Free Torsional Vibrations of a Hollow Cylinder with Laminated Periodic Structure

摘要

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 band structure, and the arrangement of characteristics 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. (Author)