VIBRATION AND BUCKLING ANALYSIS OF FUNCTIONALLY GRADED PLATES USING NEW EIGHT-UNKNOWN HIGHER ORDER SHEAR DEFORMATION THEORY

Authors

  • TRAN ICH THINH HA NOI UNIVERSTY OF TECHNOLOGY AND SCIENCE
  • TRAN MINH TU NATIONAL UNIVERSITY OF CIVIL ENGINEERING
  • TRAN HUU QUOC NATIONAL UNIVERSITY OF CIVIL ENGINEERING
  • NGUYEN VAN LONG CONSTRUCTION TECHNICAL COLLEGE NO.1

Keywords:

BUCKLING, VIBRATION ANALYSIS, FUNCTIONALLY GRADED MATERIALS, HIGHER ORDER SHEAR DEFORMATION THEORY, CLOSED-FORM SOLUTION,

Abstract

IN 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 CONϬRMED 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.

Published

2016-01-05

Issue

Section

Articles