Analysis of Plates by the Moving Least Work Method

• Main Authors: Yen-ChunMiao, 苗延鈞
• Other Authors: Yung-Ming Wang
• Format: Others
• Language: zh-TW
• Published: 2018
• Online Access: http://ndltd.ncl.edu.tw/handle/fudr48

碩士 === 國立成功大學 === 土木工程學系 === 106 === In this thesis, the Moving Least Work (MLW) method is used to model the mechanical behaviors of Mindlin Plates. This method uses the Moving Least Work approach to establish approximating functions. In the weight-residual problem precess, the residual value is multiplied by the weight function and multiplied by the conjugate residual value, so that it contains the conception of the least work. Finally we used the point collocation method to get the solutions of displacement fields and stress resultant fields. The simply supported Mindlin plate is modeled under the sinusoidal load, and the boundary-value problems are solved by polynomial-analytic solutions. Using different basis functions and changing the numbers of the uniform-distributed points, we compared the numerical solutions with analytic solutions to validate the feasibility and convergence of the present method.