Practical Frequency and Time Optimal Design of Passive Linear Vibration Isolation Mounts

Summary In this paper we examine a linear one-degree of freedom vibration isolator mount. The linearity of the system allows us to analyze its frequency and time response characteristics analytically. Optimal damping and stiffness values for the isolator are obtained by minimizing certain cost functions, which are the Root Mean Square (RMS) of the absolute acceleration and the relative displacement. These RMS cost functions are used to create a design chart for the isolator parameters. This is very useful particularly in the presence of physical constraints such as a limit in relative displacement. The time response of the system for a unit step input is also considered to gain an insight into the transient characteristics of the system. We obtain an optimal value for the damping ratio of the system in order to minimize the transmitted acceleration. Combining the frequency and time response analyses leads to an optimal value for the mount natural frequency and damping ratio satisfying both time and frequency domains. The results are verified numerically using measured acceleration as input.     

基于ADAMS/Car弹性运动学对整车分析的影响

ADAMS软件提供了柔性体模块,可真实地模拟物体的运动,文章以某轿车为研究对象,利用ADAMS仿真软件建立了带有弹性下控制臂悬架的整车模型。选择开环转向事件里的转向阶跃输入进行仿真分析,在后处理中对横摆角速度、车速、侧向加速度和纵向加速度进行分析。结果表明,柔性体悬架模型比多刚体悬架模型对车身的横摆角速度、侧向加速度、纵向加速度以及速度等具有更好的抑制作用,有利于提高汽车操纵稳定性。     

Introducing a new semi-active engine mount using force controlled variable stiffness

This work introduces a new concept in designing semi-active engine mounts. Engine mounts are under continuous development to provide better and more cost-effective engine vibration control. Passive engine mounts do not provide satisfactory solution. Available semi-active and active mounts provide better solutions but they are more complex and expensive. The variable stiffness engine mount (VSEM) is a semi-active engine mount with a simple ON–OFF control strategy. However, unlike available semi-active engine mounts that work based on damping change, the VSEM works based on the static stiffness change by using a new fast response force controlled variable spring. The VSEM is an improved version of the vibration mount introduced by the authors in their previous work. The results showed significant performance improvements over a passive rubber mount. The VSEM also provides better vibration control than a hydromount at idle speed. Low hysteresis and the ability to be modelled by a linear model in low-frequency are the advantages of the VSEM over the vibration isolator introduced earlier and available hydromounts. These specifications facilitate the use of VSEM in the automotive industry, however, further evaluation and developments are needed for this purpose.     

Vibration Control of a Passenger Vehicle Utilizing a Semi-Active ER Engine Mount

This paper presents vibration control of a passenger vehicle using an electronically controllable electro-rheological (ER) engine mount. A mixed-mode ER engine mount operating under the flow and shear modes is devised and manufactured. After establishing the dynamic model of the proposed ER engine mount, both field-dependent displacement transmissibility and dynamic stiffness of the ER engine mount are empirically evaluated. The ER engine mount is then incorporated with a full-vehicle model in order to investigate vibration control performance at the driver's seat position. The governing equation of motion of the full-vehicle model is formulated by considering engine excitation force, followed by designing a skyhook controller to attenuate unwanted vibration. The controller is implemented through a hardware-in-the-loop simulation (HILS), and control responses such as acceleration level at idle speed are evaluated in the frequency and time domains.     

Vibration Control of a Passenger Vehicle Utilizing a Semi-Active ER Engine Mount

This paper presents vibration control of a passenger vehicle using an electronically controllable electro-rheological (ER) engine mount. A mixed-mode ER engine mount operating under the flow and shear modes is devised and manufactured. After establishing the dynamic model of the proposed ER engine mount, both field-dependent displacement transmissibility and dynamic stiffness of the ER engine mount are empirically evaluated. The ER engine mount is then incorporated with a full-vehicle model in order to investigate vibration control performance at the driver's seat position. The governing equation of motion of the full-vehicle model is formulated by considering engine excitation force, followed by designing a skyhook controller to attenuate unwanted vibration. The controller is implemented through a hardware-in-the-loop simulation (HILS), and control responses such as acceleration level at idle speed are evaluated in the frequency and time domains.     

基于虚拟迭代技术的中型货车驾驶室载荷谱的求取

某货车驾驶室疲劳载荷激励输入位置位于驾驶室与悬置连接处,在进行整车强化道路耐久试验时无法安装设备直接采集。为获取较为准确的驾驶室疲劳寿命分析载荷谱,对强化耐久路面下整车加速度响应信号进行虚拟迭代。虚拟迭代时需调用整车多体动力学模型,为提高整车模型精度,基于Craig-Bampton综合模态理论生成柔性体车架,建立刚柔耦合的整车多体动力学模型。将Femfat-lab与ADAMS/Car进行联合仿真计算,以白噪声为初始输入,求解刚柔耦合整车多体动力学模型的非线性传递函数,基于循环迭代原理,进行各种典型强化路况下驾驶室悬置附近加速度响应信号的虚拟迭代。利用时域信号对比法及损伤阈值法作为迭代收敛判据,获得满足精度需求的位移驱动信号。将位移驱动信号导入到ADAMS/Car中,对整车多体动力学模型进行驱动仿真,提取驾驶室疲劳分析所需激励载荷谱,将虚拟迭代求得的载荷谱用于疲劳寿命分析所得结果与驾驶室疲劳强化台架试验结果进行对比。研究结果表明：出现疲劳破坏的部位相同度达75%,疲劳寿命误差在20%左右,表明虚拟迭代过程中基于柔性体车架建立的刚柔耦合多体动力学模型的仿真计算,可获得较高精度的迭代结果;以位移谱驱动整车多体动力学模型进行仿真能够有效避免六分力直接驱动时模型翻转等不稳定现象,并且整车模型仿真加速度响应结果与实测相应位置加速度响应吻合度较高;相比于传统的疲劳分析载荷获取方法,虚拟迭代技术可以在较低试验成本的情况下获取较高精度的载荷谱,并能够提取由于连接位置导致的无法直接进行载荷测量部位的疲劳分析载荷。     

Prediction of interior noise by excitation force of the powertrain based on hybrid transfer path analysis

In the early design stage of a vehicle, simulation of interior noise is useful for assessment and enhancement of the noise, vibration and harshness (NVH) performance. Traditional transfer path analysis (TPA) technology cannot simulate interior noise since it uses an experimental method. In order to solve this problem, hybrid TPA is employed in this paper. Hybrid TPA uses simulated excitation force as the input force, which excites the flexible body of a car at the mount points, while traditional TPA uses the measured force. This simulated force is obtained by numerical analysis of the finite element (FE) model of a powertrain. Interior noise is predicted by multiplying the simulated force by the vibro-acoustic transfer function (VATF) of the vehicle. The VATF is the acoustic response in the compartment of a car to the input force at the mount point of the powertrain in the flexible car body. The trend of the predicted interior noise based on the hybrid TPA corresponds very well to the measured interior noise, with some difference due to not only experimental error and simulation error, but also the effect of the airborne path.     

汽车发动机曲轴扭振的多体动力学分析

采用结合有限元法(FEM)的多体系统仿真(MSS)方法对汽车发动机曲轴进行扭转振动分析。建立了包括柔性曲轴的车用发动机曲轴系统的多体动力学模型。根据多体动力学仿真计算结果,分析了曲轴的扭转振动,测量了曲轴自由端的扭转振动,与仿真计算结果吻合较好。     

基于ADAMS与HyperWorks发动机前悬置支架的强度分析

利用Hypermesh生成发动机前悬置上支架的柔性体文件,在ADAMS中建立发动机前悬置的刚柔耦合的多体动力学模型,并输出载荷。运用惯性释放法分别研究了在垂直冲击、转弯、制动、倒车四种工况下前悬置上支架的强度,验证前悬置支架是否满足强度设计要求以及方案的可行性,对新产品的设计和开发有一定的指导作用。     

Analysis of vehicle rollover dynamics using a high-fidelity model

Recent data show that 35% of fatal crashes in sport utility vehicles included vehicle rollover. At the same time, experimental testing to improve safety is expensive and dangerous. Therefore, multi-body simulation is used in this research to improve the understanding of rollover dynamics. The majority of previous work uses low-fidelity models. Here, a complex and highly nonlinear multi-body model with 165 degrees of freedom is correlated to vehicle kinematic and compliance (K&C) measurements. The Magic Formula tyre model is employed. Design of experiment methodology is used to identify tyre properties affecting vehicle rollover. A novel, statistical approach is used to link suspension K&C characteristics with rollover propensity. Research so far reveals that the tyre properties that have the greatest influence on vehicle rollover are friction coefficient, friction variation with load, camber stiffness and tyre vertical stiffness. Key K&C characteristics affecting rollover propensity are front and rear suspension rate, front roll stiffness, front camber gain, front and rear camber compliance and rear jacking force.     

基于形状记忆合金的半主动隔振研究

针对被动隔振器对低频段的隔振能力差,主动隔振器结构过于复杂等问题,设计了一种基于形状记忆合金(SMA)的半主动隔振器,带有SMA丝的悬臂梁充当弹性元件,根据SMA的弹性模量随温度改变而变化的特性,通过适时的改变通入悬臂梁的电流,从而调节系统的固有频率使其随外部激振力频率的变化而改变。本文对变刚度隔振器的原理及基于SMA的隔振器的模型进行了分析,通过仿真得到了较宽的隔振频带并避开共振峰的响应曲线。     

四轮转向车辆多体仿真与试验研究

以四轮转向原理样车为对象,运用多体动力学理论对四轮转向车辆的转向特性进行了计算机仿真研究和试验验证。对建立整车多体模型的方法进行了论述。通过对仿真数据与样车试验结果的对比分析,证明了四轮转向多体模型各类参数和控制方法的正确性和适用性。最后利用建立的整车多体模型,仿真分析了前后悬架刚度对操纵稳定性的影响,以及制动转向时的转向响应特性。     

汽车发动机液阻悬置动特性仿真与实验分析

本文总结了发动机悬置系统的隔振要求和常用的悬置元件动特性评价参数，指出了悬置元件为满足高、低频隔振要求而产生的设计上的矛盾和困难。通过激振实验方法测试了液阻悬置元件及其橡胶主簧的动刚度和阻尼特性。对一种轿车动力总成液阻悬置建立了集总参数的力学和数学模型，进行了动特性仿真，并与实验测试结果进行了对比分析，表明该模型对液阻悬置的低频动特性分析很有效，在高频段也可以预测液阻悬置开始发生动态硬化的频率，对于液阻悬置产品的设计和改进具有指导意义。     

Investigation of influential factors of a brake corner system to reduce brake torque variation

This paper investigates the brake corner system to reduce brake torque variation in the brake judder problem. A numerical model for determining brake torque variation was constructed using the multi-body dynamics model. Using this model, the brake torque variation for a given disc thickness variation was obtained in the time domain. The multi-body dynamics model was verified by a dynamometer test via the comparison of brake torque variation and load distribution patterns of the pad. To reduce the simulation time and cost required to determine factors that influence the reduction in brake torque variation, a simple mathematical model was constructed and used to determine both the brake torque variation and influential factors. The multi-body dynamics model and dynamometer test were modified on the basis of the results of the simple mathematical model and deformed shape of the multi-body dynamics model. These influential factors were verified to reduce the brake torque variation.     

Development of a fail-safe control strategy based on evaluation scenarios for an FCEV electronic brake system

This study presents a few fail-safe control strategies based on reliability evaluation scenarios for the electronic brake systems of green cars in several critical cases. CarSim and MATLAB Simulink were used to develop the FCEV model with regenerative braking involving EWBs and EMBs. The proposed reliability evaluation scenarios were simulated, and a few fail-safe control algorithms were verified using the proposed reliability evaluation scenarios with the developed FCEV simulation model. The reliability evaluation scenarios were developed using a combination of driving modes and FMEA results for these electronic brake systems.     

Virtual durability test rigs for automotive engineering

In recent years so-called ‘virtual test rigs’ have become more and more important in the development process of cars and trucks. Originally, the idea was to substitute expensive durability tests with computer simulation. Meanwhile, the focus has changed towards a more cooperative usage of numerical and laboratory rig simulation. For many safety critical issues laboratory tests remain indispensable. In early development stages, when no physical prototypes are available yet, numerical simulation is used to analyse and optimise the design. In this paper, we show how to build numerical simulation models of complex servo-hydraulic test systems and their test specimen using multi-body simulation for the mechanics in combination with simulation models for the hydraulics and controls. We illustrate this at two industrial application examples: a spindle-coupled passenger car suspension rig and a tyre-coupled full vehicle rig. We show how the simulation models are used to design and optimise better test rigs and to support the test rig operation by preparing the physical tests with new specimen, i.e. by performing numerical simulations including numerical drive file iteration before the physical tests start.     

汽车磁流变悬置的动特性仿真研究

设计了一种用于某轿车的新型磁流变悬置结构,建立了其非线性动力学特性仿真分析数学模型,提出了模拟磁流变悬置动态特性的一种数值分析方法,应用MATLAB对其动态特性进行了仿真,分析了不同电流强度对该悬置动态特性的影响。     

Integration of car-body flexibility into train–track coupling system dynamics analysis

The resonance vibration of flexible car-bodies greatly affects the dynamics performances of high-speed trains. In this paper, we report a three-dimensional train–track model to capture the flexible vibration features of high-speed train carriages based on the flexible multi-body dynamics approach. The flexible car-body is modelled using both the finite element method (FEM) and the multi-body dynamics (MBD) approach, in which the rigid motions are obtained by using the MBD theory and the structure deformation is calculated by the FEM and the modal superposition method. The proposed model is applied to investigate the influence of the flexible vibration of car-bodies on the dynamics performances of train–track systems. The dynamics performances of a high-speed train running on a slab track, including the car-body vibration behaviour, the ride comfort, and the running safety, calculated by the numerical models with rigid and flexible car-bodies are compared in detail. The results show that the car-body flexibility not only significantly affects the vibration behaviour and ride comfort of rail carriages, but also can has an important influence on the running safety of trains. The rigid car-body model underestimates the vibration level and ride comfort of rail vehicles, and ignoring carriage torsional flexibility in the curving safety evaluation of trains is conservative.     

Hybrid neural network model for history-dependent automotive shock absorbers

The method of numerical multi-body simulation is an often used and well-understood development tool in the automotive industry. In order to reproduce the ride comfort or handling behaviour of vehicles, mathematical models have to be built up. To achieve accurate simulation results, highly detailed component models are required. However, the formulation of appropriate physically-based model equations of complex automotive components (e.g. air springs, shock absorbers, rubber bearings, tyres, etc.) can be very difficult. To handle this, empirical modelling methods have been developed. Simple algebraic equations are used to describe complex system behaviour. This simplification is very effective, although it largely ignores the natural laws of mechanics and thermodynamics but is still capable to predict the component response. This article illustrates how to take advantage of this approach in numerical simulations. We describe the development of a hybrid automotive shock absorber model based on both spline and neural network (NN) approaches. By combining these different approaches, an accurate model is achieved without loss of variability. Non-isothermal laboratory force-displacement measurements of an automotive shock absorber are being used to estimate the parameters of the NN. As shown, the model replicates the measured data with sufficient accuracy, especially the hysteresis. Finally, we present a set of quarter-car simulations with a built-in hybrid NN shock absorber.     

汽车撞行人模拟计算研究

用计算机模拟车撞行人运动过程具有十分重要的实际意义，本文从一个新的角度描述多体系统，建立了一种以刚体质心加速度和刚体角加速度为待解变量，以较间广义坐标为积分变量的多体系统动力学方法，以该方法为理论基础，开发了汽车碰撞人体运动响应三维模拟计算软件系统ＭＵＬ３Ｄ。运用该软件系统对汽车撞行人运动响应进行了模拟计算，对比模拟计算结果，真实交通事故和著名的ＭＡＤＹＭＯ软件计算结果，初步证实该方法和该软件系统