Shape and size optimization of truss structures considering dynamic constraints through modern metaheuristic algorithms

被引:179
作者
Fadel Miguel, Leticia Fleck [1 ]
Fadel Miguel, Leandro Fleck [2 ]
机构
[1] Univ Fed Rio Grande do Sul, Dept Mech Engn, Porto Alegre, RS, Brazil
[2] Univ Fed Santa Catarina, Dept Civil Engn, Florianopolis, SC, Brazil
关键词
Nonlinear dynamic optimization problems; Engineering design; Frequency constraints; Harmony Search; Firefly Algorithm; HARMONY SEARCH; FREQUENCY CONSTRAINTS; FRAME STRUCTURES; OPTIMUM DESIGN;
D O I
10.1016/j.eswa.2012.02.113
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Mass optimization on shape and sizing with multiple natural frequency constraints are highly nonlinear dynamic optimization problems. Multiple natural frequency constraints normally cause difficult dynamic sensitivity analysis and, in addition, two different types of design variables, nodal coordinates and cross-sectional areas, often lead to divergence. Thus, the choice of the appropriated method to solve this kind of problem is of paramount importance. Within this context, in this paper two of the most recent metaheuristic algorithms developed in the last decade, Harmony Search (HS) and Firefly Algorithm (FA), are used, for the first time here, to solve truss shape and sizing optimization with multiple natural frequency constraints. Since these metaheuristic algorithms are not a gradient-based search, they avoid most of the pitfalls of any gradient-based search algorithms. The effectiveness of Harmony Search and Firefly Algorithm is demonstrated through four benchmark structural optimization problems for solving shape and sizing optimization of trusses with multiple frequency constraints. The results showed that both metaheuristic algorithms reached, in a relatively low computational time, better results than the literature in three of the four examples considered, and in the other example the structure is approximately equal to the best one found, emphasizing the excellent capacity of both methods. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:9458 / 9467
页数:10
相关论文
共 25 条
[1]  
Arora J., 2004, INTRO OPTIMUM DESIGN
[2]   MINIMUM-MASS TRUSS STRUCTURES WITH CONSTRAINTS ON FUNDAMENTAL NATURAL FREQUENCY [J].
BELLAGAMBA, L ;
YANG, TY .
AIAA JOURNAL, 1981, 19 (11) :1452-1458
[3]  
Deb K., 1995, OPTIMIZATION ENG DES
[4]   Harmony search algorithm for optimum design of steel frame structures: A comparative study with other optimization methods [J].
Degertekin, S. O. .
STRUCTURAL ENGINEERING AND MECHANICS, 2008, 29 (04) :391-410
[5]  
Degertekin SO, 2009, STEEL COMPOS STRUCT, V9, P535
[6]  
Geem ZW, 2009, STUD COMPUT INTELL, V203, P57
[7]   A new heuristic optimization algorithm: Harmony search [J].
Geem, ZW ;
Kim, JH ;
Loganathan, GV .
SIMULATION, 2001, 76 (02) :60-68
[8]   Truss optimization with dynamic constraints using a particle swarm algorithm [J].
Gomes, Herbert Martins .
EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (01) :957-968
[9]   STRUCTURAL OPTIMIZATION WITH FREQUENCY CONSTRAINTS - A REVIEW [J].
GRANDHI, R .
AIAA JOURNAL, 1993, 31 (12) :2296-2303
[10]   STRUCTURAL OPTIMIZATION WITH FREQUENCY CONSTRAINTS [J].
GRANDHI, RV ;
VENKAYYA, VB .
AIAA JOURNAL, 1988, 26 (07) :858-866