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用非线性有限元法对一种典型的橡胶复合材料结构——轮胎的力学性能进行了分析。给出了轮胎滚动边界值问题的数学描述和有限元列式及相应的求解策略。取旋转刚体构形为参考构形，得到消去时间变量的惯性场和控制方程。用增量约束方法处理轮胎滚动接触问题可以达到收敛快、精度高。研究了滚动参数对轮胎总体和局部变形和受力的影响。计算结果与已有数据和试验相吻合，对轮胎设计和汽车动力学有指导意义。
A typical rubber composite structure, the mechanical properties of tire, was analyzed by nonlinear finite element method. The mathematical description and finite element formulation of tire rolling boundary value problems and corresponding solution strategies are given. Taking the rotating rigid body configuration as a reference configuration, the inertial field and the governing equation of eliminating the time variable are obtained. Using incremental constraint method to deal with tire rolling contact problem can achieve fast convergence and high precision. The effects of rolling parameters on overall and local tire deformation and stress were studied. The calculation results are in accordance with the existing data and experiments, which is of guiding significance to tire design and vehicle dynamics.