Analysis, design and optimization of structures using force method and genetic algorithm

In the first part of this paper, the energy formulation of the force method is presented and analysis is performed using genetic algorithm. Two simple examples are provided to show the accuracy of the approach. In the second part, an efficient method is developed for designing structures with prescribed stress ratios for its members. The genetic algorithm performed very well and designs with specified stress ratios were achieved with a good convergence rate. A unit value of ci for all the members of a structure corresponds to the well known fully stressed design. In the third part, minimum weight design is formulated by the additional conditions being imposed on the design process. Again, genetic algorithm showed to be a powerful means for optimization. Copyright © 2005 John Wiley & Sons, Ltd.

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

[2]  M. P. Saka.  Optimum Design of Skeletal Structures: A Review , 2003 .

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

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

[5]  W. A. Thornton,et al.  A New Optimality Criterion Method for Large Scale Structures. , 1979 .

[6]  S Rajeev,et al.  GENETIC ALGORITHMS - BASED METHODOLOGY FOR DESIGN OPTIMIZATION OF TRUSSES , 1997 .

[7]  Ali Kaveh,et al.  Size/geometry optimization of trusses by the force method and genetic algorithm , 2004 .

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

[9]  Uri Kirsch,et al.  Optimum structural design: Concepts, methods, and applications , 1981 .

[10]  L. Schmit,et al.  Some Approximation Concepts for Structural Synthesis , 1974 .

[11]  O. Hasançebi,et al.  Layout optimization of trusses using improved GA methodologies , 2001 .

[12]  C. J. Shih,et al.  Generalized Hopfield network based structural optimization using sequential unconstrained minimization technique with additional penalty strategy , 2002 .

[13]  Asme,et al.  Proceedings : AIAA/ASME/SAE 17th Structures, Structural Dynamics and Materials Conference, King of Prussia, Pennsylvania May 5-7, 1976 , 1976 .

[14]  W. M. Jenkins,et al.  Towards structural optimization via the genetic algorithm , 1991 .

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

[16]  Gilbert Syswerda,et al.  Uniform Crossover in Genetic Algorithms , 1989, ICGA.

[17]  Ali Kaveh,et al.  Genetic algorithm for discrete‐sizing optimal design of trusses using the force method , 2002 .

[18]  L. Schmit,et al.  Approximation concepts for efficient structural synthesis , 1976 .

[19]  P. Hajela.  Genetic search - An approach to the nonconvex optimization problem , 1990 .

[20]  M. W. Dobbs,et al.  Application of optimality criteria to automated structural design , 1976 .

[21]  V. Venkayya.  Design of optimum structures , 1971 .

[22]  Ali Kaveh,et al.  Topology optimization of trusses using genetic algorithm, force method and graph theory , 2003 .