A multiparametric strategy for the two step optimization of structural assemblies

Generally speaking, the objective and constraint functions of a structural optimization problem are implicit with respect to the design variables; their evaluation requires finite element analyses which constitute the most expensive steps of the optimization algorithm. The work presented in this pap...

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Bibliographic Details
Published inStructural and multidisciplinary optimization Vol. 47; no. 4; pp. 539 - 553
Main Authors Soulier, B., Boucard, P.-A.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.04.2013
Springer Nature B.V
Springer Verlag
Subjects
Algorithms
Assemblies
Computation
Computational Mathematics and Numerical Analysis
Computer simulation
Cost control
Empirical analysis
Engineering
Engineering Design
Engineering Sciences
Finite element method
Mechanics
Metamodels
Optimization
Research Paper
Strategy
Structural mechanics
Theoretical and Applied Mechanics
Multiparametric strategy
LATIN method
Two step optimization
Metamodel
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Summary:Generally speaking, the objective and constraint functions of a structural optimization problem are implicit with respect to the design variables; their evaluation requires finite element analyses which constitute the most expensive steps of the optimization algorithm. The work presented in this paper concerns the implementation of a two step optimization strategy which consists in optimizing first an empirical model (metamodel), then the full model. In the framework of multilevel model optimization, the computation costs are related, on the one hand, to the construction of global approximations and, on the other hand, to the optimization of the full model. Thus, many numerical simulations are required in order to perform a multilevel optimization. In this context, the objective of associating a multiparametric strategy based on the nonincremental LATIN method with the two step optimization process is to reduce these computation costs. The performance gains thus achieved will be illustrated through the optimization of structural assemblies involving contact with friction. The results obtained will show that the savings associated with the multiparametric procedure can reach a factor of 30.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-012-0854-9