基于反射系数测量的粘弹性材料动态力学参数反演方法

PDF(1360 KB)

振动与冲击 ›› 2014, Vol. 33 ›› Issue (17) : 85-89.

论文

基于反射系数测量的粘弹性材料动态力学参数反演方法

陶猛 1,2 赵阳1

作者信息 +

Back analysis of viscoelastic dynamic parametersbased on reflection coefficient measurement

Tao Meng 1,2 Zhao Yang 1

Author information +

文章历史 +

摘要

提出一种通过测量声学覆盖层的反射系数，并反演粘弹性材料动态力学参数的方法。分别测量圆柱空腔覆盖层在两种不同背衬条件下的反射系数，根据圆柱空腔覆盖层反射系数与其材料动态力学参数之间的解析关系，利用二元非线性方程组求根的牛顿迭代法，求解方程组可以获得粘弹性材料的复纵波声速和复剪切波声速，进而计算复杨氏模量和复泊松比等其它粘弹性动态力学参数。最后，对某种橡胶材料进行了声管测试，并对粘弹性动态力学参数的测量结果进行了分析和讨论。

Abstract

Based on measuring the reflection coefficient of acoustic layer, the back analyzing procedure of viscoelastic dynamic parameters has been developed. In order to get two different reflection coefficients, a periodic cylindrical-hole layer should be measured at two times with different acoustic terminations. Taking account to the analytical relationship between the reflection coefficient and the dynamic parameters of acoustic layer, together using Newton’s method for the nonlinear function of two independent variables, the complex longitudinal wave speed and the complex transverse wave speed will be obtained by solving a series of equations. Furthermore, the complex Young’s modulus and the complex Poisson’s ratio can be calculated easily. Finally, a rubber sample has been tested in the acoustic-pipe, and the identification results of viscoelastic dynamic parameters have been analyzed and discussed.

导出引用

陶猛;赵阳. 基于反射系数测量的粘弹性材料动态力学参数反演方法[J]. 振动与冲击, 2014, 33(17): 85-89

Tao Meng;Zhao Yang . Back analysis of viscoelastic dynamic parametersbased on reflection coefficient measurement[J]. Journal of Vibration and Shock, 2014, 33(17): 85-89