Design of planar steel frames using Teaching–Learning Based Optimization

Abstract This paper presents a design procedure employing a Teaching–Learning Based Optimization (TLBO) technique for discrete optimization of planar steel frames. TLBO is a nature-inspired search method that has been developed recently. It simulates the social interaction between the teacher and the learners in a class, which is summarized as teaching–learning process. The design algorithm aims to obtain minimum weight frames subjected to strength and displacement requirements imposed by the American Institute for Steel Construction (AISC) Load and Resistance Factor Design (LRFD). Designs are obtained selecting appropriate W-shaped sections from a standard set of steel sections specified by the AISC. Several frame examples from the literature are examined to verify the suitability of the design procedure and to demonstrate the effectiveness and robustness of the TLBO creating of an optimal design for frame structures. The results of the TLBO are compared to those of the genetic algorithm (GA), the ant colony optimization (ACO), the harmony search (HS) and the improved ant colony optimization (IACO) and they shows that TLBO is a powerful search and applicable optimization method for the problem of engineering design applications.

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

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

[3]  Mustafa Sonmez,et al.  Discrete optimum design of truss structures using artificial bee colony algorithm , 2011 .

[4]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

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

[6]  D. Wang,et al.  Optimal shape design of a frame structure for minimization of maximum bending moment , 2007 .

[7]  Mehmet Polat Saka,et al.  Optimum Geometry Design of Geodesic Domes Using Harmony Search Algorithm , 2007 .

[8]  R. Venkata Rao,et al.  Teaching-learning-based optimization: A novel method for constrained mechanical design optimization problems , 2011, Comput. Aided Des..

[9]  Helio J. C. Barbosa,et al.  A genetic algorithm encoding for cardinality constraints and automatic variable linking in structural optimization , 2008 .

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

[11]  Siamak Talatahari,et al.  An improved ant colony optimization for the design of planar steel frames , 2010 .

[12]  Anan Nimtawat,et al.  A genetic algorithm for beam―slab layout design of rectilinear floors , 2010 .

[13]  Ayse T. Daloglu,et al.  Bridge truss optimization under moving load using continuous and discrete design variables in optimization methods , 2009 .

[14]  Manolis Papadrakakis,et al.  Optimum design of steel structures with web openings , 2008 .

[15]  Alex Elvin,et al.  An algorithm for grouping members in a structure , 2010 .

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

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

[18]  V. Toğan,et al.  Optimization of 3d trusses with adaptive approach in genetic algorithms , 2006 .

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

[20]  Dervis Karaboga,et al.  AN IDEA BASED ON HONEY BEE SWARM FOR NUMERICAL OPTIMIZATION , 2005 .

[21]  S. O. Degertekin Optimum design of steel frames using harmony search algorithm , 2008 .

[22]  Ayse T. Daloglu,et al.  An improved genetic algorithm with initial population strategy and self-adaptive member grouping , 2008 .

[23]  Feng Liu,et al.  A heuristic particle swarm optimization method for truss structures with discrete variables , 2009 .

[24]  James Kennedy,et al.  Particle swarm optimization , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.