Torsional Stress Wave Propagation in a Semi-Infinite Conical Bar

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In this report, the phenomenon of torsional stress wave propagation in a conical bar is investigated based on the dynamic theory of elasticity. And the following results are obtained. At the wave front, the shear stress distribution has the same form as that of the torque applied, and the amplitude of the stress is inversely proportional to the distance between the apex and the observed point. The torque is transported only with the fundumental wave of which the shear stress distribution has sinusoidal form. Some time after the front passes away, it is permitted to replace approximately the transverse shear stress by that of the fundamental wave, however, complicated the stress distribution of the applied torque may be. As the apex angle becomes small, the degree of approximation becomes good.
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