ON THE CHOICE OF OBJECTIVES IN SHAPE OPTIMIZATION

Abstract
This paper is concerned with the choice of objectives or multiobjectives for the optimal shape design of axisymmetrical structures which are loaded symmetrically or non-symmetrically. The analysis of the structure is performed using the finite element method and the displacements are developed in Fourier series to take into account non axisymmetrical loadings: The following topics which have been presented in detail in earlier papers are briefly summarized — definition of the shape and selection of the design variables — analysis of the structure — sensitivity analysis and optimization method.In this paper attention is focused on the following topics: — choice of the objective functions — multicriterion optimization by combining different objective functions — multicriterion optimization by combining different terms of Fourier series — results and applications.

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