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Harmony Particle Swarm Algorithm for Structural Design Optimization

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Harmony Search Algorithms for Structural Design Optimization

Part of the book series: Studies in Computational Intelligence ((SCI,volume 239))

Abstract

This chapter introduces the application of an improved particle swarm algorithm to pin connected space structures. The algorithm is named harmony particle swarm optimization (HPSO), as it is based on harmony search schemes and the standard particle swarm algorithm. The efficiency of HPSO for pin connected structures with different variable types including continuous variables and discrete variables is compared with that of other intelligent algorithms, and the implementation of HPSO is presented in detail. An optimal result of a complex practical double-layer grid shell structure is presented to value the effectiveness of the HPSO.

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References

  1. Coello, C.A.C.: Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Computer Methods in Applied Mechanics and Engineering 191(11-12), 1245–1287 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  2. Nanakorn, P., Meesomklin, K.: An adaptive penalty function in genetic algorithms for structural design optimization. Computers and Structures 79(29-30), 2527–2539 (2001)

    Article  Google Scholar 

  3. Deb, K., Gulati, S.: Design of truss-structures for minimum weight using genetic algorithms. Finite Elements in Analysis and Design 37(5), 447–465 (2001)

    Article  MATH  Google Scholar 

  4. Ali, N., Behdinan, K., Fawaz, Z.: Applicability and viability of a GA based finite element analysis architecture for structural design optimization. Computers and Structures 81(22-23), 2259–2271 (2003)

    Article  Google Scholar 

  5. Kennedy, J., Eberhart, R.: Particle swarm optimization. In: IEEE International Conference on Neural Networks, vol. 4, pp. 1942–1948. IEEE Computer Society Press, Los Alamitos (1995)

    Google Scholar 

  6. Kennedy, J., Eberhart, R.C.: Swarm intelligence. Morgan Kaufmann Publishers, San Francisco (2001)

    Google Scholar 

  7. Geem, Z.W.: Particle-swarm harmony search for water network design. Engineering Optimization 41(4), 297–311 (2009)

    Article  Google Scholar 

  8. He, S., Wu, Q.H., Wen, J.Y., Saunders, J.R., Paton, R.C.: A particle swarm optimizer with passive congregation. BioSystem 78(1-3), 135–147 (2004)

    Article  Google Scholar 

  9. Prempain, H.S., Qh, W.: An improved particle swarm optimizer for mechanical design optimization problems. Engineering Optimization 36(5), 585–605 (2004)

    Article  MathSciNet  Google Scholar 

  10. Davis, L.: Genetic algorithms and simulated annealing. Pitman, London (1987)

    MATH  Google Scholar 

  11. Le Riche, R.G., Knopf-Lenoir, C., Haftka, R.T.: A segregated genetic algorithm for constrained structural optimization. In: Sixth International Conference on Genetic Algorithms, pp. 558–565. University of Pittsburgh, Morgan Kaufmann, San Francisco (1995)

    Google Scholar 

  12. Li, L.J., Ren, F.M., Liu, F., Wu, Q.H.: An improved particle swarm optimization method and its application in civil engineering. In: Proceedings of the Fifth International Conference on Engineering Computational Technology, Spain, paper 42 (2006)

    Google Scholar 

  13. Lee, K.S., Geem, Z.W., Lee, S.H., Bae, K.W.: The harmony search heuristic algorithm for discrete structural optimization. Engineering Optimization 37(7), 663–684 (2005)

    Article  MathSciNet  Google Scholar 

  14. Shi, Y., Eberhart, R.C.: A modified particle swarm optimizer. In: Proc. IEEE Inc. Conf. On Evolutionary Computation, pp. 303–308 (1997)

    Google Scholar 

  15. Geem, Z.W., Kim, J.H., Loganathan, G.V.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)

    Article  Google Scholar 

  16. Lee, K.S., Geem, Z.W.: A new structural optimization method based on the harmony search algorithm. Computers and Structures 82(9-10), 781–798 (2004)

    Article  Google Scholar 

  17. Schmit Jr., L.A., Farshi, B.: Some approximation concepts for structural synthesis. AIAA J. 12(5), 692–699 (1974)

    Article  Google Scholar 

  18. Rizzi, P.: Optimization of multiconstrained structures based on optimality criteria. In: AIAA/ASME/SAE 17th Structures, Structural Dynamics and Materials Conference, King of Prussia, PA (1976)

    Google Scholar 

  19. Li, L.J., Huang, Z.B., Liu, F.: A heuristic particle swarm optimizer (HPSO) for optimization of pin connected structures. Computers and Structures 85(7-8), 340–349 (2007)

    Article  Google Scholar 

  20. Khot, N.S., Berke, L.: Structural optimization using optimality criteria methods. In: Atrek, E., Gallagher, R.H., Ragsdell, K.M., Zienkiewicz, O.C. (eds.) New directions in optimum structural design. John Wiley, New York (1984)

    Google Scholar 

  21. Adeli, H., Kumar, S.: Distributed genetic algorithm for structural optimization. J. Aerospace Eng., ASCE 8(3), 156–163 (1995)

    Article  Google Scholar 

  22. Sarma, K.C., Adeli, H.: Fuzzy genetic algorithm for optimization of steel structures. J. Struct. Eng., ASCE 126(5), 596–604 (2000)

    Article  Google Scholar 

  23. He, D.K., Wang, F.L., Mao, Z.Z.: Study on application of genetic algorithm in discrete variables optimization. Journal of System Simulation 18(5), 1154–1156 (2006)

    Google Scholar 

  24. Wu, S.J., Chow, P.T.: Steady-state genetic algorithms for discrete optimization of trusses. Computers and Structures 56(6), 979–991 (1995)

    Article  MATH  Google Scholar 

  25. Parsopoulos, K.E., Vrahatis, M.N.: Recent approaches to global optimization problems through particle swarm optimization. Natural Computing 12(1), 235–306 (2002)

    Article  MathSciNet  Google Scholar 

  26. Li, L.J., Huang, Z.B., Liu, F.: A heuristic particle swarm optimization method for truss structures with discrete variables. Computers and Structures 87(7-8), 435–443 (2009)

    Article  Google Scholar 

  27. Li, L.J., Huang, Z.B., Liu, F.: An improved particle swarm optimizer for truss structure optimization. In: Wang, Y., Cheung, Y.-m., Liu, H. (eds.) CIS 2006. LNCS, vol. 4456, pp. 1–10. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  28. Rajeev, S., Krishnamoorthy, C.S.: Discrete optimization of structures using genetic algorithm. Journal of Structural Engineering, ASCE 118(5), 1123–1250 (1992)

    Article  Google Scholar 

  29. Ringertz, U.T.: On methods for discrete structural constraints. Engineering Optimization 13(1), 47–64 (1988)

    Article  Google Scholar 

  30. Zhang, Y.N., Liu, J.P., Liu, B., Zhu, C.Y., Li, Y.: Application of improved hybrid genetic algorithm to optimize. Journal of South China University of Technology 33(3), 69–72 (2003)

    Google Scholar 

  31. Chinese Criterion, Seamless steel tubes for structural purposes, GB/T8162-1999. Standards Press of China, Beijing (1999)

    Google Scholar 

  32. Chinese Standard, Code for design of steel structures, GB50017-2003. China Architecture and Building Press, Beijing (2006)

    Google Scholar 

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Li, L., Liu, F. (2009). Harmony Particle Swarm Algorithm for Structural Design Optimization. In: Geem, Z.W. (eds) Harmony Search Algorithms for Structural Design Optimization. Studies in Computational Intelligence, vol 239. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03450-3_4

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  • DOI: https://doi.org/10.1007/978-3-642-03450-3_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03449-7

  • Online ISBN: 978-3-642-03450-3

  • eBook Packages: EngineeringEngineering (R0)

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