轨道减振器超弹性本构模型参数优化

Parameter Optimization of the Track Damper Superelastic Constitutive Model

摘要: 选用邵氏硬度为70和75的2组Mooney-Rivlin橡胶超弹性本构模型参数对剪切型轨道减振器垂向刚度进行仿真分析，得到2组参数的仿真结果与实测结果之间的误差分别为9.46%和14.43%，表明本构模型参数的选取对于仿真结果的精确度影响较大，需要进行参数优化。通过最小二乘法建立模型参数与橡胶硬度之间的函数关系，在橡胶硬度70~75之间取参数C10和C01各4个水平，设计2因子4水平的正交试验。通过正交试验法对轨道减振器垂向刚度进行仿真分析，得到了优化后的参数C10 = 0.707，C01 = 0.165。其仿真结果与实测结果之间的误差仅为1.01%，有效提高了仿真结果的精确度。

Abstract: A simulated analysis has been carried out on the vertical stiffness of the track damper by 2 groups of the parameters of the Mooney-Rivlin superelastic constitutive model, which are corresponding to the rubber hardness of 70 and 75. The relative errors between the stiffness values of the simulated analysis and the stiffness value of the actual measurement are 9.46% and 14.43% respectively, which shows that the parameters of the constitutive model have a significant influence on the precision of the simulated analysis and the parameter optimization is necessary. By the functional relation established by the least square method between the parameters of the constitutive model and the rubber hardness, 4 levels of C10 and C01 are selected respectively in the hardness range from 70 to 75 to design a 4 levels and 2 factors orthogonal test. By means of the simulated analysis of the vertical stiffness based on the orthogonal test, the optimized parameters are obtained, namely C10 = 0.707, C01 = 0.165. The relative error between the stiffness value of the simulated analysis and the stiffness value of the actual measurement is as low as 1.01%, which means that the precision of the simulated analysis is improved effectively.