Optimum design of steel frames using harmony search algorithm

In this article, harmony search algorithm was developed for optimum design of steel frames. Harmony search is a meta-heuristic search method that has been developed recently. It bases on the analogy between the performance process of natural music and searching for solutions to optimization problems. The objective of the design algorithm is to obtain minimum weight frames by selecting suitable sections from a standard set of steel sections such as American Institute of Steel Construction (AISC) wide-flange (W) shapes. Strength constraints of AISC load and resistance factor design specification and displacement constraints were imposed on frames. The effectiveness and robustness of harmony search algorithm, in comparison with genetic algorithm and ant colony optimization-based methods, were verified using three steel frames. The comparisons showed that the harmony search algorithm yielded lighter designs.

[1]  Mehmet Polat Saka,et al.  Genetic algorithm based optimum design of nonlinear planar steel frames with various semi- rigid connections , 2003 .

[2]  Mehmet Polat Saka,et al.  Optimum design of nonlinear steel frames with semi-rigid connections using a genetic algorithm , 2001 .

[3]  Zong Woo Geem,et al.  A New Heuristic Optimization Algorithm: Harmony Search , 2001, Simul..

[4]  W. M. Jenkins,et al.  Towards structural optimization via the genetic algorithm , 1991 .

[5]  K. Lee,et al.  A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice , 2005 .

[6]  Ali Kaveh,et al.  Nonlinear analysis and optimal design of structures via force method and genetic algorithm , 2006 .

[7]  Barron J. Bichon,et al.  Design of Steel Frames Using Ant Colony Optimization , 2005 .

[8]  Zong Woo Geem,et al.  Improved Harmony Search from Ensemble of Music Players , 2006, KES.

[9]  Z. Geem Optimal Design of Water Distribution Networks Using Harmony Search , 2009 .

[10]  Marco Dorigo,et al.  An Investigation of some Properties of an "Ant Algorithm" , 1992, PPSN.

[11]  Shahram Pezeshk,et al.  Optimized Design of Two-Dimensional Structures Using a Genetic Algorithm , 1998 .

[12]  M. S. Hayalioglu,et al.  Optimum design of geometrically non-linear elastic–plastic steel frames via genetic algorithm , 2000 .

[13]  K. Lee,et al.  A new structural optimization method based on the harmony search algorithm , 2004 .

[14]  Ali Kaveh,et al.  Genetic algorithm for discrete‐sizing optimal design of trusses using the force method , 2002 .

[15]  S. O. Degertekin,et al.  Design of non-linear steel frames for stress and displacement constraints with semi-rigid connections via genetic optimization , 2004 .

[16]  Jamshid Ghaboussi,et al.  Evolution of Optimum Structural Shapes Using Genetic Algorithm , 1998 .

[17]  Vassili Toropov,et al.  Design optimization of structural steelwork using a genetic algorithm, FEM and a system of design rules , 2001 .

[18]  S. O. Degertekin,et al.  Minimum cost design of steel frames with semi-rigid connections and column bases via genetic optimization , 2005 .

[19]  S. Rajeev,et al.  Discrete Optimization of Structures Using Genetic Algorithms , 1992 .

[20]  K. Ramanjaneyulu,et al.  Buckling analysis of cooling tower shells subjected to non-axisymmetric wind pressures , 1991 .

[21]  Shahram Pezeshk,et al.  Design of Nonlinear Framed Structures Using Genetic Optimization , 2000 .

[22]  M. S. Hayalioglu Optimum load and resistance factor design of steel space frames using genetic algorithm , 2001 .

[23]  Ali Kaveh,et al.  Size/geometry optimization of trusses by the force method and genetic algorithm , 2004 .

[24]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[25]  K. Lee,et al.  The harmony search heuristic algorithm for discrete structural optimization , 2005 .

[26]  Z. Geem,et al.  PARAMETER ESTIMATION OF THE NONLINEAR MUSKINGUM MODEL USING HARMONY SEARCH 1 , 2001 .

[27]  W. M. Jenkins,et al.  PLANE FRAME OPTIMUM DESIGN ENVIRONMENT BASED ON GENETIC ALGORITHM , 1992 .

[28]  Charles V. Camp,et al.  Design of Space Trusses Using Ant Colony Optimization , 2004 .