A multicriteria objective function optimization scheme for laminated composites for use in multilevel structural optimization schemes
type: Item
instance of: scholarly article
title: A multicriteria objective function optimization scheme for laminated composites for use in multilevel structural optimization schemes
zbMATH Open document ID: 0587.73137
DOI: 10.1016/0045-7825(87)90111-3
author: B. George
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: A multilevel optimization scheme for large laminated composite structures is proposed, and a suitable element/lower-level optimization scheme using a multicriteria objective function is developed. The objective function combines a weight function and a strain energy change function into a utility function which is minimized and in which the relative importance of each part is reflected by weighting coefficients. Minimizing the change in strain energy ensures load path continuity in the overall structure when switching between upper and lower levels of optimization, and so decouples the problems at the two levels. Continuous lamina thickness and ply-angle variation is used to minimize the objective function while satisfying strain, buckling, and gauge constraints. Numerical applications are given to illustrate the effect of the weighting coefficients in the objective function on the final result, and to demonstrate the algorithm's effectiveness as a pure weight minimization routine.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 3943233
zbMATH Keywords: multilevel optimization scheme
zbMATH Keywords: large laminated composite structures
zbMATH Keywords: element/lower-level optimization scheme
zbMATH Keywords: multicriteria objective function
zbMATH Keywords: weight function
zbMATH Keywords: strain energy change function
zbMATH Keywords: minimized utility function weighting coefficients
zbMATH Keywords: continuous lamina thickness
zbMATH Keywords: ply-angle variation
zbMATH Keywords: buckling
zbMATH Keywords: gauge constraints
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90111-3
OpenAlex ID: W2036621733
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description: scientific article; zbMATH DE number 3943233