Abstract
The forced torsional vibration of an elastic circular rod, whose lower end is attached to the free surface of an elastic half space or stratum, while the upper end is subjected to a periodic torque is investigated. Expression for the driving point impedance is obtained for low-frequency oscillations using specific boundary conditions at the interface. Resonance curves are plotted which exhibit the damping of the vibrations of the rod due to dissipation of waves to infinity. It is found that damping increases as the length-to-radius ratio of the rod decreases. Damping also increases as the ratio of shear modulus of the support to the shear modulus of the rod decreases. If a stratum supports the rod, the damping is lesser when the lower face of the stratum is rigidly fixed than when it is free.
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