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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 5978375, 14 pages
Research Article

Optimization of Support Structures for Offshore Wind Turbines Using Genetic Algorithm with Domain-Trimming

1Department of Civil Engineering, American University of Sharjah, Sharjah, UAE
2Department of Civil Engineering, University of Sharjah, Sharjah, UAE

Correspondence should be addressed to Mohammad AlHamaydeh

Received 18 December 2016; Revised 5 April 2017; Accepted 10 May 2017; Published 8 August 2017

Academic Editor: Filippo Ubertini

Copyright © 2017 Mohammad AlHamaydeh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The powerful genetic algorithm optimization technique is augmented with an innovative “domain-trimming” modification. The resulting adaptive, high-performance technique is called Genetic Algorithm with Domain-Trimming (GADT). As a proof of concept, the GADT is applied to a widely used benchmark problem. The 10-dimensional truss optimization benchmark problem has well documented global and local minima. The GADT is shown to outperform several published solutions. Subsequently, the GADT is deployed onto three-dimensional structural design optimization for offshore wind turbine supporting structures. The design problem involves complex least-weight topology as well as member size optimizations. The GADT is applied to two popular design alternatives: tripod and quadropod jackets. The two versions of the optimization problem are nonlinearly constrained where the objective function is the material weight of the supporting truss. The considered design variables are the truss members end node coordinates, as well as the cross-sectional areas of the truss members, whereas the constraints are the maximum stresses in members and the maximum displacements of the nodes. These constraints are managed via dynamically modified, nonstationary penalty functions. The structures are subject to gravity, wind, wave, and earthquake loading conditions. The results show that the GADT method is superior in finding best discovered optimal solutions.