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Abstract
In this paper, we propose a workingset approach for sizing optimization of structures subjected to timedependent loads. The optimization problems we consider have a very large number of constraints while relatively few design variables and degrees of freedom. Instead of solving the original problem directly, we solve a sequence of smaller subproblems. The subproblems consider only constraints in the working set, which is a small subset of all constraints. After each subproblem, we compute all constraint function values for the current design and add critical constraints to the working set. The algorithm terminates once an optimal point to a subproblem is found that satisfies all constraints of the original problem. We tested the approach on several reproducible problem instances and demonstrate that the approach finds optimal points to the original problem by only considering a very small fraction of all constraints. The proposed approach drastically reduces the memory storage requirements and computational expenses of the linear algebra in the optimization solver and the computational cost of the design sensitivity analysis. Consequently, the approach can efficiently solve largescale optimization problems with several hundred millions of constraints.
Original language  English 

Journal  Structural and Multidisciplinary Optimization 
Volume  58 
Issue number  4 
Pages (fromto)  13671382 
ISSN  1615147X 
DOIs  
Publication status  Published  2018 
Keywords
 Dynamic response optimization
 Sizing optimization
 Stress constraints
 Timedependent constraints
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 1 Finished

ABYSS: Advancing BeYond Shallow waterS  Optimal design of offshore wind turbine support structures
Stolpe, M., Buhl, T., Bredmose, H., Zania, V., Natarajan, A., Schløer, S. & Sørensen, J. D.
Danish Council for Strategic Research
01/01/2014 → 31/12/2017
Project: Research