摩擦尖叫噪声有限元预测分析的可靠性研究

使用相同的制动系统,分别建立了基于ABAQUS和NASTRAN的制动摩擦尖叫噪声有限元预测分析模型.基于ABAQUS的摩擦尖叫噪声模型利用接触耦合关系计算法向力,不需要在接触界面假设接触弹簧.基于NASTRAN的摩擦尖叫噪声模型根据罚函数法计算法向力,需要在接触界面假设接触弹簧.比较了这2种模型的计算结果,发现即使这2个模型采用相同的有限元网格,计算预测到的不稳定频率(即实部为正的复特征值虚部)通常不同,且NASTRAN建模方法只能部分预测到中高频尖叫噪声.计算结果显示,当接触弹簧刚度大于等于3.2×109 N/m时,NASTRAN模型的预测结果基本相同;有限元网格尺寸和单元类型对计算结果也有较大的影响.     

降低制动摩擦振动的制动器结构拓扑优化设计

本文建立起某车型盘式制动系统三维有限元模型,分析了该制动系统的摩擦振动噪声特性,并基于ABAQUS/Optimization模块对该制动系统进行结构拓扑优化设计,在满足轻量化的目标要求下改善摩擦振动噪声问题.结果表明:制动系统在摩擦力作用下可能出现四种振动模态,且产生频率为3632.4 Hz的振动噪声的倾向和强度最大.产生该频率摩擦振动噪声的原因是由于制动钳的第4阶模态频率与制动盘的第11阶模态频率非常接近,在摩擦力作用下容易产生共振.通过对制动钳进行结构拓扑优化设计,移除制动钳两侧区域的材料,使其在满足重量最小的目标前提下将第4阶模态频率降低到2804 Hz,从而避免与制动盘发生共振,且制动钳的重量减轻了17.1％.进一步采用复特征值分析对结构优化后的制动系统进行摩擦振动噪声特性预测,结果表明制动系统仅有两组相邻模态出现模态耦合现象,且原始制动系统出现的3632.4 Hz的振动噪声频率已经消失,制动系统摩擦振动噪声问题得到显著改善.     

盘式制动器复模态摩擦耦合制动稳定性分析

为研究影响汽车制动噪声的因素,以通风盘式制动器为研究对象,应用有限元软件ABAQUS,建立制动尖叫有限元模型,通过自由模态试验及制动尖叫台架试验验证了模型正确性,进行复特征值分析和自由模态分析,探讨系统部件自由模态与摩擦耦合模态的关系,摩擦系数及制动系统关键部件刹车盘刹车片的弹性模量对制动稳定性的影响,结果显示在摩擦耦合作用下,系统中固有频率接近的部件产生模态耦合,导致系统不稳定振动;系统摩擦系数越大,摩擦耦合程度也越大,系统不稳定性越大,但主振频率不变;刹车盘和刹车片弹性模量增大分别起到增强和削弱摩擦耦合对系统不稳定性的影响。     

利用不稳定系数TOI分析盘式制动器噪声

针对某型号车辆前轮盘式制动器低速制动时出现的制动噪声现象,应用ABAQUS软件,建立由制动盘、制动支架及摩擦衬块组成的盘式制动器有限元模型。通过对关键零部件自由模态仿真分析和模态的锤击试验,验证有限元模型的准确性。利用复特征值法,结合系统不稳定系数TOI,分析摩擦因数、材料弹性模量、制动衬块厚度参数变化量对盘式制动器制动噪声特性参数的影响规律。优化制动盘和摩擦片的结构,装车试验后解决了制动噪声问题。     

踏面制动尖叫噪声的有限元分析

利用ABAQUS软件建立铁路货车车轮踏面制动系统有限元模型,对其进行制动摩擦尖叫噪声的有限元复特征值分析.根据复特征值实部的正负判断系统发生尖叫噪声的可能性,如果有实部为正的特征值,则可判断系统有发生尖叫噪声的趋势.在ABAQUS建模方法中,闸瓦与车轮之间的法向力根据接触计算确定,不需假设接触弹簧,可以方便处理非平面滑动接触尖叫噪声问题.利用该模型,研究滑动摩擦因数、闸瓦压力角、闸瓦压力和转动方向对尖叫噪声的影响.研究结果显示,闸瓦压力角对制动尖叫噪声有重要影响,当闸瓦压力角α=5°时,制动系统发生尖叫噪声的影响.研究结果显示,摩擦因数越大,系统发生尖叫噪声的趋势就越大;闸瓦压力越大,尖叫噪声发生的趋势就越大.车轮逆时针转动比顺时针转动更容易引起尖叫噪声.     

轮轨曲线尖叫噪声有限元预测方法的研究

利用ABAQUS有限元软件,对车辆经过小半径曲线时的尖叫噪声进行有限元预测分析.建立了包括车轮、钢轨和钢轨支撑弹簧的有限元动力学模型.根据车轮通过小半经曲线时横向蠕滑力饱和的实际情况,假设横向蠕滑力等于摩擦因数乘以法向力,通过摩擦力耦合建立车轮和钢轨耦合的动力学方程.对此动力学方程进行稳定性分析,得出耦合系统动力学特征方程的复特征值.根据是否存在实部为正的复特征值,从而判断系统是否有发生曲线尖叫噪声的趋势.计算结果显示,当轮轨摩擦因数比较大时,系统存在实部为正的复特征值,说明此时轮轨系统存在发生曲线尖叫噪声的可能性.此外,钢轨端部不同约束条件对曲线尖叫噪声预测结果有一定的影响.     

盘式制动器制动噪声分析

针对某型号盘式制动器,应用ABAQUS软件,建立由制动盘、制动支架及两个摩擦块组成的简化有限元模型,通过各零件的自由模态有限元分析,得到各部件的固有频率,并开展其模态的锤击试验,对比验证了简化有限元模型的正确性。基于有效的有限元简化模型和复模态理论,进行复特征值有限元分析,并对比了制动噪声台架试验检测的不稳定频率与有限元分析结果,两者具有较好的一致性。     

基于复模态有限元的湿式制动器制动噪声预测研究

针对湿式多片盘式制动器在制动过程中产生振动噪声的问题,通过引入制动器摩擦片和对偶钢片之间的阻尼和刚度,考虑摩擦片和对偶钢片之间由于时滞引起的微小相对位移以及相对位移所产生摩擦阻力的影响,及制动部件的接触摩擦关系,利用非线性接触运动学,提出了湿式制动器制动噪声分析模型,并用复模态有限元仿真分析去验证这种模型的准确性。结果表明,该模型能够较准确地预测制动系统发生制动噪声的趋势,具有重要的工程意义。     

摩擦片偏磨引起的汽车制动低鸣噪声

建立后盘式制动器有限元模型,对其进行制动低鸣噪声的有限元复特征值分析。根据系统的负阻尼比预测系统出现制动噪声的趋势。利用该模型,研究摩擦片切向偏磨对制动噪声的影响。研究结果表明,切向偏磨是引起制动低鸣噪声的主要原因。当偏磨量大于0.5 mm时,系统的负阻尼比突变,说明发生制动低鸣噪声的可能性极大;同时该噪声的出现与制动压力、摩擦滑动方向、摩擦因数有特定的关系。该计算结果与噪声试验结果完全一致,为消除该制动低鸣噪声提供了理论依据和指导。     

面向制动噪声的盘式制动器有限元复模态分析

结合复模态分析理论和有限元法,在ANSYS平台上,利用自定义的摩擦单元实现了制动盘和制动块间的摩擦耦合,并用约束方程实现了盘式制动器中其它部件间的连接,建立了盘式制动器的有限元模型.最后以某典型盘式制动器为例计算了18kHz以下的复模态,并分析了其与制动噪声的关系.     

闸片沟槽织构对盘式制动尖叫的影响

为研究制动闸片沟槽织构对盘式制动系统制动尖叫的影响,基于摩擦自激振动理论,建立盘式制动系统普通闸片和沟槽闸片有限元模型,采用复特征值分析法研究该盘式制动系统的摩擦自激振动特性。利用该有限元模型开展沟槽的宽度和深度的参数化分析,获得其对制动尖叫的影响规律。结果表明：制动闸片与制动盘间的摩擦自激振动是导致制动尖叫发生的主要原因,沟槽型闸片对抑制制动尖叫具有明显效果;当闸片沟槽深度在5~20 mm区间内,盘式制动系统的稳定性随沟槽深度的增大而呈现逐渐降低的趋势,表明沟槽深度越小,发生摩擦自激振动的可能性越小;在沟槽宽度5~20 mm范围内,随沟槽宽度的增大,盘式制动系统的稳定性先增大后降低,在沟槽宽度为10 mm时,系统发生制动噪声的可能达到最大。     

Squeal analysis of gyroscopic disc brake system based on finite element method

In this paper, the dynamic instability of a car brake system with a rotating disc in contact with two stationary pads is studied. For actual geometric approximation, the disc is modeled as a hat-disc shape structure by the finite element method. From a coordinate transformation between the reference and moving coordinate systems, the contact kinematics between the disc and pads is described. The corresponding gyroscopic matrix of the disc is constructed by introducing the uniform planar-mesh method. The dynamic instability of a gyroscopic non-conservative brake system is numerically predicted with respect to system parameters. The results show that the squeal propensity for rotation speed depends on the vibration modes participating in squeal modes. Moreover, it is highlighted that the negative slope of friction coefficient takes an important role in generating squeal in the in-plane torsion mode of the disc.     

CRH2盘形制动系统制动尖叫噪声研究

为了研究高速动车组的制动尖叫噪声,建立CRH2拖车盘形制动系统的摩擦耦合有限元模型,对其进行运动稳定性和制动自激振动的瞬态动力学分析,研究了摩擦因数、闸片以及制动盘弹性模量对制动系统尖叫噪声的影响。结果表明：随着摩擦因数μ的增大,盘形制动系统发生制动尖叫噪声的趋势增加;随着闸片弹性模量的增大,制动系统发生制动尖叫噪声的趋势增加,并且激发的噪声频率也明显变大;随着制动盘弹性模量增大,制动系统发生制动尖叫噪声的趋势先降低后增大。     

Comparative Study on the Complex Eigenvalue Prediction of Brake Squeal by Two Infinite Element Modeling Approaches

The complex eigenvalue analysis is currently a common approach to predict squealing vibration and noise. There are two methods for modeling friction contact in the complex eigenvalue analysis of friction systems. In one method, contact springs are used to simulate friction contact. In another method, no contact spring is used. However, it has been uncertain whether these two modeling methods can predict approximately identical results. In order to clarify the uncertainty, two finite element models of the same brake system for the brake squeal prediction are established and simulated by using ABAQUS and NASTRAN software tools, respectively. In the ABAQUS model, friction coupling is applied to determine normal contact force and no contact spring is assumed. Whilst in the NASTRAN model, the contact spring is assumed by the penalty method to simulate contact connection. Through the numerical simulations, it is recognized that even if the same mesh geometry is applied, generally, these two finite element approaches are not capable of predicting approximately identical unstable frequencies. The ABAQUS approach can predict instabilities of high frequency up to 20 kHz or more, while the NASTRAN approach can only predict some instabilities of high frequency, not all. Moreover, the simulation results also show that both the contact spring stiffness and mesh size have influences to some extent on the prediction results of squeal. The present comparative work illuminates that the modeling method without contact springs is more suitable to predict squealing vibration and noise, comparing to the modeling method with contact springs. It is proposed that one should prefer using the modeling method without contact springs to predict squealing vibration and noise. The proposed study provides the reference for predicting squealing vibration and noise.     

Evaluation of Disc Brake Materials for Squeal Reduction

A nontraditional evaluation tool is introduced to examine the effects of different materials, in practical applications, that are used in fabricating disc brake components for commonly used or special requirements such as heavy-duty performance and racing cars. As an extension to earlier finite element (FE) disc brake models, a detailed FE model of the whole disc brake corner that incorporates the wheel hub and steering knuckle is developed and validated using experimental modal analysis. Stability analysis of the disc brake corner using the finite element software ABAQUS is carried out to predict squeal occurrence also taking into account the negative and positive damping effects and friction material real surface to increase the accuracy of prediction. A Taguchi method–based design of experiment is used to better assess the contributions of different materials and its interaction effects for effective reduction of brake squeal. The results showed that the pad friction material contributes 56% to the total system instability (squeal generation). The rotor material contributes 22% of the system instability. Caliper and bracket materials participate 11 and 11%, respectively.     

Brake squeal: Linear and nonlinear numerical approaches

“Brake squeal” groups a large set of high-frequency sound emissions from brake systems. They are generated during the braking phase and are characterized by a harmonic spectrum. The onset of squeal is due to an unstable behaviour occurring in linear conditions during the braking phase, and a general approach used by several authors to determine the system instabilities is the complex eigenvalues analysis. When the brake begins to squeal, the response of the system reaches a new limit cycle where the linear models cannot be used anymore. This paper presents the integration of two different numerical procedures to identify the mechanism bringing to squeal instability and to analyse its dynamics. The first approach is a finite element modal analysis of the brake system and is used to identify its eigenvalues and to relate them to the squeal occurrence. The second one is a specific finite element programme, Plast3, appropriate for nonlinear dynamic analyses in the time domain and is particularly addressed to study contact problems with friction between deformable bodies. This programme computes the contact stresses and permits to determine the dynamics of the system along the contact surface, both in the linear and nonlinear fields. The two models are compared and the onset of squeal is predicted both in the frequency domain by the linear model and in the time domain by the nonlinear one. The instability predictions, obtained by the two models, are discussed. To simplify the dynamics of its components, the study is carried out on a simple model, made of a disc, a small friction pad and a beam supporting the pad. The geometry of the model is related to an experimental set-up used to validate the models and to compare the numerical results with the experiments.     

Finite element modeling for stick-slip pattern of squeal modes in disc brake

This paper provides the finite element modeling for describing the nonlinear stick-slip response of squealing modes in a disc brake system. The analytical nonlinear contact kinematics is applied to each contact node of the finite element disc and pads. Numerical results show that a portion of the contact area can undergo the stick-slip oscillation. Depending on the size of the stick-slip zone, the corresponding squeal vibration can be either the pure harmonic or periodic oscillation. Particularly, the squeal mode arising from the pad rigid mode generates the periodic stick-slip limit cycle in its steady-squealing response, as opposed that the disc squeal modes become the pure harmonic response.     

基于盘／销装置的摩擦尖叫噪声研究

为了研究摩擦尖叫的产生机理,利用汽车制动盘、摩擦材料及铝合金圆销设计了一种长度可调的盘／销摩擦试验装置,进行了不同销长的摩擦尖叫试验。基于盘／销零件的约束模态试验结果,建立了装置的有限元模型。利用复特征值分析方法研究了销长、摩擦因数、载荷、速度和材料特性等因素对摩擦尖叫噪声的影响。结果表明：当圆销和制动盘间弯曲模态频率相近时会形成模态耦合,系统不稳定,产生摩擦尖叫噪声;通过改进系统结构、适当降低摩擦因数和调整材料特性可以减轻或消除摩擦尖叫。     

Brake squeal analysis by coupling spectral linearization and modal identification methods

Brake squeal is induced by self-excited vibrations, consequences of local nonlinearities at the contact interface. This paper deals with a new way to analyze the brake squeal behavior. The proposed method is based on a spectral linearization of the brake nonlinear dynamic response with unilateral contact and friction conditions. The approach enables to identify modal parameters of an equivalent linear system by a combination of the random decrement technique and the Ibrahim time domain method. It is applied to the analysis of a pad/beam squealing contact. The obtained results are compared to the classical complex eigenvalues analysis and nonlinear temporal dynamic finite element analysis ones.     

盘式制动器的结构场有限元分析

首先探讨盘式制动器在制动过程中的摩擦接触和非线性动力学问题.具体的分析方法包括:摩擦接触算法,非线性有限元方法.按照制动盘与摩擦片的实际几何尺寸,建立了具有速度可变效应的三维瞬态结构应力有限元模型,利用非线性有限元方法,较真实地模拟了制动器的制动过程.通过以上分析得出制动过程的一些结构上的性能变化.将同相同制动条件下的实心盘式制动器和通风盘式制动器对比,得出通风盘式制动器在制动过程中的接触应力,各向位移等.