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Fuzzy Optimum Design of Plane Steel Frames Using Refined Plastic Hinge Analysis and a Genetic Algorithm  

Lee, Mal Suk (경북대학교 대학원 건축공학부)
Yun, Young Mook (경북대학교 토목공학과)
Shon, Su Deok (경북대학교 대학원 건축공학부)
Publication Information
Journal of Korean Society of Steel Construction / v.18, no.2, 2006 , pp. 147-160 More about this Journal
Abstract
GA-based fuzzy optimum design algorithm incorporated with the refined plastic hinge analysis method is presented in this study. In the refined plastic hinge analysis method, geometric nonlinearity is considered by using the stability functions of the beam-column members. Material nonlinearity is also considered by using the gradual stiffness degradation model, which considers the effects of residual stresses, moment redistribution through the occurence of plastic hinges, and the geometric imperfections of the members. In the genetic algorithm, the tournament selection method and the total weight of the steel frames. The requirements of load-carrying capacity, serviceability, ductility, and constructabil ity are used as the constraint conditions. In fuzzy optimization, for crisp objective function and fuzzy constraint s, the tolerance that is accepted is 5% of the constraints. Furthermore, a level-cut method is presented from 0 to 1 at a 0 .2 interval, with the use of the nonmembership function, to solve fuzzy-optimization problems. The values of conventional GA optimization and fuzzy GA optimization are compared in several examples of steel structures.
Keywords
Fuzy optimum design; Refined plastic hinge analysis; Geneti c algorithm; Plane stel frame;
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