Structural topology and element sizing design optimisation of tall steel frameworks using a hybrid OC–GA method

This paper presents a hybrid optimisation method in which a local search operator based on a rigorously derived optimality criteria (OC) technique is embedded in the framework of a genetic algorithm (GA). The GA framework is particularly useful in the global exploration for optimal topologies, while the OC technique serves as a local search operator for efficient element sizing optimisation of given topologies. The hybrid OC–GA method was developed to strike a balance between the exploration of global search algorithms and the exploitation of efficient local search methods so as to make the hybrid method suitable for optimising tall building structures involving a large number of structural elements. The applicability and efficiency of the hybrid OC–GA method were tested with two 40-storey steel frameworks. The results show that the hybrid method can generate superior designs to pure GA while exhibiting rapid and smooth convergence, suggesting its great potential for optimising both structural form and element size of practical tall building structures.

[1]  Alexander Coull,et al.  Tall Building Structures: Analysis and Design , 1991 .

[2]  Archibald N. Sherbourne,et al.  Automatic Optimal Design of Tall Steel Building Frameworks , 1995 .

[3]  P. Hajela,et al.  Evolutionary Computing and Structural Topology Optimization—A State of The Art Assessment , 2000 .

[4]  George I. N. Rozvany,et al.  Topology Optimization of Structures and Composite Continua , 2000 .

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

[6]  Kalyanmoy Deb,et al.  A Comparative Analysis of Selection Schemes Used in Genetic Algorithms , 1990, FOGA.

[7]  I. Y. Kim,et al.  Variable chromosome length genetic algorithm for progressive refinement in topology optimization , 2005 .

[8]  조효남,et al.  Load & Resistance Factor Design - AISC , Manual of Steel Construction , 2nd Edition - , 1995 .

[9]  Donald E. Grierson,et al.  Pareto‐Optimal Conceptual Design of the Structural Layout of Buildings Using a Multicriteria Genetic Algorithm , 1999 .

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

[11]  George I. N. Rozvany,et al.  DCOC: An optimality criteria method for large systems Part I: theory , 1992 .

[12]  Peng Liu,et al.  Optimization of Large-scale Tall Buildings Using Hybrid Genetic Algorithms , 2003 .

[13]  I-Cheng Yeh Hybrid Genetic Algorithms for Optimization of Truss Structures , 1999 .

[14]  M. Jakiela,et al.  Continuum structural topology design with genetic algorithms , 2000 .

[15]  Harvey J. Greenberg,et al.  Automatic design of optimal structures , 1964 .

[16]  D. E. Grierson,et al.  Discrete Optimal Design Using a Genetic Algorithm , 1993 .

[17]  Martin P. Bendsøe,et al.  Topology design of structures , 1993 .

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

[19]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[20]  Uri Kirsch,et al.  Optimal Topologies of Structures , 1989 .

[21]  Prabhat Hajela,et al.  Handling variable string lengths in GA-based structural topology optimization , 2004 .

[22]  Uri Kirsch,et al.  Structural Optimization: Fundamentals and Applications , 1993 .

[23]  Subramaniam Rajan,et al.  Sizing, Shape, and Topology Design Optimization of Trusses Using Genetic Algorithm , 1995 .

[24]  Scott A. Burns,et al.  Recent advances in optimal structural design , 2002 .

[25]  Chun Man Chan,et al.  Optimal lateral stiffness design of tall buildings of mixed steel and concrete construction , 2001 .

[26]  Jasbir S. Arora,et al.  Guide to structural optimization , 1997 .

[27]  David E. Goldberg,et al.  Adaptive Hybrid Genetic Algorithm for Groundwater Remediation Design , 2005 .

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

[29]  B. H. V. Topping,et al.  Topology Design of Discrete Structures , 1993 .

[30]  K. Deb,et al.  Design of truss-structures for minimum weight using genetic algorithms , 2001 .

[31]  Anikó Ekárt,et al.  Genetic algorithms in computer aided design , 2003, Comput. Aided Des..