MODELING AND ANALYSIS OF WAVES IN A HEAT CONDUCTING THERMO-ELASTIC PLATE OF ELLIPTICAL SHAPE

Authors

  • DR. R. SELVAMANI ASSISTANT PROFESSOR, DEPARTMENT OF MATHEMATICS.
  • DR.P PONNUSAMY ASSOCIATE PROFESSOR, DEPARTMENT OF MATHEMATICS.

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.

Author Biography

DR. R. SELVAMANI, ASSISTANT PROFESSOR, DEPARTMENT OF MATHEMATICS.

ASSISTANT PROFESSOR,
DEPARTMENT OF MATHEMATICS.

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Published

2014-11-04

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Section

Articles