Asymmetric vibration of multilayered conical shell with
core layers of viscoelastic material are
investigated in this paper. The analysis presented
herein considers bending, extension in plane shear
and transverse shear deformations in each of the
layers, and also includes rotary, longitudinal
translatory and transverse inertias. Appropriate
trigonometric series are used as solution functions
in the Galerkin method to reduce the governing
equations to a set of matrix equations. The
corresponding principle of linear viscoelasticity
for harmonic motion is used for evaluating the
damping effectiveness of shells with elastic and
viscoelastic layers. A computer program has been
developed for determining the resonance frequencies
and associated system loss factors for various modes
of families of asymmetric vibration of a general
multilayered conical shell consisting of an
arbitrary number of specially orthotropic material
layers. Variation of resonance frequencies and the
associated system loss factors with total thickness
parameter and circumferential modal number for
three, five and seven layered conical shells, with
three sets of classical end conditions: simply
supported at both ends, clamped-clamped and
free-free, which can be of some use to designers,
are been reported.