A direct solution framework for structural optimization problems with interval uncertainties

被引：7
作者：
Fu, Chunming [1 ,2 ]
Liu, Zhiwen [1 ]
Deng, Jian [1 ]
机构：
[1] Univ South China, Coll Mech Engn, Hengyang 421001, Peoples R China
[2] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Eq, Hengyang 421001, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2020年 / 80卷
基金：
中国国家自然科学基金;
关键词：
Interval optimization; Multi-objective evolutionary algorithm; Uncertain structural design; Constrained-domination; MULTIOBJECTIVE ROBUST OPTIMIZATION; DESIGN;
D O I：
10.1016/j.apm.2019.11.029
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A direct solution framework based on multi-objective evolutionary algorithm is developed to solve the structural optimization problems with interval uncertainties. The midpoint and radius of the uncertain original objective are treated as two equally important objectives, which are solved by a multi-objective evolutionary algorithm. The satisfaction value of interval possibility degree model is utilized to deal with nonlinear uncertain constraints and then the degree of constraint violation based on this model is calculated to judge the design vector individuals which one is feasible or infeasible. Subsequently, a selection strategy based on interval constrained-domination rule is utilized to realize the ranking of different design vectors. Finally, two numerical examples and the structural design of augmented reality glasses are investigated to verify the applicability and effectiveness of the proposed method. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：384 / 393
页数：10
相关论文
共 34 条
[1]  
[Anonymous], INTERVAL UNCERTAIN O
[2]  
[Anonymous], CHIN J MECH ENG EN
[3]  
[Anonymous], RELIABILITY BASED OP
[4]   Robust optimization - A comprehensive survey [J].
Beyer, Hans-Georg ;
Sendhoff, Bernhard .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (33-34) :3190-3218
[5]   A procedure for robust design: Minimizing variations caused by noise factors and control factors [J].
Chen, W ;
ALlen, JK ;
Tsui, KL ;
Mistree, F .
JOURNAL OF MECHANICAL DESIGN, 1996, 118 (04) :478-485
[6]   Heterogeneous-Objective Robust Optimization of Complex Mechatronic Components Considering Interval Uncertainties [J].
Cheng, Jin ;
Qian, Yangming ;
Liu, Zhenyu ;
Feng, Yixiong ;
Zhou, Zhendong ;
Tan, Jianrong .
IEEE ACCESS, 2019, 7 :20538-20552
[7]   Direct optimization of uncertain structures based on degree of interval constraint violation [J].
Cheng, Jin ;
Liu, Zhenyu ;
Wu, Zhenyu ;
Tang, Mingyang ;
Tan, Jianrong .
COMPUTERS & STRUCTURES, 2016, 164 :83-94
[8]   An efficient constraint handling method for genetic algorithms [J].
Deb, K .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 186 (2-4) :311-338
[9]   A fast and elitist multiobjective genetic algorithm: NSGA-II [J].
Deb, K ;
Pratap, A ;
Agarwal, S ;
Meyarivan, T .
IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION, 2002, 6 (02) :182-197
[10]   Introducing robustness in multi-objective optimization [J].
Deb, Kalyanmoy ;
Gupta, Himanshu .
EVOLUTIONARY COMPUTATION, 2006, 14 (04) :463-494
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