string[J].Nonlinear Dynamics,2004,35(4):347-360.
[12]OUYANG H,MOTTERSHEAD J E,LI W.A moving-load model for disc-brake stability analysis[J].Journal of Vibration and Acoustics,2003,125(1):53.
[13]LI Z L,OUYANG H,GUAN Z Q.Friction-induced vibration of an elastic disc and a moving slider with separation and reattachment[J].Nonlinear Dynamics,2016,87(2):1045-1067.
[14]李博,丁千,陈艳.刹车系统摩擦自激振动的数值研究[J].科技导报,2007,25(23):28-32.LI Bo,DING Qian,CHEN Yan.Numerical study on the selfexcited vibration of disc brake system[J].Science&Technology Review,2007,25(23):28-32.
[15]韩秋实,许宝杰,雷纪刚.刹车装置摩擦噪声的动力学模型及理论分析[J].北京机械工业学院学报,1999,14(2):1-5.HAN Qiushi,XU Baojie,LEI Jigang.The dynamicmodel and theoretical analyse of the frictional noise of disc brake[J].Journal of Beijing Institute of Machinery,1999,14(2):1-5.
[16]张佳慧,冯奇.Sprag_slip现象实验设计及初探[J].噪声与振动控制,2008,28(6):92-96.ZHANG Jiahui,FENG Qi.The experiment design and preliminary investigation for sprag-slip phenomena[J].Noise and Vibration Control,2008,28(6):92-96.
[17]主安成.盘式制动器制动噪声机理研究及其声场的数值模拟[D].福州:福州大学,2006.
[18]李建熹.盘式制动尖叫噪声及制动片界面修饰降噪研究[D].成都:西南交通大学,2017.