THREE DIMENSIONAL BUCKLING ANALYSIS OF FG CYLINDRICAL PANELS UNDER VARIOUS THERMAL LOAD CONDITIONS

Abstract

In this paper, buckling analysis of cylindrical panels made of functionally graded material under the action of three types of thermal loads is investigated. At first, Governing equations of panels are obtained based on the second Piola-Kirchhoff stress tensor using three dimensional theory of elasticity. Stability equations of the shells subjected to thermal loading based on the Donnell shell theory are considered. Two methods of solution are employed. In the first method governing equations obtained by benchmark solution are discretized and solved using differential quadrature method. Then the closed form solution is presented for the buckling equations based on the Donnell shell theory. It is assumed that material properties of the shell vary continually through the thickness according to a power law distribution of the volume fraction of constituent materials, while the Poisson’s ratio is constant. The effects of various parameters including the power law exponent, panel angle, different thermal load conditions and geometric ratios on the buckling behavior of functionally graded cylindrical panels are studied.

Keywords

• buckling
• cylindrical panel
• thermal loading
• functionally graded material
• differential quadrature