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Published 2011 | public
Journal Article

On the Structural Shape Optimization through Variational Methods and Evolutionary Algorithms

Abstract

We employ the variational theory of optimal control problems and evolutionary algorithms to investigate the form finding of minimum compliance elastic structures. Mathematical properties of ground structure approaches are discussed with reference to arbitrary collections of structural elements. A numerical procedure based on a Breeder Genetic Algorithm is proposed for the shape optimization of discrete structural models. Several numerical applications are presented, showing the ability of the adopted search strategy in avoiding local optimal solutions. The proposed approach is validated against a parade of results available in the literature.

Additional Information

© 2011 Taylor and Francis Group, LLC. Received 29 February 2008; accepted 26 July 2008. Available online: 21 Jun 2011. The authors would like to thank Fabio Formato, graduate student at the Department of Civil Engineering of the University of Salerno, for his precious collaboration with the numerical study on the optimal shape of St. Peter's cupola. F.F. greatly acknowledges the support of the Italian MIUR through the 2007 grant "Energetic Methods in Fracture Mechanics and Biomechanics."

Additional details

Created:
August 22, 2023
Modified:
October 24, 2023