Parametric optimization with the use of numerically efficient finite element models

Abstract

This article presents numerically efficient computational models for solving exemplary problems of parametric optimization with the use of the finite element method. Building computational models involved applying a non-standard usage of superelements. In the problems of static analysis, static condensation method was used for model reduction. In the case dynamic problem, component mode synthesis method was applied. The advantages of the adopted modelling methodology were shown with reference to the time required to find the optimal solution. The issue, so far overlooked in this type of analyses, of the relationship between the modelling methodology and the size of the files generated during the analysis was also mentioned.