Abstract
The theory of torsional vibrations of a circular, hollow cylinder with a piecewise constant periodic variation of rigidity modulus and mass density is developed in terms of Floquet waves. The dispersion spectrum is shown to have a band structure, and the arrangement of characteristic sequence at the end-points of the Brillouin zone is studied. The problem of co-existence of periodic solution is examined in detail and the regions of stability and lability are charted.
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