惯容⁃橡胶复合隔振器动力学建模及参数识别

Dynamic Mechanical Modeling and Parameter Identification of Inerter⁃Rubber Vibration Isolator

针对惯容⁃橡胶复合隔振器已有数学模型不精确的问题,考虑隔振器的恢复力,建立基于力⁃位移关系的非线性数学模型。在力学特性试验的基础上,将Bouc⁃Wen模型应用于惯容⁃橡胶复合隔振器以模拟其迟滞特性,采用遗传算法对数学模型中的未知参数进行识别,利用不同幅值和频率的试验数据对结果进行检验,并应用Simulink工具箱对识别结果进行数值仿真验证。结果表明:遗传算法可以准确识别出模型中的未知参数,激励频率为0.1~5 Hz时,试验值和仿真值的上、下幅值最大偏差分别为7.9%和8.3%;在10 Hz频段内,通过模型得到的传递率与试验传递率之间的平均误差为8%,均与试验数据有较高吻合度,验证了惯容⁃橡胶复合隔振器Bouc⁃Wen模型的正确性。

In the problem of inaccurate mathematical models of inerter-rubber vibration isolators,a nonlinear mathematical model based on the force-displacement relationship is established considering the restoring force of the isolators.Based on the mechanical property test,the Bouc-Wen model is used to simulate the hysteresis characteristics of the inerter-rubber vibration isolator,and the genetic algorithm is used to identify the unknown parameters in the mathematical model.Moreover,the test data of different amplitudes and frequencies are used to check the results.Finally the Simulink toolbox is used to verify the numerical simulation results.The results show that the genetic algorithm can correctly identify the unknown parameters in the model.When the excitation frequency is 0.1~5 Hz,the maximum deviations of the upper and lower amplitudes of the test value and the simulated value are 7.9%and 8.3%,respectively.In the 10 Hz frequency band,the average error between the transmission rate obtained by the model and the experimental transmission rate is 8%,which is in good agree⁃ment with the test data,which verifies the correctness of the Bouc-Wen model of the inerter-rubber vibration iso⁃lator.