初应力耗散圆柱中扭转波的传播
Torsional waves propagation in an initially stressed dissipative cylinder
摘要：
本文研究了阻尼对初始应力、耗散、不可压缩无限长圆柱体中扭转波传播的影响。根据Biot增量变形理论，建立了控制方程.扭转波的传播速度是复数形式的，其中实部为传播相速度，虚部为阻尼。研究表明，介质的阻尼对扭转波的传播有很大的影响。由于每种介质都有阻尼，所以用阻尼波动方程代替无阻尼波动方程更为实际。研究还表明，这种波的传播速度取决于初始应力的存在。阻尼和初始应力的影响分别显示。
英文摘要：
The present paper has been framed to show the effect of damping on the propagation of torsional waves in an initially stressed, dissipative, incompressible cylinder of infinite length. A governing equation has been formulated on Biot's incremental deformation theory. The velocities of torsional waves are obtained as complex ones, in which real part gives the phase velocity of propagation and corresponding imaginary part gives the damping. The study reveals that the damping of the medium has strong effect in the propagation of torsional wave. Since every medium has damping so it is more realistic to use the damped wave equation instead of the undamped wave equation. The study also shows that the velocity of propagation of such waves depend on the presence of initial stress. The influences of damping and initial stresses are shown separately.
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