A modified multi-objective particle swarm optimization approach and its application to the design of a deepwater composite riser

Y.Zheng; J.Chen

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A modified multi-objective particle swarm optimization approach and its application to the design of a deepwater composite riser

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摘要

A modified multi-objective particle swarm opti-mization method is proposed for obtaining Pareto-optimal solutions effectively. Different from traditional multi-objective particle swarm optimization methods, Kriging meta-models and the trapezoid index are introduced and integrated with the traditional one. Kriging meta-models are built to match expensive or black-box functions. By applying Kriging meta-models,function evaluation numbers are decreased and the boundary Pareto-optimal solutions are identified rapidly. For bi-objective optimization prob-lems, the trapezoid index is calculated as the sum of the trapezoid's area formed by the Pareto-optimal solu-tions and one objective axis. It can serve as a measure whether the Pareto-optimal solutions converge to the Pareto front. Illustrative examples indicate that to obtain Pareto-optimal solutions, the method proposed needs fewer func-tion evaluations than the traditional multi-objective particle swarm optimization method and the non-dominated sort-ing genetic algorithm II method, and both the accuracy and the computational efficiency are improved. The pro-posed method is also applied to the design of a deepwater composite riser example in which the structural perfor-mances are calculated by numerical analysis. The design aim was to enhance the tension strength and minimize the cost. Under the buckling constraint, the optimal trade-off of tensile strength and material volume is obtained. The results demonstrated that the proposed method can effec-tively deal with multi-objective optimizations with black-box functions.

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《力学学报：英文版》 |2018年第002期|275-284|共10页
作者
Y.Zheng; J.Chen;
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作者单位

Department of Mechanics,Huazhong University of Science and Technology,Wuhan 430074,China;

Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment,Wuhan 430074,China;

Department of Mechanics,Huazhong University of Science and Technology,Wuhan 430074,China;

Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment,Wuhan 430074,China;

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A modified multi-objective particle swarm optimization approach and its application to the design of a deepwater composite riser

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