Finite elements, genetic algorithms and β-splines: a combined technique for shape optimization

摘要

Shape optimization consist in changing the boundary shape of the structure to find the optimal design by verifying the prescribed constraints. Generally, this problem has been solved by replacing the originally design problem by a sequence of explicit subproblems. They are constructed by means of local approxima- tion concepts based on function values and derivatives at the current design point. The aim of this paper is to propose a different approach to solve bidimensional shape optimization problems by using Genetic Algorithms.