Application of new double side approach method to the solution of super-elliptical plate problems

作者：Tang Hsiang Wen; Yang Yue Tzu; Chen Cha Kuang^*

来源：Acta Mechanica, 2012, 223(4): 745-753.

DOI：10.1007/s00707-011-0592-x

The new double side approach method combining the mathematical programming and the subdomain method in the method of weighted residual is presented in this article. Under the validation of maximum principle, and up on the subdomain method, the differential equation can be transferred into a bilateral inequality problem. Applying the genetic algorithms helps to find optimal solutions of upper and lower bounds which satisfy the inequalities. Here, the method is first verified by analyzing the deflection of elliptical clamped plate problem under various aspect ratios and further apply it to analyze the clamped super-elliptical plates problem. By using this method, the good approximate solution can be obtained accurately.

• 出版日期2012-4