粘弹正交各向异性空心圆柱体周向SH波

基于Kelvin-Voight模型，推导了粘弹正交各向异性空心圆柱体周向SH波控制方程，得出了SH波特性受两个弹性常数与粘性系数的影响。通过第一类和第二类Bessel函数，求出频散方程。计算了四种不同径厚比下的相速度频散曲线和衰减曲线，分析了径厚比的变化对频散和衰减曲线的影响。为了与正交各向异性相比较，计算了粘弹各向同性空心圆柱体中周向SH波，并讨论了两个弹性常数和粘性系数对频散曲线和衰减曲线的影响。

GUIDED CIRCUMFERENTIAL SH WAVE IN ORTHOTROPIC VISCOELASTIC HOLLOW CYLINDERS

Based on Kelvin-Voight viscoelasticity, the circumferential SH wave controlling equations of orthotropic viscoelastic hollow cylinders are deduced. The SH wave characteristics are controlled by two elastic constants and their corresponding viscous coefficients. By the first and second Bessel functions, the exact dispersion equation is obtained. The phase velocity dispersion curves and attenuation curves for four different ratios of outer radius to thickness are calculated. The influences of the ratio are analyzed. Then the cases of isotropic viscoelastic hollow cylinders are calculated to show their differences. The effects of the two elastic constants and viscous coefficients on the dispersion and attenuation are discussed.