传感器弹性元件本构模型参数拟合研究

针对多维位移测量系统结构复杂、成本高等缺点，课题组提出一种单一固体集成传感器，为了准确描述传感器弹性元件力学特性，在不同应变率下对传感器弹性元件进行准静态单轴压缩试验。将超弹性本构模型运用泰勒展开式进行整理简化，得到应力 应变关系，利用Origin对应力 应变曲线进行数据拟合；选用Mooney Rivilin，Yeoh，Biderman和Ogden这4种超弹性本构模型对试验曲线进行描述。研究结果表明：Biderman模型对曲线的拟合效果最好，Mooney Rivilin模型拟合效果最差，其他模型都存在小应变拟合差和中等以上不同程度的偏离的情况。本研究得到的应力应变关系为传感器的进一步研究提供重要参考。

Parameter Fitting Study of Constitutive Model of Elastic Element of Sensor

Aiming at the disadvantages of complex structure and high cost of multi dimensional displacement measurement system, a single solid integrated sensor was proposed. In order to accurately describe the mechanical characteristics of the elastic element of the sensor, the quasi static uniaxial compression test of the elastic element of the sensor was carried out under different strain rates. The hyperelastic constitutive model was sorted and simplified by using Taylor expansion to obtain the stress strain relationship, and the stress strain curve was fitted by using Origin. Four hyperelastic constitutive models, Mooney Rivilin, Yeoh, Biderman and Ogden, were selected to describe the experimental curve. The results show that the Biderman model has the best fitting effect on the curve, the Mooney Rivilin model has the worst fitting effect, and other models have small strain fitting differences and moderate or higher deviations. The final obtained stress strain relationship provides an important reference for the further research on the sensor.