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Viscoelastic Material Calibration Procedure for Rolling Resistance Calculation 用于滚动阻力计算的粘弹性材料校准程序
IF 0.8 Q4 ENGINEERING, MECHANICAL Pub Date : 2019-09-05 DOI: 10.2346/tire.19.170157
Gabriel N. Curtosi, Pablo N. Zitelli, J. Kuster
As tire engineers, the authors are interested in predicting rolling resistance using tools such as numerical simulation and tests. When a car is driven along, its tires are subjected to repeated deformation, leading to energy dissipation as heat. Each point of a loaded tire is deformed as it completes a revolution. Most energy dissipation comes from the cyclic loading of the tire, which causes the rolling resistance in addition to the friction force in the contact patch between the tire and road. Rolling resistance mainly depends on the viscoelastic energy dissipation of the rubber materials used to manufacture the tires. To obtain an accurate amount of dissipated energy, a good understanding of the material mathematical model and its behavior is mandatory. For this reason, a calibration procedure was developed. To obtain a good method for calculating rolling resistance, it is necessary to calibrate all rubber compounds of the tire at different temperatures and strain frequencies. Thus, to validate the calibration procedure, simulations were performed to evaluate the error between the tests and models at material sample and tire levels. For implementation of the calibration procedure in the finite element models of rolling tires, a procedure is briefly described that takes into account the change in properties caused by the temperature during the simulations. Linear viscoelasticity is used to model the properties of the materials and is found to be a suitable approach to tackle energy dissipation due to hysteresis for rolling resistance calculation.
作为轮胎工程师,作者对使用数值模拟和测试等工具预测滚动阻力感兴趣。当汽车行驶时,轮胎会反复变形,导致能量以热量的形式耗散。加载轮胎的每个点在完成一圈时都会变形。大部分能量耗散来自轮胎的循环载荷,除了轮胎与道路接触处的摩擦力外,循环载荷还会产生滚动阻力。滚动阻力主要取决于用于制造轮胎的橡胶材料的粘弹性能量耗散。为了获得准确的耗散能量,必须充分了解材料的数学模型及其行为。为此,制定了一个校准程序。为了获得一种计算滚动阻力的好方法,有必要在不同的温度和应变频率下校准轮胎的所有橡胶化合物。因此,为了验证校准程序,进行了模拟,以评估材料样本和轮胎水平下测试和模型之间的误差。为了在滚动轮胎的有限元模型中实施校准程序,简要描述了一个程序,该程序考虑了模拟过程中温度引起的性能变化。线性粘弹性用于对材料的性能进行建模,并被发现是解决滚动阻力计算中由于滞后而导致的能量耗散的合适方法。
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引用次数: 0
Tire Lateral Vibration Considerations in Vehicle-Based Tire Testing 基于车辆的轮胎测试中轮胎横向振动的考虑
IF 0.8 Q4 ENGINEERING, MECHANICAL Pub Date : 2019-09-05 DOI: 10.2346/TIRE.18.460411
Anton Albinsson, F. Bruzelius, P. Els, B. Jacobson, E. Bakker
Vehicle-based tire testing can potentially make it easier to reparametrize tire models for different road surfaces. A passenger car equipped with external sensors was used to measure all input and output signals of the standard tire interface during a ramp steer maneuver at constant velocity. In these measurements, large lateral force vibrations are observed for slip angles above the lateral peak force with clear peaks in the frequency spectrum of the signal at 50 Hz and at multiples of this frequency. These vibrations can lower the average lateral force generated by the tires, and it is therefore important to understand which external factors influence these vibrations. Hence, when using tire models that do not capture these effects, the operating conditions during the testing are important for the accuracy of the tire model in a given maneuver. An Ftire model parameterization of tires used in vehicle-based tire testing is used to investigate these vibrations. A simple suspension model is used together with the tire model to conceptually model the effects of the suspension on the vibrations. The sensitivity of these vibrations to different operating conditions is also investigated together with the influence of the testing procedure and testing equipment (i.e., vehicle and sensors) on the lateral tire force vibrations. Note that the study does not attempt to explain the root cause of these vibrations. The simulation results show that these vibrations can lower the average lateral force generated by the tire for the same operating conditions. The results imply that it is important to consider the lateral tire force vibrations when parameterizing tire models, which does not model these vibrations. Furthermore, the vehicle suspension and operating conditions will change the amplitude of these vibrations and must therefore also be considered in maneuvers in which these vibrations occur.
基于车辆的轮胎测试可能会使针对不同路面重新参数化轮胎模型变得更容易。采用外接传感器的乘用车,测量匀速坡道转向机动过程中标准轮胎接口的所有输入和输出信号。在这些测量中,在滑移角高于横向峰值力的情况下,观察到较大的横向力振动,在50 Hz和该频率的倍数下,信号频谱中有明显的峰值。这些振动可以降低轮胎产生的平均横向力,因此了解影响这些振动的外部因素非常重要。因此,当使用不能捕获这些影响的轮胎模型时,测试期间的操作条件对于给定操作中轮胎模型的准确性非常重要。在车用轮胎试验中,采用轮胎模型参数化来研究这些振动。将一个简单的悬架模型与轮胎模型结合使用,对悬架对振动的影响进行了概念建模。还研究了这些振动对不同操作条件的敏感性,以及测试程序和测试设备(即车辆和传感器)对横向轮胎力振动的影响。请注意,这项研究并没有试图解释这些振动的根本原因。仿真结果表明,在相同工况下,这些振动可以降低轮胎产生的平均侧向力。结果表明,在参数化轮胎模型时,考虑轮胎侧向力振动是很重要的,而参数化轮胎模型不能模拟这些振动。此外,车辆悬架和操作条件会改变这些振动的振幅,因此在发生这些振动的机动中也必须考虑到这一点。
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引用次数: 0
Isogeometric Analysis for Tire Simulation at Steady-State Rolling 轮胎稳态滚动仿真的等几何分析
IF 0.8 Q4 ENGINEERING, MECHANICAL Pub Date : 2019-09-05 DOI: 10.2346/TIRE.19.170164
Mario A. García, M. Kaliske
The use of isogeometric analysis (IGA) in industrial applications has increased in the past years. One of the main advantages is the combination of finite element analysis (FEA) with the capability of representing the exact geometry by means of non-uniform rational B-splines (NURBS). This framework has proven to be an efficient alternative to standard FEA in solid mechanics and fluid dynamics, in cases in which sensitivity to geometry is found. The numerical simulation of rolling tires requires a proper discretization for the curved boundaries and complex cross sections, which often leads to the use of higher-order or cylindrical elements. As remeshing operations are numerically costly in tire models, IGA stands as an attractive alternative for the modeling of rolling tires. In this contribution, an arbitrary Lagrangian Eulerian formulation is implemented into IGA to provide the basic tools for the numerical analysis of rolling bodies at steady-state conditions. The solid basis of the formulation allows the employment of standard material models, but tire constructive elements, such as reinforcing layers, require special attention. Streamlines are constructed based on the locations of the integration points, and therefore, linear and nonlinear viscoelastic models can be implemented. Numerical examples highlight the advantage of the new approach of requiring fewer degrees of freedom for an accurate description of the geometry.
在过去几年中,等几何分析(IGA)在工业应用中的使用有所增加。其主要优点之一是将有限元分析(FEA)与用非均匀有理b样条(NURBS)表示精确几何形状的能力相结合。该框架已被证明是固体力学和流体动力学中标准有限元分析的有效替代方案,在发现几何敏感性的情况下。滚动轮胎的数值模拟需要对弯曲边界和复杂截面进行适当的离散化,这往往导致使用高阶或圆柱形单元。由于在轮胎模型中重新网格化操作的数值成本很高,因此IGA作为滚动轮胎建模的一个有吸引力的替代方案。在此贡献中,将任意拉格朗日欧拉公式实现到IGA中,为稳态条件下滚动体的数值分析提供了基本工具。该配方的坚实基础允许使用标准材料模型,但轮胎结构元素,如加强层,需要特别注意。基于积分点的位置构造流线,因此可以实现线性和非线性粘弹性模型。数值例子突出了新方法的优点,它需要更少的自由度来精确描述几何形状。
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引用次数: 4
Experimental Measurement of In-Plane Rolling Nonpneumatic Tire Vibrations Using High-Speed Imaging 平面内滚动非气动轮胎振动的高速成像实验测量
IF 0.8 Q4 ENGINEERING, MECHANICAL Pub Date : 2019-09-05 DOI: 10.2346/TIRE.18.470101
Meghashyam Panyam, B. Ayalew, T. Rhyne, S. Cron, John W. Adcox
This article presents a novel experimental technique for measuring in-plane deformations and vibration modes of a rotating nonpneumatic tire subjected to obstacle impacts. The tire was mounted on a modified quarter-car test rig, which was built around one of the drums of a 500-horse power chassis dynamometer at Clemson University's International Center for Automotive Research. A series of experiments were conducted using a high-speed camera to capture the event of the rotating tire coming into contact with a cleat attached to the surface of the drum. The resulting video was processed using a two-dimensional digital image correlation algorithm to obtain in-plane radial and tangential deformation fields of the tire. The dynamic mode decomposition algorithm was implemented on the deformation fields to extract the dominant frequencies that were excited in the tire upon contact with the cleat. It was observed that the deformations and the modal frequencies estimated using this method were within a reasonable range of expected values. In general, the results indicate that the method used in this study can be a useful tool in measuring in-plane deformations of rolling tires without the need for additional sensors and wiring.
本文提出了一种新的实验技术,用于测量旋转非充气轮胎在障碍物冲击下的平面内变形和振动模式。该轮胎安装在一个经过改装的四分之一汽车试验台上,该试验台是围绕克莱姆森大学国际汽车研究中心500马力底盘测功机的一个转鼓建造的。使用高速摄像机进行了一系列实验,以捕捉旋转轮胎与附在滚筒表面的防滑钉接触的事件。使用二维数字图像相关算法对所得视频进行处理,以获得轮胎的平面内径向和切向变形场。在变形场上实现了动态模式分解算法,以提取轮胎与防滑钉接触时激发的主频率。据观察,使用该方法估计的变形和模态频率在预期值的合理范围内。总的来说,结果表明,本研究中使用的方法可以成为测量滚动轮胎平面内变形的有用工具,而无需额外的传感器和布线。
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引用次数: 0
An Integrated Approach for Friction and Wear Simulation of Tire Tread Rubber. Part II: Wear Test, Characterization, and Modeling 轮胎胎面胶摩擦磨损综合模拟方法。第二部分:磨损试验、表征和建模
IF 0.8 Q4 ENGINEERING, MECHANICAL Pub Date : 2019-07-02 DOI: 10.2346/tire.19.170175
Zhao Li, Ziran Li, Yang Wang
On the basis of Part I, Part II continues further research on the wear of tire tread rubber. A test scheme composed of various combined conditions that are widely ranged in energy dissipation is developed. The wear rate and temperature increase are described by exponential energetic models. Coupled with the unified friction model, a well-demonstrated wearing simulation of the rubber wheel is proposed. The wear rate for the rolling of axisymmetric structure is derived, and a nonequal wear increment is proposed according to the maximum allowable wear depth of the surface elements, which act as a criterion for calculating the increment size. In order to maintain high quality of the worn mesh, the boundary displacement method is employed to reposition the interior nodes of the finite element model as well as the surface elements. The computed wear rates are roughly in agreement with the test results. As a further illustration, the tread wear simulation of an axisymmetric tire containing only longitudinal grooves is conducted. For the first time, the evolution rules of wear contour of the axisymmetric tire are revealed, and the linear variation of worn mass with the rolling distance is consistent with the experimental results reported in literature.
第二部分在第一部分的基础上,对轮胎胎面橡胶的磨损进行了进一步的研究。提出了一种由耗能范围广的多种组合条件组成的试验方案。磨损速率和温度升高用指数能量模型来描述。结合统一的摩擦模型,提出了橡胶轮的磨损仿真模型。推导了轴对称结构轧制的磨损率,并根据表面单元的最大允许磨损深度提出了非等量磨损增量,以此作为增量大小的计算准则。为了保持磨损网格的高质量,采用边界位移法对有限元模型内部节点和表面单元进行重新定位。计算的磨损率与试验结果基本一致。为了进一步说明这一点,进行了轴对称轮胎的胎面磨损模拟只有纵向沟槽。首次揭示了轴对称轮胎磨损轮廓的演化规律,磨损质量随滚动距离的线性变化与文献报道的实验结果一致。
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引用次数: 2
3D Modal Analysis of a Loaded Tire with Binary Random Noise Excitation 二元随机噪声激励下负重轮胎三维模态分析
IF 0.8 Q4 ENGINEERING, MECHANICAL Pub Date : 2019-06-04 DOI: 10.2346/TIRE.19.170166
Ipar Ferhat, R. Sarlo, P. Tarazaga
Modal analysis of tires has been a fundamental part of tire research aimed at capturing the dynamic behavior of a tire. An accurate expression of tire dynamics leads to an improved tire model and a more accurate prediction of tire behavior in real-life operations. Therefore, the main goal of this work is to improve the tire-testing techniques and data range to obtain the best experimental data possible using the current technology. With this goal in mind, we propose novel testing techniques such as piezoelectric excitation, high-frequency bandwidth data, and noncontact vibration measurement. High-frequency data enable us to capture the coupling between the wheel and tire as well as the coupling between airborne and structure-borne noise. Piezoelectric excitation eliminates the dynamic coupling of shakers and the inconsistency of force magnitude and direction of impact hammers as well as added mass effect. Noncontact vibration measurements using three-dimensional (3D) scanning laser Doppler vibrometer (SLDV) are superior to accelerometers because of no mass loading, a high number of measurement points in three dimensions, and high sensitivity. In this work, a modal analysis is carried out for a loaded tire in a static condition. Because of the highly damped nature of tires, multiple input excitation with binary random noise signal is used to increase the signal strength. Mode shapes of the tire are obtained and compared using both accelerometers and SLDV measurements.
轮胎的模态分析一直是轮胎研究的基础部分,旨在捕捉轮胎的动态行为。轮胎动力学的精确表达导致改进的轮胎模型和对实际操作中轮胎行为的更准确预测。因此,这项工作的主要目标是改进轮胎测试技术和数据范围,以获得使用当前技术可能获得的最佳实验数据。考虑到这一目标,我们提出了新的测试技术,如压电激励、高频带宽数据和非接触振动测量。高频数据使我们能够捕捉车轮和轮胎之间的耦合,以及空气传播和结构传播噪声之间的耦合。压电激励消除了振动台的动态耦合、冲击锤的力大小和方向的不一致以及附加的质量效应。使用三维(3D)扫描激光多普勒振动计(SLDV)进行非接触振动测量优于加速度计,因为无质量负载、三维测量点数量多且灵敏度高。在这项工作中,对静态条件下的加载轮胎进行了模态分析。由于轮胎的高度阻尼特性,使用具有二进制随机噪声信号的多输入激励来提高信号强度。使用加速度计和SLDV测量值获得并比较轮胎的振型。
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引用次数: 0
Predicting Useful Life of Green Tires through Different Methodologies 用不同方法预测绿色轮胎的使用寿命
IF 0.8 Q4 ENGINEERING, MECHANICAL Pub Date : 2019-05-22 DOI: 10.2346/TIRE.18.460407
J. Gheller
One consideration when evaluating materials is the length of time over which they can be used, also called useful life. This is a complex question, especially for new green tire tread rubber compounds using silica as the main reinforcing filler that results in lower fuel consumption. The current work presents a critical approach of three methodologies used for predicting the useful life of different tire tread compositions. The methodologies considered were Arrhenius; Williams, Landel, and Ferry (WLF); and crack growth propagation. Different temperatures, strains, and mechanical properties were analyzed to evaluate the differences between the useful life of the new green tire tread and the carbon black reinforced reference one. Results showed different useful life for each evaluated property. Moreover, each tire tread composition presented a different useful life for the same property, while the silica reinforced composition presented a lower useful life when compared with the reference one.
在评估材料时,一个考虑因素是它们可以使用的时间长度,也称为使用寿命。这是一个复杂的问题,尤其是对于使用二氧化硅作为主要增强填料的新型绿色轮胎胎面胶化合物,它可以降低油耗。目前的工作提出了三种方法中的一种关键方法,用于预测不同轮胎胎面成分的使用寿命。所考虑的方法是阿伦尼乌斯;Williams、Landel和Ferry(WLF);以及裂纹扩展。分析了不同的温度、应变和力学性能,以评估新型绿色轮胎胎面与炭黑增强参考胎面的使用寿命之间的差异。结果显示,每个评估财产的使用寿命不同。此外,对于相同的性能,每种轮胎胎面组合物表现出不同的使用寿命,而与参考组合物相比,二氧化硅增强组合物表现出较低的使用寿命。
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引用次数: 0
A Double Interaction Brush Model for Snow Conditions 积雪条件下的双重相互作用电刷模型
IF 0.8 Q4 ENGINEERING, MECHANICAL Pub Date : 2019-05-22 DOI: 10.2346/TIRE.18.460404
Artem Kusachov, F. Bruzelius, M. Hjort, B. Jacobson
Commonly used tire models for vehicle-handling simulations are derived from the assumption of a flat and solid surface. Snow surfaces are nonsolid and may move under the tire. This results in inaccurate tire models and simulation results that are too far from the true phenomena. This article describes a physically motivated tire model that takes the effect of snow shearing into account. The brush tire model approach is used to describe an additional interaction between the packed snow in tire tread pattern voids with the snow road surface. Fewer parameters and low complexity make it suitable for real-time applications. The presented model is compared with test track tire measurements from a large set of different tires. Results suggest higher accuracy compared with conventional tire models. Moreover, the model is also proven to be capable of correctly predicting the self-aligning torque given the force characteristics.
通常用于车辆操纵仿真的轮胎模型都是基于一个平坦的固体表面的假设。雪面是非固体的,可能会在轮胎下面移动。这导致不准确的轮胎模型和仿真结果与真实现象相差甚远。本文描述了一个考虑到雪剪切效应的物理驱动轮胎模型。利用刷式轮胎模型方法描述胎面花纹空隙中积雪与路面积雪之间的附加相互作用。参数少,复杂度低,适合实时应用。将所提出的模型与大量不同轮胎的试验轮胎测量结果进行了比较。结果表明,与传统轮胎模型相比,该模型具有更高的准确性。此外,还证明了该模型能够在给定力特性的情况下正确预测自调心力矩。
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引用次数: 2
Tire Splash and Spray Directly before and during Hydroplaning 在打滑前和打滑过程中直接喷洒和喷洒轮胎水
IF 0.8 Q4 ENGINEERING, MECHANICAL Pub Date : 2019-05-22 DOI: 10.2346/TIRE.18.460406
Bernhard Schmiedel, F. Gauterin
Wet roads can have a serious impact on tire traction. There are several ways of detecting wet roads; however, almost all of them come with disadvantages. Using the splash and spray behavior of the tire can offer a solution. To identify key parameters that influence splash and spray, we used high-speed cameras to record tires rolling on an internal drum tire test bench. The key parameters were water film thickness, speed, and profile geometry (tread pattern and tread depth). Our image-processing analysis showed three main effects in the splash and spray behavior that help to characterize the water film thickness: side splash, circumferential spray, and torrent spray. Circumferential spray and torrent spray can be used to estimate low and medium water film thicknesses, but these require information about speed and profile geometry. Side splash announces hydroplaning without the need for additional information.
潮湿的道路会严重影响轮胎的牵引力。有几种方法可以检测潮湿的道路;然而,它们几乎都有缺点。利用轮胎的飞溅和喷雾行为可以提供一个解决方案。为了确定影响飞溅和喷雾的关键参数,我们使用高速摄像机记录了内鼓轮胎试验台上的轮胎滚动情况。关键参数是水膜厚度、速度和轮廓几何形状(胎面花纹和胎面深度)。我们的图像处理分析显示了飞溅和喷雾行为的三个主要影响,这有助于表征水膜厚度:侧面飞溅、周向喷雾和急流喷雾。周向喷雾和急流喷雾可用于估计低和中等水膜厚度,但这需要有关速度和剖面几何形状的信息。侧面飞溅宣布滑水,无需额外信息。
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引用次数: 4
Test and Simulation Analysis of Tire Inflation Pressure Loss 轮胎充气压力损失的测试与仿真分析
IF 0.8 Q4 ENGINEERING, MECHANICAL Pub Date : 2019-05-10 DOI: 10.2346/TIRE.19.180195
C. Liang, Xinyu Zhu, Guolin Wang, Changda Li
Tire inflation pressure loss is inevitable during tire service time. The inflation pressure loss rate (IPLR) is widely used to estimate the inflation pressure retention performance of a tire. However, an IPLR test is a time-consuming process that lasts 42 days for a passenger car tire and 105 days for a truck/bus tire. To perform a thorough study of the tire pressure loss process, based on Abaqus software, a finite element model was developed with tire geometry inputs as well as tire material inputs of both mechanical and permeability properties of the various rubber compounds. A new method—the ideal material method—is proposed here to describe the transient tire pressure loss. Different from the previous isotropic models, the cord–rubber system is described using orthotropic diffusivities, which were determined through air-pressure-drop tests then applied in the finite element model in this article. Compared with the standard IPLR test, the difference between the tire IPLR test and the simulation result is within 5%.
轮胎充气压力损失是轮胎使用过程中不可避免的问题。充气压力损失率(IPLR)被广泛用于评价轮胎的充气压力保持性能。然而,IPLR测试是一个耗时的过程,乘用车轮胎需要42天,卡车/公共汽车轮胎需要105天。为了对轮胎压力损失过程进行深入研究,基于Abaqus软件,开发了一个包含轮胎几何形状输入以及轮胎材料输入的各种橡胶化合物的机械和透气性的有限元模型。本文提出了一种描述瞬态轮胎压力损失的新方法——理想材料法。与以前的各向同性模型不同,索-橡胶系统使用正交各向异性扩散系数来描述,该扩散系数是通过空气压降试验确定的,然后应用于本文的有限元模型。与标准IPLR试验相比,轮胎IPLR试验与模拟结果的差异在5%以内。
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引用次数: 1
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Tire Science and Technology
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