粘弹性Hopkinson压杆中波的衰减和弥散

研究了线性粘弹性Hopkinson压杆中由于粘性效应和横向惯性效应引起的就力波衰减和弥散。导出计及横向惯性效应的线性粘弹性杆中纵波控制方程和应力解应变解，进而导出表征波衰竭和弥散性质的纵波传播系数的修正公式。这一修正公式计入粘性效应和几何效应，与Bacon公式相比，其形式简单，更便于在实验数据处理中应用。最后利用实验方法测定了有机玻璃杆的传播系数。

THE WAVE PROPAGATION ATTENUATION AND DISPERSION IN A VISCOELASTIC HOPKINSON PRESSURE BAR

The wave propagation attenuation and dispersion due to the material viscosity effects and the bar radial inertia effects in a linear viscoelastic Hopkinson Pressur Bar are analyzed. The governing equations for longitudinal linear viscoelastic waves propagation in a thin bar with geometric effects are deduced, and the expressions for the normal stress and strain are given. Furthermore, a modified mathematical formula for propagation coefficient, representative of the wave dispersion and attenuation, is derived. The modified formula, in which viscosity effects and geometric effects are taken into account, is simple in form and convenient for calculating comparing with the general equation given by Bacon. Finally, the propagation coefficients for PMMA bar are determined experimentally.