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The propagation of torsional waves in composite, infinitely long, tractionfree, circular, cylindrical rods is investigated on the basis of the three-dimensional linear theory of elasticity. The composite rods consist of an internal circular rod made of one material, bounded by and bonded to a circular casing made of another material. The effect of the variation of the geometric and physical parameters on the frequency of the torsional motion is discussed. It is shown that, in general, for composite rods, the first torsional mode (no nodes along the radius) may not exist uncoupled.
Anthony E. Armenàkas (Wed,) studied this question.