Mechanical Analysis of FGM Plates with Two Opposite Edges Simply Supported and Two other Edge Beams Subjected to Uniform Load

• Main Authors: Tzu-Hsien Feng, 馮姿嫻
• Other Authors: Yen-Ling Chung
• Format: Others
• Language: zh-TW
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/78163107459436416074

碩士 === 國立臺灣科技大學 === 營建工程系 === 98 === ABSTRACT The main purpose of this research is to analyze the mechanical analysis of FGM plates with two opposite edges simply supported and two other edge beams subjected to uniform load by Fourier series expansion. It is assumed that the Poisson’s ratio of the FGM plates remains constant, however the Young's modulus of the FGM plates vary along the thickness direction. The study is concentrated to three kinds of distributions of Young's modulus, which are power-law function (P-FGM), sigmoid function (S-FGM), and exponential function (E-FGM). And three type of plates which are FGM plates, FGM coated plates, and FGM undercoated plates are under considered. To obtain the analytical solution, the problem is divided into five topics first, and then according to the principle of superposition, the edge deflections and edge rotations of the plate are solved. The analytical solutions are compared with the numerical solutions obtained by MARC software of finite element method. Results show that the analytical solutions of the stresses in the center of the FGM plate, the strains along the z-direction, and the deflections along the y-axies agree very well with the numerical solutions. Moreover, the study is also focused on the effects of the stiffness of the edge beams on the deflections of the FGM plates.