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6 April 2009 Genetic algorithm-based multi-objective optimal absorber system for three-dimensional seismic structures
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The problem of optimizing an absorber system for three-dimensional seismic structures is addressed. The objective is to determine the number and position of absorbers to minimize the coupling effects of translation-torsion of structures at minimum cost. A procedure for a multi-objective optimization problem is developed by integrating a dominance-based selection operator and a dominance-based penalty function method. Based on the two-branch tournament genetic algorithm, the selection operator is constructed by evaluating individuals according to their dominance in one run. The technique guarantees the better performing individual winning its competition, provides a slight selection pressure toward individuals and maintains diversity in the population. Moreover, due to the evaluation for individuals in each generation being finished in one run, less computational effort is taken. Penalty function methods are generally used to transform a constrained optimization problem into an unconstrained one. The dominance-based penalty function contains necessary information on non-dominated character and infeasible position of an individual, essential for success in seeking a Pareto optimal set. The proposed approach is used to obtain a set of non-dominated designs for a six-storey three-dimensional building with shape memory alloy dampers subjected to earthquake.
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Wenjie Ren, Hongnan Li, Gangbing Song, and Linsheng Huo "Genetic algorithm-based multi-objective optimal absorber system for three-dimensional seismic structures", Proc. SPIE 7288, Active and Passive Smart Structures and Integrated Systems 2009, 72882A (6 April 2009);

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