On the mechanical impedances for torsional wave propagation in a solid elastic cylinder

An analysis of torsional wave propagation in a solid elastic cylinder from a new standpoint is undertaken. It reveals a set of mechanical impedanceversus wave-length curves for each member of the set signifying a separate mode of torsional wave propagation. A few expressions for the input impedances for terminated cylinders have been obtained and some numerical results for first few lower order modes have been presented. The method has been successfully utilized for evaluating impedances for a combination of two cylinders perfectly bonded together by an end-to-end joint.