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Genetic Algorithms for Optimization of 3D Truss Structures

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Metaheuristics and Optimization in Civil Engineering

Part of the book series: Modeling and Optimization in Science and Technologies ((MOST,volume 7))

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Abstract

Various optimization techniques have been applied to find the optimum solutions of structural design problems in the last 50 or 60 years. Simple structural optimization problems with continuous design variables have been solved initially using mathematically diverse techniques. New approaches called meta-heuristic techniques have been emerging along with the progress of traditional methods. This chapter first introduces the mathematical formulations of optimization problems and then gives a summary and development process of the preliminary techniques such as genetic algorithm (GA) in obtaining the optimum solutions. The mathematical formulations of the structural optimization problems are associated with the design variables, loads, structural responses, and constraints. Strategies are proposed to improve the performance of the technique to reduce the number of search and the size of the problem. Finally, some examples related to 3D truss structures are presented.

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References

  1. Horst, R., Pardolos, P.M.: Handbook of global optimization. Kluwer Academic Publishers, Dordrecht (1995)

    Book  Google Scholar 

  2. Nocedal, J., Wright, J.S.: Numerical optimization. Springer, New York (1999)

    Book  MATH  Google Scholar 

  3. Chong, E.K.P., Zak, S.H.: Introduction to Optimization. Wiley, New York (2002)

    MATH  Google Scholar 

  4. Paton, R.: Computing with Biological Metaphors. Chapman & Hall, London (1994)

    Google Scholar 

  5. Adami, C.: An Introduction to Artificial Life. Springer, New York (1998)

    Book  MATH  Google Scholar 

  6. Matheck, C.: Design in Nature: Learning from Trees. Springer, Berlin (1998)

    Book  Google Scholar 

  7. Mitchell, M.: An Introduction to Genetic Algorithms. The MIT Press, Cambridge (1998)

    MATH  Google Scholar 

  8. Flake, G.W.: The Computational Beauty of Nature. MIT Press, Cambridge (2000)

    Google Scholar 

  9. Kennedy, J., Eberhart, R., Shi, Y.: Swarm Intelligence. Morgan Kaufmann Publishers, San Francisco (2001)

    Google Scholar 

  10. Glover, F., Kochenberger, G.A.: Handbook of Metaheuristics. Kluwer Academic Publishers, Dordrecht (2003)

    Book  MATH  Google Scholar 

  11. Dreo, J., Petrowski, A., Siarry, P., Taillard, E.: Meta-Heuristics for Hard Optimization. Springer, Berlin (2006)

    MATH  Google Scholar 

  12. Sean, L.: Essentials of Metaheuristics (2015). http://cs.gmu.edu/~sean/book/metaheuristics/Essentials.pdf

  13. Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley Publishing Co., Reading (1989)

    Google Scholar 

  14. Rajeev, S., Krishnamoorthy, C.S.: Discrete Optimization of Structures Using Genetic Algorithms. J. Struct. Eng. 118(5), 1233–1250 (1992)

    Article  Google Scholar 

  15. Tang, X.,·Bassir, D.H., Zhang, W.: Shape, Sizing Optimization and Material Selection Based on Mixed Variables and Genetic Algorithm. Optim Eng 12, 111–128 (2011)

    Google Scholar 

  16. Ahmadi, M., Arabi, M., Hoag, D.L., Engel, B.A.: A mixed discrete-continuous variable multiobjective genetic algorithm for targeted implementation of nonpoint source pollution control practices. Water Resour. Res. 49, 8344–8356 (2013)

    Article  Google Scholar 

  17. Yuan, Q.K., Li, S.J., Jiang, L.L., Tang, W.Y.: A mixed-coding genetic algorithm and its application on gear reducer optimization. Fuzzy Info. Eng. 2(AISC 62), 753–759 (2009)

    Google Scholar 

  18. Rao, S.S., Xiong, T.: A hybrid genetic algorithm for mixed-discrete design optimization. J. Mech. Des. 127(6), 1100–1112 (2004)

    Article  Google Scholar 

  19. Kumar, A.: Encoding scheme in genetic algorithm. Int. J. Adv. Res. IT Eng. 2(3), 1–7 (2013)

    Google Scholar 

  20. Kumar R, Jyotishree (2012) Novel encoding scheme in genetic algorithms for better fitness. Int. J. Eng. Adv. Tech. 1(6), 214–218

    Google Scholar 

  21. Zhu, J., Zhou, D., Li, F., Fu, T.: Improved real coded genetic algorithm and its simulation. J. Softw. 9(2), 389–397 (2014)

    Article  Google Scholar 

  22. Nanakorn, P., Meesomklin, K.: An adaptive function in genetic algorithms for structural design optimization. Comp. Struct. 79(29–30), 2527–2539 (2001)

    Article  Google Scholar 

  23. Kramer, O., Schwefel, H.P.: On three new approaches to handle constraints within evolution strategies. Nat. Comp. 5, 363–385 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  24. Lemonge, A.C.C., Barbosa, H.J.C.: An adaptive penalty scheme for genetic algorithms in structural optimization. Int. J. Numer. Meth. Eng. 59, 703–736 (2004)

    Article  MATH  Google Scholar 

  25. Coello, C.A.C.: Use of a self-adaptive penalty approach for engineering optimization problems. Comp. Ind. 41, 113–127 (2000)

    Article  Google Scholar 

  26. Lin, C.H.: A rough penalty genetic algorithm for constrained optimization. Inform. Sci. 241, 119–137 (2013)

    Article  Google Scholar 

  27. Lemonge, A.C.C., Barbosa, H.J.C., Bernardino, H.S.: A family of adaptive penalty schemes for steady-state genetic algorithms. Proceeding in WCCI 2012, June, pp. 10–15. Brisbane, Australia (2012)

    Google Scholar 

  28. Kaya, M.: The effects of two new crossover operators on genetic algorithm performance. Appl. Soft Comput. 11, 881–890 (2011)

    Article  Google Scholar 

  29. Thanh, P.D., Binh H.T.T., Lam, B.T.: New mechanism of combination crossover operators in genetic algorithm for solving the traveling salesman problem. Knowl. Syst. Eng. (AISC 326), 753–759 (2015)

    Google Scholar 

  30. Deep, K., Thakur, M.: A new mutation operator for real coded genetic algorithms. Appl. Math. Comput. 193(1), 211–230 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  31. Toğan, V., Daloğlu, A.T.: Optimization of 3d trusses with adaptive approach in genetic algorithms. Eng. Struct. 28, 1019–1027 (2006)

    Article  Google Scholar 

  32. Jenkins, W.M.: A decimal-coded evolutionary algorithm for constrained optimization. Comput. Struct. 80(5–6), 471–480 (2002)

    Article  MathSciNet  Google Scholar 

  33. Srivinas, M., Patnaik, L.M.: Adaptive probabilities of crossover and mutation in genetic algorithms. IEEE Trans. Syst. Man Cybern. 24(4), 656–667 (1994)

    Article  Google Scholar 

  34. Toğan, V., Daloğlu, A.: An improved genetic algorithm with initial population and selfadaptive member grouping. Comput. Struct. 86, 1204–1218 (2008)

    Article  Google Scholar 

  35. Toğan, V., Daloğlu, A.: Adaptive approaches in genetic algorithms to catch the global optimum. Proceeding in ACE 2006, October, pp. 11–13. İstanbul, Turkey (2006)

    Google Scholar 

  36. Toğan, V., Daloğlu, A.: optimization of truss systems with metaheuristic algorithms and automatically member grouping. Proceeding in 4th National Steel Structures Symposium, October, pp. 24–26. İstanbul, Turkey (2011)

    Google Scholar 

  37. Bekiroğlu, S.: Optimum design of steel frame with genetic algorithm (in Turkish). M.Sc. thesis, Karadeniz Technical University (2003)

    Google Scholar 

  38. Krishnamoorthy, C.S., Venkatesh, P.P., Sudarshan, R.: Object-oriented framework for genetic algorithms with application to space truss optimization. J. Comput. Civil Eng. 16, 66–75 (2002)

    Article  Google Scholar 

  39. Sudarshan, R.: Genetic algorithms and application to the optimization of space trusses. A Project Report, Madras (India), Indian Institute of Technology (2000)

    Google Scholar 

  40. Galante, M.: Genetic algorithms as an approach to optimize real-world trusses. Int. J. Numer. Meth. Eng. 39, 361–382 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  41. American Institute of Steel Construction (AISC).: Manual of steel construction-allowable stress design, 9th edn. Chicago (1989)

    Google Scholar 

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Correspondence to Ayşe Turhan Daloğlu .

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Toğan, V., Daloğlu, A.T. (2016). Genetic Algorithms for Optimization of 3D Truss Structures. In: Yang, XS., Bekdaş, G., Nigdeli, S. (eds) Metaheuristics and Optimization in Civil Engineering. Modeling and Optimization in Science and Technologies, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-26245-1_6

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  • DOI: https://doi.org/10.1007/978-3-319-26245-1_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26243-7

  • Online ISBN: 978-3-319-26245-1

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