Differential evolution for optimization of functionally graded beams

被引:52
作者
Roque, C. M. C. [1 ]
Martins, P. A. L. S. [1 ]
机构
[1] Univ Porto, Fac Engn, INEGI, P-4200465 Oporto, Portugal
关键词
Differential evolution; Functionally graded material; Timoshenko beam; Free vibration; Optimization; FREE-VIBRATION; COMPOSITE PLATES; TIMOSHENKO; ALGORITHM; BEHAVIOR;
D O I
10.1016/j.compstruct.2015.08.041
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Differential evolution optimization is used to find the volume fraction that maximizes the first natural frequency for a functionally graded beam. A formulation using three parameters is used to describe volume fraction. Beams with different ratios of material properties are considered. Two methods are used to compute the natural frequencies, analytical and meshless numerical method. Results show that differential evolution is capable to find distributions for volume fraction that increase the natural frequency of beams. It was also found that the RBF numerical method can be used with differential evolution to solve problems related to maximization of natural frequencies in functionally graded beams. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1191 / 1197
页数:7
相关论文
共 27 条
[1]  
[Anonymous], SEARCH SOLUTIONS SPR
[2]   Free Vibration Behavior of Exponential Functionally Graded Beams with Varying Cross-section [J].
Atmane, Hassen Ait ;
Tounsi, Abdelouahed ;
Meftah, Sid Ahmed ;
Belhadj, Hichem Abdesselem .
JOURNAL OF VIBRATION AND CONTROL, 2011, 17 (02) :311-318
[3]   Free vibration analysis of functionally graded beams with simply supported edges [J].
Aydogdu, Metin ;
Taskin, Vedat .
MATERIALS & DESIGN, 2007, 28 (05) :1651-1656
[4]   MULTIPLE CRACKING IN FUNCTIONALLY GRADED CERAMIC-METAL COATINGS [J].
BAO, G ;
WANG, L .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1995, 32 (19) :2853-2871
[5]  
Bendsoe MP, 2003, Topology optimization-Theory, methods and applications, V2nd, DOI 10.1007/978-3-662-05086-6
[6]   Mechanical behavior of functionally graded material plates under transverse load - Part I: Analysis [J].
Chi, Shyang-Ho ;
Chung, Yen-Ling .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2006, 43 (13) :3657-3674
[7]  
El-Wazery MS., 2015, ENVIRON SCI-TOKYO, V6, P1369
[8]   Optimization of natural frequencies of bidirectional functionally graded beams [J].
Goupee, Andrew J. ;
Vel, Senthil S. .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2006, 32 (06) :473-484
[9]   Application of firefly algorithm and ANFIS for optimisation of functionally graded beams [J].
Kamarian, S. ;
Yas, M. H. ;
Pourasghar, A. ;
Daghagh, M. .
JOURNAL OF EXPERIMENTAL & THEORETICAL ARTIFICIAL INTELLIGENCE, 2014, 26 (02) :197-209
[10]   Processing techniques for functionally graded materials [J].
Kieback, B ;
Neubrand, A ;
Riedel, H .
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 2003, 362 (1-2) :81-105