Large Deformation Theory of Plate

• Main Authors: Ying-Liang Chiang, 江英良
• Other Authors: Yung-Ming Wang
• Format: Others
• Language: zh-TW
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/22959755964667776471

碩士 === 國立成功大學 === 土木工程學系碩博士班 === 94 === In this paper, form the configurations of the plate before and after deformed, we derive its strains and equilibrium equations under large displacement. Using the coordinate of the middle surface of the plate and its transverse shear strains as the field functions, five nonlinear partial differential equations are established for the system. To solve those nonlinear equations, we adopt the Newton-Raphson method to linearlize the differential equations and using the differential reproducing kernel method to solve the linearlized differential equations. A numerical solution for plate under pure bending is examined with the analytic solution. Furthermore, some numerical solutions for the plate under various loads are comparing with the solutions derived from classic plate theory. The result shows that present theory is useful in analysis of the plate under large displacement.