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Keywords: membranes, wrinkling, shape optimization, aggregated constraints, design of experiments, metamodel, multi-objective optimization.

Summary

This paper deals with stress-based optimization of membrane structures, where constraints on compressive stresses are used to avoid the formation of wrinkles on the membrane surface. The difficulty arises because a large number of constraints must be considered since stress is a local quantity and hence the problem becomes computationally intensive. The strategy of replacing the local compressive stresses by a global measure using the aggregated constraints approach is hence adopted. A shape optimization problem of a prestressed membrane roof is formulated such that the structural stiffness is increased by minimizing the strain energy subject to a single aggregated stress constraint. Further, an unconstrained multi-objective optimization problem is formulated and solved using a multi-objective genetic algorithm to find a representative set of Pareto-optimal solutions. For that purpose, a moving least squares metamodel has been built using sampling from an optimum latin hypercube design of experiments. Comparisons are then made between the single- and multi-objective optimization problem formulations.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 102 PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: Paper 226 Optimal Shape Design of Membrane Structures C.W. Lim¹ and V.V. Toropov^1,2 ¹School of Civil Engineering, University of Leeds, United Kingdom ²School of Mechanical Engineering, University of Leeds, United Kingdom doi:10.4203/ccp.102.226 purchase the full-text of this paper Full Bibliographic Reference for this paper C.W. Lim, V.V. Toropov, "Optimal Shape Design of Membrane Structures", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 226, 2013. doi:10.4203/ccp.102.226 Keywords: membranes, wrinkling, shape optimization, aggregated constraints, design of experiments, metamodel, multi-objective optimization. Summary This paper deals with stress-based optimization of membrane structures, where constraints on compressive stresses are used to avoid the formation of wrinkles on the membrane surface. The difficulty arises because a large number of constraints must be considered since stress is a local quantity and hence the problem becomes computationally intensive. The strategy of replacing the local compressive stresses by a global measure using the aggregated constraints approach is hence adopted. A shape optimization problem of a prestressed membrane roof is formulated such that the structural stiffness is increased by minimizing the strain energy subject to a single aggregated stress constraint. Further, an unconstrained multi-objective optimization problem is formulated and solved using a multi-objective genetic algorithm to find a representative set of Pareto-optimal solutions. For that purpose, a moving least squares metamodel has been built using sampling from an optimum latin hypercube design of experiments. Comparisons are then made between the single- and multi-objective optimization problem formulations. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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