Large Deflections of Heated Functionally Graded Simply Supported Rectangular Plates with Varying Rigidity in Thickness Direction

摘要

The present study extends previous work concerning the large deflection of heated functionally graded rectangular plates with varying rigidity in thickness direction. The governing equations for the large deflection of heated functionally graded elastic, rectangular plates with varying Young's modulus in thickness direction are derived by Berger and Karman approach. We assumed that the functionally graded Young's modulus varies symmetrically to the middle plane according to the nth power of the non-dimensional thickness. For a rectangular simply supprted plate affected by a temperature distribution as seen in aerodynamic heating and prevented from inplane motions on the boundary, the governing equations were sovled by means of the Poincare method.