Provision of Reinforcement in Concrete Solids Using the Generalized Genetic Algorithm

A generalized genetic algorithm has been developed to find the global optimal reinforcement contents for a concrete solid structure subjected to a general three-dimensional (3D) stress field. Feasible solutions were examined based on the genetic algorithm, and the heterogeneous strategy used ensures that all of the local optimal regions are searched and the most optimal reinforcement content found. The effectiveness of the proposed approach has been validated by comparing the steel contents evaluated using the present method with those obtained from other available methods. A more economic design is achieved by the proposed algorithm. The method developed provides the designer with a valuable tool for the determination of reinforcements in complicated solid concrete structures.

[1]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[2]  A. E. Eiben,et al.  Global conver-gence of genetic algorithms: an infinite Markov chain analysis , 1991 .

[3]  Barbara S. Minsker,et al.  Effects of Local Search Algorithms on Groundwater Remediation Optimization Using a Self-Adaptive Hybrid Genetic Algorithm , 2006 .

[4]  Ralph R. Martin,et al.  A Sequential Niche Technique for Multimodal Function Optimization , 1993, Evolutionary Computation.

[5]  JesMar ´ in,et al.  Macroevolutionary Algorithms: A New Optimization Method on Fitness Landscapes , 1999 .

[6]  Yongzhen Pei,et al.  The dynamics of an impulsive delay SI model with variable coefficients , 2009 .

[7]  Mitsuo Gen,et al.  Genetic algorithms and engineering design , 1997 .

[8]  Pei-Chann Chang,et al.  A hybrid genetic algorithm with dominance properties for single machine scheduling with dependent penalties , 2009 .

[9]  Rolf Färe,et al.  A hybrid genetic algorithm for multiobjective problems with activity analysis-based local search , 2009, Eur. J. Oper. Res..

[10]  R. Horst,et al.  Global Optimization: Deterministic Approaches , 1992 .

[11]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[12]  S. Foster,et al.  Design of Reinforced Concrete Solids Using Stress Analysis , 2003 .

[13]  G. Marano,et al.  Genetic-Algorithm-Based Strategies for Dynamic Identification of Nonlinear Systems with Noise-Corrupted Response , 2010 .

[14]  Kenneth Alan De Jong,et al.  An analysis of the behavior of a class of genetic adaptive systems. , 1975 .

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

[16]  Law Chi Wai,et al.  Approach for Reinforcement Design in Reinforced Concrete Structures Based on 3-Dimensional Stress Field , 2007 .

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

[18]  L. Darrell Whitley,et al.  Deception, dominance and implicit parallelism in genetic search , 1992, Annals of Mathematics and Artificial Intelligence.

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

[20]  Reiner Horst,et al.  Global optimization - deterministic approaches, 3. Auflage , 1996 .

[21]  Long Chen,et al.  Study of Applying Macroevolutionary Genetic Programming to Concrete Strength Estimation , 2003 .

[22]  Peter Neuhaus,et al.  Solving the Mapping Problem - Experiences with a Genetic Algorithm , 1990, PPSN.

[23]  Clarence H. Martin,et al.  A hybrid genetic algorithm/mathematical programming approach to the multi-family flowshop scheduling problem with lot streaming , 2009 .

[24]  S. Timoshenko,et al.  Theory of Elasticity (3rd ed.) , 1970 .

[25]  Kalyanmoy Deb,et al.  Massive Multimodality, Deception, and Genetic Algorithms , 1992, PPSN.

[26]  Runhe Huang,et al.  Implementing the Genetic Algorithm on Transputer Based Parallel Processing Systems , 1990, PPSN.

[27]  Li Chen,et al.  Modeling Strength of High-Performance Concrete Using an Improved Grammatical Evolution Combined with Macrogenetic Algorithm , 2010, J. Comput. Civ. Eng..

[28]  Tom V. Mathew,et al.  Transit route network design using parallel genetic algorithm , 2004 .

[29]  John H. Holland,et al.  Outline for a Logical Theory of Adaptive Systems , 1962, JACM.

[30]  David E. Goldberg,et al.  Finite Markov Chain Analysis of Genetic Algorithms , 1987, ICGA.