Abstract
The dispersion spectrum is found for axially asymmetric torsional waves in an elastic, bimetallic rod with cylindrical core and concentric outer casing. Plotting of the various branches of the spectrum is simplified by the presence of discrete invariant points which are independent of the material properties and through which the spectral lines must pass. The slope and curvature of the spectral lines at cut-off frequencies, the asymptotic approximations at high frequency, the non-existence of complex branches, the problem of co-existence and the concept of energy flow are also studied.
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