Full Text:   <2718>

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CLC number: TH133.5; TP391

On-line Access: 2014-10-08

Received: 2013-09-18

Revision Accepted: 2014-07-22

Crosschecked: 2014-09-29

Cited: 10

Clicked: 6248

Citations:  Bibtex RefMan EndNote GB/T7714

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Journal of Zhejiang University SCIENCE A 2014 Vol.15 No.10 P.774-788


Interval multiobjective optimization of structures based on radial basis function, interval analysis, and NSGA-II*

Author(s):  Jin Cheng1, Gui-fang Duan1, Zhen-yu Liu2, Xiao-gang Li1, Yi-xiong Feng1, Xiao-hai Chen3

Affiliation(s):  1. State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   gfduan@zju.edu.cn

Key Words:  Interval multiobjective optimization, Uncertainty, Radial basis function (RBF), Interval analysis method, Non-dominated sorting genetic algorithm (NSGA-II)

Jin Cheng, Gui-fang Duan, Zhen-yu Liu, Xiao-gang Li, Yi-xiong Feng, Xiao-hai Chen. Interval multiobjective optimization of structures based on radial basis function, interval analysis, and NSGA-II[J]. Journal of Zhejiang University Science A, 2014, 15(10): 774-788.

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author="Jin Cheng, Gui-fang Duan, Zhen-yu Liu, Xiao-gang Li, Yi-xiong Feng, Xiao-hai Chen",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Interval multiobjective optimization of structures based on radial basis function, interval analysis, and NSGA-II
%A Jin Cheng
%A Gui-fang Duan
%A Zhen-yu Liu
%A Xiao-gang Li
%A Yi-xiong Feng
%A Xiao-hai Chen
%J Journal of Zhejiang University SCIENCE A
%V 15
%N 10
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%@ 1673-565X
%D 2014
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1300311

T1 - Interval multiobjective optimization of structures based on radial basis function, interval analysis, and NSGA-II
A1 - Jin Cheng
A1 - Gui-fang Duan
A1 - Zhen-yu Liu
A1 - Xiao-gang Li
A1 - Yi-xiong Feng
A1 - Xiao-hai Chen
J0 - Journal of Zhejiang University Science A
VL - 15
IS - 10
SP - 774
EP - 788
%@ 1673-565X
Y1 - 2014
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1300311

To improve the multiple performance indices of practical engineering structures under uncertainties, an interval constrained multiobjective optimization model was constructed with structural performance indices included in objectives and constraints being functions of the interval uncertain parameters. An algorithm integrating radial basis function (RBF), interval analysis, and non-dominated sorting genetic algorithm (NSGA-II) was put forward to locate the Pareto-optimal solutions to the interval multiobjective optimization model. A series of RBFs were constructed based on the Latin hypercube experimental design (LHED) and finite element analysis (FEA), which were then integrated with interval analysis to compute the interval bounds of the objective and constraint functions under the fluctuation of uncertain parameters. Then the fitness of every individual during the NSGA-II-based optimization could be obtained. The case study on the optimization of the mechanical performance of a press slider with uncertain material properties demonstrated the feasibility and validity of the proposed methodology.



Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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