Improvements in meta-heuristic algorithms for minimum cost design of reinforced concrete rectangular sections under compression and biaxial bending

Abstract A numerical procedure is proposed in this paper for achieving the minimum cost design of reinforced concrete rectangular sections under compression and biaxial bending by using biologically-inspired meta-heuristic optimization algorithms. The problem formulation includes the costs of concrete, reinforcement and formwork, obtaining the detailed optimum design in which the section dimensions and the reinforcement correspond to values used in practice. The formulation has been simplified in order to reduce the computational cost while ensuring the rigor necessary to achieve safe designs. The numerical procedure includes the possibility of using high-strength concrete and several design constraints, such as minimum reinforcement and limiting the neutral axis depth. Two numerical examples are presented, drawing comparisons between the results obtained by ACI318 and EC2 standards.

[1]  Andrés T. López-López,et al.  Behaviour of reinforced concrete rectangular sections based on tests complying with seismic construction requirements , 2016 .

[2]  Chin-Hyung Lee,et al.  Flexural Design of Reinforced Concrete Frames by Genetic Algorithm , 2003 .

[3]  Xin-She Yang,et al.  Firefly Algorithms for Multimodal Optimization , 2009, SAGA.

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

[5]  A. Gandomi.  Interior search algorithm (ISA): a novel approach for global optimization. , 2014, ISA transactions.

[6]  Shahram Pezeshk,et al.  Flexural Design of Reinforced Concrete Frames Using a Genetic Algorithm , 2003 .

[7]  Erich Raue,et al.  OPTIMUM REINFORCEMENT DESIGN OF CONCRETE CROSS‐SECTIONS CONSIDERING DEFORMATION CONSTRAINTS , 2005 .

[8]  Luisa María Gil-Martín,et al.  Optimal reinforcement of RC columns for biaxial bending , 2010 .

[9]  S. Rajeev,et al.  GENETIC ALGORITHM-BASED METHODOLOGY FOR DESIGN OPTIMIZATION OF REINFORCED CONCRETE FRAMES , 1998 .

[10]  David A. Roke,et al.  Optimization of retaining wall design using recent swarm intelligence techniques , 2015 .

[11]  Hyo-Gyoung Kwak,et al.  Optimum design of reinforced concrete plane frames based on predetermined section database , 2008, Comput. Aided Des..

[12]  Xin-She Yang,et al.  Nature-Inspired Metaheuristic Algorithms , 2008 .

[13]  Lawrence J. Fogel,et al.  Artificial Intelligence through Simulated Evolution , 1966 .

[14]  Vassili Toropov,et al.  A Review on Traditional and Modern Structural Optimization , 2013 .

[15]  Ebrahim Babaei,et al.  Exchange market algorithm , 2014, Appl. Soft Comput..

[16]  Edward Cohen,et al.  Minimum Design Loads for Buildings and Other Structures , 1990 .

[17]  Ardeshir Bahreininejad,et al.  Mine blast algorithm: A new population based algorithm for solving constrained engineering optimization problems , 2013, Appl. Soft Comput..

[18]  Víctor Yepes,et al.  Heuristic optimization of RC bridge piers with rectangular hollow sections , 2010 .

[19]  Marco Dorigo,et al.  Ant colony optimization , 2006, IEEE Computational Intelligence Magazine.

[20]  Janez Brest,et al.  A comprehensive review of firefly algorithms , 2013, Swarm Evol. Comput..

[21]  Luisa María Gil-Martín,et al.  Recent developments in optimal reinforcement of RC beam and column sections , 2011 .

[22]  Antonio Tomás,et al.  Design of reinforcement for concrete co-planar shell structures using optimization techniques , 2010 .

[23]  Paolo Riva,et al.  FLEXURAL DUCTILITY OF STRUCTURAL CONCRETE SECTIONS , 1991 .

[24]  J. V. Ramasamy,et al.  Optimum detailed design of reinforced concrete continuous beams using Genetic Algorithms , 2005 .

[25]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[26]  Hyo-Gyoung Kwak,et al.  An integrated genetic algorithm complemented with direct search for optimum design of RC frames , 2009, Comput. Aided Des..

[27]  Michal Šejnoha,et al.  New approach to optimization of reinforced concrete beams , 2000 .

[28]  Ibrahim Eksin,et al.  A new optimization method: Big Bang-Big Crunch , 2006, Adv. Eng. Softw..

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

[30]  A. Kaveh,et al.  A new optimization method: Dolphin echolocation , 2013, Adv. Eng. Softw..

[31]  J. V. Ramasamy,et al.  Optimum detailed design of reinforced concrete frames using genetic algorithms , 2007 .

[32]  Amir Hossein Gandomi,et al.  Multi-stage genetic programming: A new strategy to nonlinear system modeling , 2011, Inf. Sci..

[33]  Xin-She Yang,et al.  A New Metaheuristic Bat-Inspired Algorithm , 2010, NICSO.

[34]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[35]  Fred Glover,et al.  Tabu Search - Part II , 1989, INFORMS J. Comput..

[36]  Manuel L. Romero,et al.  Comparative study of analytical and numerical algorithms for designing reinforced concrete sections under biaxial bending , 2006 .

[37]  Vassilis K. Papanikolaou,et al.  Analysis of arbitrary composite sections in biaxial bending and axial load , 2012 .

[38]  Mehmet Polat Saka,et al.  Harmony search algorithm based optimum detailed design of reinforced concrete plane frames subject to ACI 318-05 provisions , 2015 .

[39]  Xin-She Yang,et al.  Firefly algorithm with chaos , 2013, Commun. Nonlinear Sci. Numer. Simul..

[40]  Akh Kwan,et al.  Flexural ductility and deformability of reinforced and prestressed concrete sections , 2011 .

[41]  Abdolreza Hatamlou,et al.  Black hole: A new heuristic optimization approach for data clustering , 2013, Inf. Sci..

[42]  Hojjat Adeli,et al.  Cost Optimization of Concrete Structures , 1999 .

[43]  Gregorio Sánchez-Olivares,et al.  Design of planar semi-rigid steel frames using genetic algorithms and Component Method , 2013 .

[44]  F.T.K. Au,et al.  Ductility of symmetrically reinforced concrete columns , 2009 .

[45]  Xin-She Yang,et al.  Firefly algorithm, stochastic test functions and design optimisation , 2010, Int. J. Bio Inspired Comput..

[46]  Amir Hossein Alavi,et al.  Krill herd: A new bio-inspired optimization algorithm , 2012 .

[47]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[48]  V. K. Koumousis,et al.  Genetic Algorithms in Optimal Detailed Design of Reinforced Concrete Members , 1998 .

[49]  El-Ghazali Talbi,et al.  Metaheuristics - From Design to Implementation , 2009 .

[50]  Jcm Ho.  Limited ductility design of reinforced concrete columns for tall buildings in low to moderate seismicity regions , 2011 .

[51]  Mamoun A. Alqedra,et al.  Artificial Bee Colony (ABC) algorithm in the design optimization of RC continuous beams , 2013 .

[52]  Xin-She Yang,et al.  Cuckoo Search via Lévy flights , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

[53]  M. J. Mahjoob,et al.  A novel meta-heuristic optimization algorithm inspired by group hunting of animals: Hunting search , 2010, Comput. Math. Appl..

[54]  Arthur H. Nilson,et al.  Design of concrete structures , 1972 .

[55]  Ali Husseinzadeh Kashan,et al.  League Championship Algorithm: A New Algorithm for Numerical Function Optimization , 2009, 2009 International Conference of Soft Computing and Pattern Recognition.

[56]  Richard A. Formato,et al.  CENTRAL FORCE OPTIMIZATION: A NEW META-HEURISTIC WITH APPLICATIONS IN APPLIED ELECTROMAGNETICS , 2007 .

[57]  Alan D. Christiansen,et al.  A simple genetic algorithm for the design of reinforced concrete beams , 1997, Engineering with Computers.

[58]  C. A. Ferreira,et al.  Closed form solution of optimal design of rectangular reinforced concrete sections , 2004 .

[59]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[60]  Siamak Talatahari,et al.  Optimum design of tower structures using Firefly Algorithm , 2014 .

[61]  M. Y. Rafiq,et al.  Genetic algorithms in optimal design and detailing of reinforced concrete biaxial columns supported by a declarative approach for capacity checking , 1998 .

[62]  A. Gandomi,et al.  Mixed variable structural optimization using Firefly Algorithm , 2011 .

[63]  Andrew Lewis,et al.  The Whale Optimization Algorithm , 2016, Adv. Eng. Softw..