The analysis of rolling tires using numerical methods sheds light on the understanding of complex phenomena, while reducing the amount of experimental tests, which are used to calibrate and validate the models. Among different approaches, the finite element method is often used in tire industry, due to its capabilities of describing structural behavior, where material properties and an accurate geometry are required.

Isogeometric Analysis offers an efficient and exact geometrical description of bodies, in contrast e.g. to linear finite elements, which is fundamental for the circular shape of a tire.

In this contribution, a novel framework for tire analysis is presented. Closed unclamped B-splines are employed for a fully continuous description of geometry and field variables. The overall high-order continuity of the model allows the analysis to be less sensitive with respect to the applied discretization which becomes obvious in comparison to standard FEA models. The rolling phenomenon is described by an Arbitrary Lagrangian–Eulerian approach with a direct computation of second order gradients due to the use of higher order basis functions.

This novel framework is validated by experiments using a passenger car tire, where accelerations are registered. This versatile approach can be employed for the comparison and evaluation of analytical approaches. A discussion of the results of numerical simulations, significant remarks and an outlook on further research directions close this presentation.

使用数值方法分析滚动轮胎有助于理解复杂现象，同时减少用于校准和验证模型的实验测试量。在不同的方法中，有限元方法经常用于轮胎行业，因为它具有描述结构行为的能力，其中需要材料属性和精确的几何形状。

等几何分析提供了对物体的有效和精确的几何描述，与线性有限元形成对比，线性有限元是轮胎圆形的基础。

在这篇文章中，提出了一种新的轮胎分析框架。闭合未夹紧 B 样条用于几何和场变量的完全连续描述。模型的整体高阶连续性允许分析对应用的离散化不那么敏感，这与标准 FEA 模型相比变得明显。滚动现象由任意 L agrangian -E ulerian方法描述，由于使用高阶基函数，直接计算二阶梯度。

这种新颖的框架通过使用乘用车轮胎的实验进行验证，其中记录了加速度。这种通用方法可用于比较和评估分析方法。对数值模拟结果的讨论、重要评论和对进一步研究方向的展望结束了本演讲。