VIBRATION AND BUCKLING ANALYSIS OF FUNCTIONALLY GRADED PLATES USING NEW EIGHT-UNKNOWN HIGHER ORDER SHEAR DEFORMATION THEORY
Keywords:BUCKLING, VIBRATION ANALYSIS, FUNCTIONALLY GRADED MATERIALS, HIGHER ORDER SHEAR DEFORMATION THEORY, CLOSED-FORM SOLUTION,
AbstractIN THIS PAPER A NEW EIGHT-UNKNOWN HIGHER ORDER SHEAR DEFORMATION THEORY IS PROPOSED TO STUDY THE BUCKLING AND FREE VIBRATION OF FUNC-TIONALLY GRADED (FG) MATERIAL PLATES. THE THEORY BASES ON FULL TWELVE--UNKNOWN HIGHER ORDER SHEAR DEFORMATION THEORY, SIMULTANEOUSLY SATISFIES ZERO TRANSVERSE STRESS AT THE TOP AND BOTTOM SURFACES OF FG PLATES. EQUATIONS OF MOTION ARE DERIVED FROM HAMILTONÂS PRINCIPLE. THE CRITICAL BUCKLING LOAD AND THE VIBRATION NATURAL FREQUENCY ARE ANALYZED. THE ACCURACY OF PRESENT ANALYTICAL SOLUTION IS CONÏ¬RMED BY COMPARING THE PRESENT RESULTS WITH THOSE AVAILABLE IN EXISTING LITERATURE. THE EFFECT OF POWER LAW INDEX OF FUNCTIONALLY GRADED MATERIAL, SIDE-TO-THICKNESS RATIO ON BUCKLING AND FREE VIBRATION RESPONSE OF FG PLATES IS INVESTIGATED.
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