Axisymmetrical vibrations of a circular sandwich shell with a viscoelastic core layer.

Abstract Axisymmetrical vibration of a finite-length cylindrical sandwich shell with a viscoelastic core layer is investigated. Expressing the viscoelastic property of the core material in terms of a complex shear modulus, the partial differential equation of motion is derived. The solution of this differential equation subject to satisfying the boundary conditions, which have been discussed in detail, yields the frequency equation and the corresponding composite loss-factors. With these, the vibrational characteristics of the sandwich shell can be studied. The limiting case of the results obtained here applies to the transverse vibration of sandwich plates and sandwich beams with viscoelastic cores.