Flexural vibration in a homogeneous isotropic heat conducting cylindrical panel
resting on the elastic medium (Winkler model) is investigated in the context of Coupled
theory of thermoelasticity (CT) and Lord-Shulman (LS) generalized theory of thermoelasticity.
The analysis is carried out by introducing three displacement potential functions so that the
equations of motion are uncoupled and simplified. A modified Bessel function solution with
complex arguments is then directly used for the case of complex eigen values. In order to
illustrate theoretical development, numerical solutions are obtained for non-dimensional
frequency, attenuation coefficient (symmetric and skew symmetric) and are presented
graphically for a zinc material. The numerical results indicate that the effect of thermal
relaxation time and the damping of embedded medium on the non-dimensional frequency are
very pronounced and also LS model is suitable for elastic material.
Keywords: flexural vibration; heat conducting cylindrical panel resting on elastic foundation
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