橡胶隔振器静态力-位移关系计算方法的研究

Calculating methods for force versus displacement relation of a rubber isolator

测试了橡胶试片在单轴向拉伸、等双轴拉伸和平面剪切应力-应变状态下的应力-应变关系。利用测试得到橡胶试片在不同状态下应力-应变关系,和应用不同的本构模型,拟合得到了不同模型的材料常数。以两个橡胶悬置为研究对象,对橡胶隔振器进行三向静态力-位移特性分析,并与测试值进行对比。橡胶悬置1主要承受拉压变形或剪切变形,而悬置2则同时承受拉压和剪切变形。以悬置1和悬置2为研究对象,应用Mooney-Rivlin本构模型,计算分析了利用不同应力-应变状态得到的本构模型常数对橡胶隔振器力-位移关系计算结果的影响。以悬置2为研究对象,采用同一种应力-应变状态获取的本构模型常数,分析了本构模型对橡胶隔振器静态力-位移特性计算结果的影响。

The stress versus strain relations of a rubber material under simple tension, pure shear and equi-biaxial tension stress versus strain conditions were measured. The constitutive constants in different constitutive models, such as, Mooney-Rivlin, Van Der Waals, Marlow, Ogden et al. were obtained using the least square method with the stress versus strain relations measured in different conditions. Two rubber mounts were used to calculate the force versus displacement relations in three-direction using different constitutive models. Mount I was a tension or shear type mount, while mount II bore tension and shear deformations simultaneously. The effect of constitutive constants on the calculated force versus displacement relation were obtained and discussed by comparing the experimental stiffness and the estimated stiffness with Mooney-Rivlin model of mount I and those of mount II. The effects of Mooney-Rivlin model, Van Der Waals model, Marlow model, Ogden model, Yeoh model and Arruda-Boyce model on the calculated force versus displacement relation for mount II were presented when the stress versus strain conditions are the same for obtaining constitutive constants.