MAGNETO-ELASTIC ANALYSIS OF AN ANNULAR FGM PLATE BASED ON CLASSICAL PLATE THEORY USING GDQ METHOD

Abstract

USING GDQ METHOD, THE RADIAL AND CIRCUMFERENTIAL STRESSES IN AN ANNULAR FGM PLATE UNDER A TRANSVERSE AXISYMMETRIC LOAD IS INVESTIGATED. IT IS ASSUMED THAT THE INNER AND OUTER RADII OF THE PLATE ARE CLAMPED AND A UNIFORM RADIAL MAGNETIC FIELD ACTS ON THE TOP SURFACE OF THE PLATE. THE MODULUS OF ELASTICITY E AND THE MAGNETIC PERMEABILITY COEFFICIENT OF THE PLATE ALONG ITS THICKNESS ARE ASSUMED TO VARY ACCORDING TO THE VOLUME DISTRIBUTION FUNCTION. THE POISSONÂS RATIO IS CONSIDERED TO BE CONSTANT. BASED ON THE CLASSICAL PLATE THEORY (CPT), EQUILIBRIUM EQUATIONS ARE DEDUCED AND THE DISPLACEMENT FIELDS ARE DETERMINED. THE RADIAL AND CIRCUMFERENTIAL STRESSES AS WELL AS THE STRESSES ARE OBTAINED ACCORDINGLY. THE EFFECT OF VOLUME FRACTION FUNCTION POWER M ON THE MAXIMUM DEFLECTION IN THE ABSENCE AND PRESENCE OF THE MAGNETIC FIELD IS ALSO INVESTIGATED. ACCORDING TO THE RESULTS, THE EFFECT OF ADDITIONAL LOADING INDUCED BY RADIAL MAGNETIC FIELD H SEEMS TO BE SUBSTANTIAL ON THE PLATE RADIAL AND TRANSVERSE DEFLECTIONS. ADDITIONALLY, FOR DIFFERENT POINTS ALONG THE RADIAL DIRECTION, THE APPLICATION OF RADIAL MAGNETIC FIELD VECTOR TO THE PLATE COMPLETELY CHANGES THE STATE STRESS IN RADIAL AND TANGENTIAL DIRECTIONS, RESULTING IN TENSILE AND COMPRESSIVE STRESSES IN THESE TWO DIRECTIONS.