Mater.Phys.Mech.(MPM)
No 2, Vol. 17, 2013, pages 121-134

FLEXURAL VIBRATION IN AHEAT CONDUCTING CYLINDRICAL
PANEL RESTING ON WINKLER ELASTIC FOUNDATION

R. Selvamani, P. Ponnusamy

Abstract

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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