MODELING AND ANALYSIS OF WAVES IN A HEAT CONDUCTING THERMO-ELASTIC PLATE OF ELLIPTICAL SHAPE
Keywords:
VIBRATION OF THERMAL PLATE, PLATE IMMERSED IN FLUID, GENERALIZED THERMO ELASTIC PLATE, PIEZOELECTRIC THERMAL PLATE.Abstract
WAVE PROPAGATION IN HEAT CONDUCTING THERMO ELASTIC PLATE OF ELLIPTICAL CROSS-SECTION IS STUDIED USING THE FOURIER EXPANSION COLLOCATION METHOD BASED ON SUHUBI’S GENERALIZED THEORY. THE EQUATIONS OF MOTION BASED ON TWO-DIMENSIONAL THEORY OF ELASTICITY IS APPLIED UNDER THE PLANE STRAIN ASSUMPTION OF GENERALIZED THERMO ELASTIC PLATE OF ELLIPTICAL  CROSS-SECTIONS COMPOSED OF HOMOGENEOUS ISOTROPIC MATERIAL. THE FREQUENCY EQUATIONS ARE OBTAINED BY USING THE BOUNDARY CONDITIONS ALONG OUTER AND INNER SURFACE OF ELLIPTICAL CROSS-SECTIONAL PLATE USING FOURIER EXPANSION COLLOCATION METHOD. THE COMPUTED NON-DIMENSIONAL FREQUENCIES ARE PLOTTED IN DISPERSION CURVES FOR LONGITUDINAL AND FLEXURAL (SYMMETRIC AND ANTISYMMETRIC) MODES OF VIBRATIONS.
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