ON THE CHOICE OF OBJECTIVES IN SHAPE OPTIMIZATION
- 27 April 1987
- journal article
- research article
- Published by Taylor & Francis in Engineering Optimization
- Vol. 11 (1) , 89-102
- https://doi.org/10.1080/03052158708941039
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.Keywords
This publication has 9 references indexed in Scilit:
- Optimal Shape Design of Axisymmetric StructuresPublished by Springer Nature ,1986
- On the accurate determination of stress derivativesCommunications in Applied Numerical Methods, 1985
- Two-dimensional shape optimal design by the finite element methodInternational Journal for Numerical Methods in Engineering, 1980
- An optimization procedure for stress concentrations by the finite element techniqueInternational Journal for Numerical Methods in Engineering, 1979
- Design sensitivity analysis of elastic mechanical systemsComputer Methods in Applied Mechanics and Engineering, 1978
- SHAPE OPTIMIZATION OF STRUCTURAL SYSTEMS USING FINITE ELEMENTS AND SEQUENTIAL LINEAR PROGRAMMINGPublished by Elsevier ,1977
- On the optimum shape of fillets in plates subjected to multiple in‐plane loading casesInternational Journal for Numerical Methods in Engineering, 1976
- Optimization of shape to minimize stress concentrationJournal of Strain Analysis, 1975
- Local and global smoothing of discontinuous finite element functions using a least squares methodInternational Journal for Numerical Methods in Engineering, 1974