Multiple Optimum Size/Shape/Topology Designs for Skeletal Structures using a Genetic Algorithm

A genetic algorithm is presented that can simultaneously optimize size, shape, and topology of skeletal structures, including both trusses and frames. The algorithm is unique because it finds multiple optimum and near-optimum topologies in a single run. The algorithm was executed on a bridge example where it found both traditionally recognized bridge topologies as well as less familiar topologies. It was also executed on two standard test problems as well as on a plane frame example. This algorithm presents the designer with more choices and more information than algorithms that converge to a single optimum design.

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

[2]  W. M. Jenkins On the application of natural algorithms to structural design optimization , 1997 .

[3]  Eric M. Lui,et al.  Structural Stability: Theory and Implementation , 1987 .

[4]  O. Hasançebi,et al.  Optimal design of planar and space structures with genetic algorithms , 2000 .

[5]  A. Michell LVIII. The limits of economy of material in frame-structures , 1904 .

[6]  Juhachi Oda,et al.  A TECHNIQUE OF OPTIMAL LAYOUT DESIGN FOR TRUSS STRUCTURES USING GENETIC ALGORITHM , 1993 .

[7]  Shyue-Jian Wu,et al.  Integrated discrete and configuration optimization of trusses using genetic algorithms , 1995 .

[8]  Chee Kiong Soh,et al.  Fuzzy Controlled Genetic Algorithm Search for Shape Optimization , 1996 .

[9]  S. Wu,et al.  Steady-state genetic algorithms for discrete optimization of trusses , 1995 .

[10]  David E. Goldberg,et al.  ENGINEERING OPTIMIZATION VIA GENETIC ALGORITHM, IN WILL , 1986 .

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

[12]  P. Hajela,et al.  GENETIC ALGORITHMS IN OPTIMIZATION PROBLEMS WITH DISCRETE AND INTEGER DESIGN VARIABLES , 1992 .

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

[14]  Prabhat Hajela,et al.  Genetic Algorithms in Structural Topology Optimization , 1993 .

[15]  G. Sved,et al.  Structural optimization under multiple loading , 1968 .

[16]  Christopher M. Foley,et al.  Automated Design of Steel Frames Using Advanced Analysis and Object-Oriented Evolutionary Computation , 2003 .

[17]  U. Kirsch On the relationship between optimum structural topologies and geometries , 1990 .

[18]  D. Grierson,et al.  Optimal sizing, geometrical and topological design using a genetic algorithm , 1993 .

[19]  M. Galante,et al.  GENETIC ALGORITHMS AS AN APPROACH TO OPTIMIZE REAL‐WORLD TRUSSES , 1996 .

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

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

[22]  M. Ohsaki Genetic algorithm for topology optimization of trusses , 1995 .

[23]  K. Deb An Efficient Constraint Handling Method for Genetic Algorithms , 2000 .

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