Tvarová optimalizace ve strukturálních úlohách řešených pomocí MKP

Abstract

The thesis deals with parametric shape optimization of static structural problems in combination of FEA software and pure mathematical optimization software. The aim of the thesis is twofold. Firstly, evaluation of which method is better for the specific range of problems in linear static structural analysis solved by FEM. The second aim is comparison of user written optimization methods in Matlab with optimization methods available in professional engineering optimization software. Both aims have been achieved by testing the methods on three testing problems with low number of parameters (3-4). Analysis of selected testing problems showed that it is not possible to find single method which could be efficiently used in solving these problems, not even in a basic range of problems such as linear static structural analysis. Besides, not even professional software can solve the problems that an engineer may encounter in this very basic are of optimization.