Haniyeh Fathi, Zeinab El-Sayegh, Jing Ren, M. El-Gindy
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In the vertical stiffness test, a ramp vertical load is applied, and the tire’s vertical displacement is measured to calculate the tire’s vertical stiffness. In the dynamic domain, the tire is validated using drum-cleat and cornering tests. In the drum-cleat test, a drum with a 2.5 m diameter and a cleat with a 15 mm radius is used to excite the tire structure and obtain the frequency of the vertical and longitudinal first modes of vibration, that is, by applying the fast Fourier transformation (FFT) of the vertical and longitudinal reaction forces at the tire center. In addition to this test, the tire model is pre-steered on a flat surface with a two-degree slip angle and subjected to a steady state linear speed of 10 km/h to predict the cornering force and compute the cornering stiffness. In addition, the effect of tire longitudinal speed on the rolling resistance coefficient is then predicted at zero slip angle using the ISO 28580 rolling resistance test. 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引用次数: 0
摘要
本文重点介绍了使用有限元分析方法对尺寸为 235/55R19 的四沟槽乘用车轮胎进行建模和分析。采用 Mooney-Rivlin 材料模型来定义所有实体元素的轮胎橡胶化合物的超弹性行为。轮胎轮辋使用铝合金材料作为刚体建模,胎圈使用钢材料作为梁元素建模。通过多次模拟,在静态和动态领域对轮胎模型进行了验证,并与公布的测量数据进行了比较。在静态领域,通过足迹和垂直刚度测试对轮胎进行了验证。在静态足迹测试中,施加稳定的垂直负载,并计算轮胎与路面的接触面积。在垂直刚度测试中,施加斜坡垂直载荷,测量轮胎的垂直位移,计算轮胎的垂直刚度。在动态领域,轮胎通过鼓式过弯和转弯测试进行验证。在鼓-夹板试验中,使用直径为 2.5 米的鼓和半径为 15 毫米的夹板来激励轮胎结构,并通过对轮胎中心的垂直和纵向反作用力进行快速傅里叶变换(FFT),获得垂直和纵向第一振动模式的频率。除此测试外,还将轮胎模型预先放置在滑移角为两度的平坦路面上,并以 10 km/h 的稳定线速度行驶,以预测转弯力并计算转弯刚度。此外,还利用 ISO 28580 滚动阻力测试预测了零滑移角时轮胎纵向速度对滚动阻力系数的影响。这项研究成果为乘用车轮胎与路面相互作用分析提供了深入见解,并将进一步用于进行轮胎橡胶复合材料模型敏感性分析。
Modeling and Validation of a Passenger Car Tire Using Finite Element Analysis
This paper focuses on the modeling and analysis of a four-groove passenger car tire, size 235/55R19, using finite element analysis. The Mooney–Rivlin material model is employed to define the hyperelastic behavior of the tire rubber compounds for all solid elements. The tire rim is modeled as a rigid body using aluminum alloy material, and the beads are modeled as beam elements using steel material. The tire model is validated in both static and dynamic domains through several simulations and is compared to published measured data. The tire is validated using footprint and vertical stiffness tests in the static domain. In the static footprint test, a steady-state vertical load is applied, and the tire–road contact area is computed. In the vertical stiffness test, a ramp vertical load is applied, and the tire’s vertical displacement is measured to calculate the tire’s vertical stiffness. In the dynamic domain, the tire is validated using drum-cleat and cornering tests. In the drum-cleat test, a drum with a 2.5 m diameter and a cleat with a 15 mm radius is used to excite the tire structure and obtain the frequency of the vertical and longitudinal first modes of vibration, that is, by applying the fast Fourier transformation (FFT) of the vertical and longitudinal reaction forces at the tire center. In addition to this test, the tire model is pre-steered on a flat surface with a two-degree slip angle and subjected to a steady state linear speed of 10 km/h to predict the cornering force and compute the cornering stiffness. In addition, the effect of tire longitudinal speed on the rolling resistance coefficient is then predicted at zero slip angle using the ISO 28580 rolling resistance test. The findings of this research work provide insights into passenger car tire–road interaction analysis and will be further used to perform tire rubber compound material model sensitivity analysis.