A planar quasi-static constraint mode tyre model

The fast-paced, iterative, vehicle design environment demands efficiency when simulating suspension loads. Towards that end, a computationally efficient, linear, planar, quasi-static tyre model is developed in this work that accurately predicts a tyre's lower frequency, reasonably large amplitude, nonlinear stiffness relationship. The axisymmetric, circumferentially isotropic, stiffness equation is discretised into segments, then parameterised by a single stiffness parameter and two shape parameters. The tyre's deformed shape is independent of the overall tyre stiffness and the forces acting on the tyre. Constraint modes capture enveloping and bridging properties and a recursive method yields the set of active constraints at the tyre–road interface. The nonlinear stiffness of a tyre is captured by enforcing unidirectional geometric boundary conditions. The model parameters are identified semi-empirically; simulated cleat test loads match experiments within 7% including nonlinear stiffness when simulating a flat plate test and a discontinuous stiffness when simulating a cleat test.     

Dynamic assessment of existing soft catenary systems using modal analysis to explore higher train velocities: a case study of a Norwegian contact line system

Significant advances made on the rolling stock have considerably increased the possibility of higher speeds in existing railways. Thus, it is important to explore higher speeds and potential limiting factors of existing soft catenary systems. The present paper investigates procedures to assess the dynamic behaviour of these systems using response sampling and modal analysis. The assessment evaluates and quantifies dynamic response along the section. To verify the approach, a case study is conducted and the following assessment methods are used: lengthwise track correlation estimating dynamic predictability, power spectral density estimations before and after passage and short-time Fourier transforms and spectrograms. The combination provides detailed information on the dynamic behaviour. The first part introduces necessary considerations for suggested modal analysis. The second part describes an existing Norwegian section. The case study is conducted using a finite element model including a straight and a given section between Oslo-Trondheim, providing detailed evaluations and system limitation detections.     

Effects of rail thermal stress on the dynamic response of vehicle and track

A new method is proposed to obtain the dynamic responses of the vehicle–track coupling system under the conditions of rail thermal stress changes in high-speed railways. Exact models are established with different rail longitudinal forces, in which multibody dynamic models are used for vehicles and the direct stiffness method for structures. In order to provide a general, simple and flexible formulation to express longitudinal stress distribution, the accurate model of long slab track consists of many small units with parameters which can be initialised separately. The exact analytical equation of track frequency and modal function was obtained by the transition matrix method, which can be used in calculating the dynamic response of wheel–rail coupling model. The proposed model is verified through comparisons with other classical solutions. Under the influence of train velocities and track irregularities, the specific vibration performances that frequency shifted and amplitude peak enhanced with thermal force are demonstrated through examples. The results show that the response analyses of vehicle and track have great application potentiality for fast estimation of the rail longitudinal stress.     

关于轮胎的圈模型

综述轮胎圈模型的历史与现状，指出各种圈模型之间差异的物理实质。在此基础上，考虑完全的非线性应变项、正确的初始应力和气压做功公式，利用Hamilton9变分原理得到了轮胎圈模型的一般动力学方程。文献中的方程可由本文的一般控制方程退化得到。利用轮胎的试验模态参数和轮胎圈模型的特征方程确定圈模型的物理参数。对195／70R14型轮胎给出了具体的数算例和试验结果，分析表明所提模型和方法是合理的。     

Influence of tyre–road contact model on vehicle vibration response

The influence of the tyre–road contact model on the simulated vertical vibration response was analysed. Three contact models were compared: tyre–road point contact model, moving averaged profile and tyre-enveloping model. In total, 1600 real asphalt concrete and Portland cement concrete longitudinal road profiles were processed. The linear planar model of automobile with 12 degrees of freedom (DOF) was used. Five vibration responses as the measures of ride comfort, ride safety and dynamic load of cargo were investigated. The results were calculated as a function of vibration response, vehicle velocity, road quality and road surface type. The marked differences in the dynamic tyre forces and the negligible differences in the ride comfort quantities were observed among the tyre–road contact models. The seat acceleration response for three contact models and 331 DOF multibody model of the truck semi-trailer was compared with the measured response for a known profile of test section.     

Geometric-based tyre vertical force estimation and stiffness parameterisation for automotive and unmanned vehicle applications

Advanced empirical, and physical-based tyre models have proven to be accurate for simulating tyre dynamics; however, these tyre models typically require expensive and intensive tyre parameterisation. Recent research into wheeled unmanned ground vehicles requiring vertical force analysis has shown good results using a simple linear spring model for the tyre which demonstrate the continued use for simple tyre models; however, parameterisation of the tyre still remains a challenge when load test equipment is not available. This paper presents a cost-effective tyre vertical stiffness parameterisation procedure using only measured tyre geometry and air pressure for applications where high-fidelity tyre models are unnecessary. Vertical forces calculated through an air volume optimisation approach are used to estimate tyre vertical stiffness. Nine tyres from the literature are compared to evaluate the performance of the vertical force estimation and stiffness parameterisation algorithms. Experimental results on a pair of ATV tyres are also presented.     

利用试验模态参数对轮胎包容特性的建模及试验验证

利用试验模态参数建立轮胎模型,计算了轮胎的静包容特性,计算结果与文献中所揭示的包容现象及变化规律有很好的定性一致。在此基础上对轮胎包容特性的建模进行了定量分析,包括模态阶数的截取和胎侧非线性的刚度。将计算结果与平板式轮胎试验台上进行的试验结果相比较,表明记入以上两方面考虑的因素下,计算结果与试验结果在各方面均很好吻合。定量分析的结果表明,不考虑胎侧非线性时,对轮胎垂直刚度的计算结果会远远高于试验结果。     

Finite-element model calibration of a railway vehicle based on experimental modal parameters

This article describes the experimental calibration of a three-dimensional numerical model of an Alfa Pendular train vehicle based on modal parameters. The dynamic tests of the carbody and bogie of the vehicle allowed the determination of the frequencies and modal configurations of 13 vibration modes, by applying the data-driven stochastic subspace identification method. In addition, a dynamic characterisation test of the passenger-seat system was also conducted. The calibration of the model was performed using a submodelling/multistep approach involving two phases, the first one focused on the calibration of the model of the bogie under test conditions and the second one focused on the calibration of the complete model of the vehicle. The calibration was performed through an iterative method based on a genetic algorithm and allowed to obtain optimal values of 17 parameters of the numerical model. For the pairing of the vibration modes, real and complex, a recent technique was used based on the calculation of the modal strain energy. The stability of a significant number of parameters considering different initial populations demonstrated the robustness of the algorithm. The comparison of experimental and numerical responses before and after calibration revealed significant improvements in the numerical model and a very good correlation between the responses obtained with the calibrated model and the experimental responses.     

基于无限长梁模型的车路振动耦合系统半解析解

针对无限长道路与车辆耦合系统响应计算复杂难题,考虑地基的弹性特性与道路不平度,建立基于无限长欧拉-伯努利梁模型的车路振动耦合系统。进而以车辆为参考点建立移动坐标系,提出通过积分变换推导耦合系统振动响应解析解的方法,并应用留数定理对其进行数值计算,获得车辆垂向位移、加速度、路面振动响应等系统响应的半解析解。与传统应用模态叠加法的有限长道路与车辆耦合响应相比,具有更高的计算效率与精度,系统参数化研究也证明了该半解析解的有效性。     

一种改进的约束阻尼梁振动解析模型

在目前已有的模型基础上提出一种改进的约束阻尼的梁振动解析模型。目前主要的约束阻尼解析模型都是假设阻尼层的剪切变形为唯一的阻尼来源，但是其他的变型，包括阻尼层以及约束层的纵向和横向的拉伸压缩也都是阻尼的重要来源。因此，将所有可能的阻尼变形包括剪切、拉伸和压缩集成到一个解析模型里面。这个改进的解析模型可以用来计算多层阻尼结构的自然频率和损耗因子。数值分析验证了此解析模型可以准确地预测结构的动态特性，所以此模型可以被广泛地采用在多层约束阻尼结构预测和设计等实际运用上。     

汽车车架OMA实验模态分析

模态参数辨识是系统辨识的一部分,通过模态参数的辨识,可以了解系统或结构的动力学特性,这些动力特性可作为结构有限元模型修正、故障诊断、结构实时监测的评定标准和基础。本文以212车架为研究对象,综合考虑悬挂条件,激励方式及布点位置对实验结果的影响,对其进行模态试验。通过使用ICATS软件对采集到的数据进行时域内的工作模态分析,然后得到模态参数。     

A new parameter identification methodology for a modal analysis test of a rail vehicle

The validation of vehicle mathematical models is a key part of the virtual acceptance process since it is essential to ensure a precise representation of the reality. The model validation procedure should include validation of stationary but also dynamic tests. However, parameter identification from on-track tests is a challenging task due to the non-controlled excitation and the great variability of the test results. Thus, an alternative solution by means of a vehicle modal analysis is proposed, developing a parameter identification methodology for dynamic vehicle model parameters. This methodology calculates estimated values of the vehicle model parameters that have an influence on the excited vehicle vibration modes. Moreover, a new criterion for taking into account the effect of the measurement uncertainties on the selection process of the vehicle parameters is developed. Finally, experimental results show that not only estimations of the suspension stiffness parameters can be obtained, but damping values and structural frequencies from the vehicle bodies can also be estimated.     

Lateral Dynamics of an Offroad Motorcycle by System Identification

An instrumented offroad motorcycle was run at a range of speeds in approximately straight lines whilst the rider excited its lateral dynamics by shaking the steering. Autoregressive models were fitted to the resulting multiple output time series data using system identification. The method allowed statistical estimation of state space models to represent the dynamics of an unstable or marginally stable vehicle under manual control. A symbolic algebra computer package was used to derive an analytical state space model to describe the lateral dynamics of the motorcycle. Results from the experiments and analysis compared well with respect to frequency, damping and modal shape of weave and wobble modes, frequency response and model order.     

3D brush model to predict longitudinal tyre characteristics

A 3D tyre brush model, which aims to predict the longitudinal tyre characteristic under steady-state conditions by modelling the occurring physical effects in the tyre–road contact patch, is presented. The model includes an analytical method to describe the tyre footprint geometry, the pressure distribution, the slip due to the lateral tyre contour, the slip due to braking or traction and the longitudinal as well as the lateral shear stresses on a flattened tyre. The presented development tool offers a method to investigate different rubber friction data (caused by different tread compounds and/or surface textures) and to analyse its influence on longitudinal tyre characteristics. The tyre design is fixed (same casing, dimension and pattern). The results include the shear stresses as well as the different sliding velocities in the contact patch for different slip conditions. The model was developed for a standard summer pattern design and a standard tyre dimension (205/55R16). It can also be adapted to other tread designs and tyre dimensions. To offer a good comparability between model results and test bench measurements, the surface curvature of an internal test rig is considered.     

货车驾驶室结构动力模型修改

本文利用货车驾驶室的测试模态参数来修正其有限元动力分析模型。文中主要论述货车驾驶室模态参数识别、动力分析模型单元组合修正法和货车驾驶室动力模型修改。     

江阴靖江长江隧道工作井侧墙抗裂防渗研究与应用

为解决工作井侧墙混凝土收缩开裂及侧墙顶部与环框梁结合部位不密实而引起的渗漏问题，首先，采用考虑材料、结构、环境、施工等多因素耦合机制模型，[JP2]量化评估混凝土开裂风险，提出抗裂性控制指标； 然后，通过综合运用黏度调控、水化历程与膨胀历程双重调控技术，实现了工作井侧墙中低胶材混凝土自密实性能与抗裂性能协同； 最后，结合入模温度控制、冷却水管、控制布料间距与浇筑速率以及保温保湿养护等工艺措施，提出了超长大体积、分步浇筑的工作井侧墙抗裂防渗成套技术方案。工程应用结果表明，工作井侧墙与环框梁结合密实，单边最大长度为53.6 m、一次性浇筑累计长度达120 m、厚1.5 m的工作井侧墙未出现裂缝及渗漏。