An analytical model of a non-pneumatic tire is proposed to study the static deformation responses of a non-pneumatic tire in contact with a rigid ground. The tire consists of a shear band which is formed by an annular beam, and elastic spokes that connect the shear band to the rigid hub of the tire. The shear band is modeled using a Timoshenko beam. The spokes are modeled by linear springs, which are distributed evenly in circumferential direction. Governing equations of the model were derived using a theoretical analysis. The shear band static deformation was obtained based on the discussion of the relationship between spoke stiffness and the parameters of the shear band. A finite element model was developed to verify the accuracy of the model. As a part of the results from this study, a parametric analysis of quantities of interest for the tire is presented, which can be used in improving the optimal design of non-pneumatic tires. This scheme offers a holonomic solution for the complicated differential equations and gives a computationally efficient tool for rapid analyzing and designing such systems.

提出了一种非充气轮胎的分析模型，以研究与刚性地面接触的非充气轮胎的静态变形响应。轮胎由由环形梁形成的剪切带和将剪切带连接到轮胎的刚性轮毂的弹性辐条组成。剪切带使用 Timoshenko 梁建模。辐条由线性弹簧建模，在圆周方向上均匀分布。该模型的控制方程是使用理论分析得出的。在讨论辐条刚度与剪切带参数之间的关系的基础上，得到剪切带静态变形。建立了有限元模型来验证模型的准确性。作为本研究结果的一部分，提出了轮胎感兴趣量的参数分析，可用于改进非充气轮胎的优化设计。该方案为复杂的微分方程提供了完整的解决方案，并为快速分析和设计此类系统提供了高效的计算工具。