Discrete parameter-nonlinear constrained optimisation of a gear train using genetic algorithms

被引:13
作者
Dolen, M. [1 ]
Kaplan, H. [2 ]
Seireg, A. [3 ,4 ]
机构
[1] Middle East Tech Univ, Dept Mech Engn, TR-06531 Ankara, Turkey
[2] Atilim Univ, Dept Mfg & Mech Engn, TR-06836 Incek Golbasi Ankara, Turkey
[3] Univ Wisconsin Madison, Dept Mech Engn, Madison, WI 53706 USA
[4] Univ Florida Gainesville, Gainesville, FL 32611 USA
关键词
genetic algorithms; discrete design optimisation; penalty function; integer programming; multi stage gear design; nonlinear programming;
D O I
10.1504/IJCAT.2005.007213
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper investigates the optimal design of a four-stage gear train using genetic algorithms. Five different genetic encoding schemes, which incorporate various heuristic search techniques, are proposed to deal with the most critical constraints of the problem. The fitness criterion used by all genetic algorithms includes a merit function for minimising the size of the gearbox. The results show improvement in the design merit over previous approaches without reliance on the designer's interaction to avoid geometric constraint violations and facilitate the convergence.
引用
收藏
页码:110 / 121
页数:12
相关论文
共 35 条
[1]   METHODS FOR OPTIMIZATION OF NONLINEAR PROBLEMS WITH DISCRETE VARIABLES - A REVIEW [J].
ARORA, JS ;
HUANG, MW ;
HSIEH, CC .
STRUCTURAL OPTIMIZATION, 1994, 8 (2-3) :69-85
[2]  
Balasubramanian R., 1988, INT J MATH MATH SCI, V11, P811
[3]  
Balling R. J., 1990, P 3 AIR FORC NASA S
[4]   Multiple design point optimization of high-speed proprotors [J].
Chattopadhyay, A ;
McCarthy, TR ;
Seeley, CE .
JOURNAL OF AIRCRAFT, 1996, 33 (03) :625-627
[5]  
Cooper L., 1975, Computers & Mathematics with Applications, V1, P215, DOI 10.1016/0898-1221(75)90020-6
[6]   NON-LINEAR INTEGER PROGRAMMING FOR VARIOUS FORMS OF CONSTRAINTS [J].
COOPER, MW ;
FARHANGIAN, K .
NAVAL RESEARCH LOGISTICS, 1982, 29 (04) :585-592
[7]   A TREE-SEARCH ALGORITHM FOR MIXED INTEGER PROGRAMMING-PROBLEMS [J].
DAKIN, RJ .
COMPUTER JOURNAL, 1965, 8 (03) :250-253
[8]  
Dong K. S., 1992, ENG OPTIMIZ, P29
[9]  
Glover F., 1975, DECISION SCI, V22, P455
[10]  
Goldberg DE, 1989, GENETIC ALGORITHMS S