胶料硬度对超弹本构模型参数及橡胶弹簧刚度的影响

Influence of Rubber Hardness on the Parameters of the Hyperelastic Constitutive Model and the Stiffness of Rubber Spring

采用Mooney-Rivlin超弹本构模型,研究不同胶料硬度对超弹本构模型参数及胶料弹簧刚度的影响。对锥形橡胶弹簧进行垂向刚度仿真,并将仿真结果与弹簧刚度试验结果对比,发现不同胶料硬度对橡胶弹簧刚度有显著的影响。利用最小二乘法对现有的离散化数据进行拟合,得出超弹本构模型参数与胶料硬度的函数关系。基于正交试验方法,通过锥形橡胶弹簧刚度仿真试验,求得与实际胶料硬度对应的最佳超弹本构模型参数值C10=0.312,C01=0.087;锥形橡胶弹簧仿真刚度值与试验刚度值的相对误差仅为0.3%,具有较高的精度。

A research has been carried out on the effects of different rubber hardness on the parameters of the hyperelastic constitutive model and the stiffness of rubber spring by using the Mooney-Rivlin superelastic constitutive model. A simulation experiment has been conducted on the vertical stiffness of conical rubber spring, followed by a comparison made between the simulation results and the test results of spring stiffness, which shows that the stiffness of rubber exerts a significant influence on the stiffness of rubber spring. The least square method has been adopted to flt the existing discretization data, thus obtaining the function relation between the parameters of the hyperelastic constitutive model and the hardness of the rubber compound. By adopting the orthogonal test method, a simulation test of the stiffness of the conical rubber spring has been carried out, obtaining the value of the best hyperelastic constitutive model corresponding to the hardness of the rubber compound, namely C10=0.312, C01=0.087. The relative error of the simulation stiffness value of the conical spring and the test stiffness turns out to be as low as 0.3%, verifying its high precision.