Structural Engineering and Mechanics

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Optimization of trusses under uncertainties with harmony search

  • Togan, Vedat (Department of Civil Engineering, Karadeniz Technical University) ;
  • Daloglu, Ayse T. (Department of Civil Engineering, Karadeniz Technical University) ;
  • Karadeniz, Halil (Faculty of Civil Engineering and Geosciences, Delft University of Technology)
  • Received : 2010.03.22
  • Accepted : 2010.11.17
  • Published : 2011.03.10
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Abstract

In structural engineering there are randomness inherently exist on determination of the loads, strength, geometry, and so on, and the manufacturing of the structural members, workmanship etc. Thus, objective and constraint functions of the optimization problem are functions that depend on those randomly natured components. The constraints being the function of the random variables are evaluated by using reliability index or performance measure approaches in the optimization process. In this study, the minimum weight of a space truss is obtained under the uncertainties on the load, material and cross-section areas with harmony search using reliability index and performance measure approaches. Consequently, optimization algorithm produces the same result when both the approaches converge. Performance measure approach, however, is more efficient compare to reliability index approach in terms of the convergence rate and iterations needed.

Keywords

References

  1. Cheng, G., Xu, L. and Jiang, L. (2006), "A sequential approximate programming strategy for reliability based structural optimization", Comput. Struct., 84, 1353-1367. https://doi.org/10.1016/j.compstruc.2006.03.006
  2. Choi, S.K., Grandhi, R.V. and Canfield, R.A. (2007), Reliability Based Structural Design, Springer, London.
  3. Degertekin, S.O. (2008), "Optimum design of steel frames using harmony search algorithm", Struct. Multidiscip. O., 36, 393-401. https://doi.org/10.1007/s00158-007-0177-4
  4. Der Kiureghian, A., Zhang, Y. and Li, C.C. (1994), "Inverse reliability problem", J. Eng. Mech.-ASCE, 120, 1154-1159. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:5(1154)
  5. Enevoldsen, I. and Sorensen, J.D. (1994), "Reliability based optimization in structural engineering", Struct. Saf., 15, 169-196. https://doi.org/10.1016/0167-4730(94)90039-6
  6. Gasser, M. and Schueller, G.I. (1997), "Reliability based optimization of structural systems", Math. Method Oper. Res., 46, 287-307. https://doi.org/10.1007/BF01194858
  7. Geem, Z.W., Kim, J.H. and Loganathan, G.V. (2001), "A new heuristic optimization algorithm: Harmony search", Simulation, 76(2), 60-68. https://doi.org/10.1177/003754970107600201
  8. Geem, Z.W. (2000), "Optimal design of water distribution networks using harmony search", PhD Thesis, Korea University.
  9. Haug, E.J., Choi, K.K. and Komkov, V. (1986), Design Sensitivity Analysis of Structural Systems, Academic Press, Orlando.
  10. JCSS (2000), Probabilistic Model Code, Part 1-Basis of Design, Joint Committee on Structural Safetys.
  11. Karadeniz, H. and Vrouwenvelder, T. (2006), Overview of Reliability Methods, Report-SAF-R5-1-TUD-01-(10), Delft University of Technology.
  12. Kharmanda, G., Mohamed, A. and Lemaire, M. (2002), "Efficient reliability based design optimization using a hybrid space with application to finite element analysis", Struct. Multidiscip. O., 24, 233-245. https://doi.org/10.1007/s00158-002-0233-z
  13. Kuschel, N. and Rackwitz, R. (1997), "Two basic problem in algorithms for reliability-based optimal design", Math. Method Oper. Res., 46, 309-333. https://doi.org/10.1007/BF01194859
  14. Lee, J.O., Yang, Y.S. and Ruy, W.S. (2002), "A comparative study on reliability index and target-performance based probabilistic structural design optimization", Comput. Struct., 80, 257-269. https://doi.org/10.1016/S0045-7949(02)00006-8
  15. Li, H. and Foschi, R.O. (1998), "An inverse reliability method and its application", Struct. Saf., 20, 257-270. https://doi.org/10.1016/S0167-4730(98)00010-1
  16. Madsen, H.O., Krenk, S. and Lind, N.C. (1986), Methods of Structural Safety, Prentice-Hall, New Jersey.
  17. Melchers, R.E. (2001), Structural Reliability Analysis and Prediction, John Wiley & Sons, Chichester.
  18. Mohamed, A. and Lemaire, M. (1999), "The use of sensitivity operators in the reliability analysis of structures", Proceeding of 3th International Conference on Computational Stochastic Mechanics, Balkema.
  19. Saka, M.P. (2007), "Optimum geometry design of geodesic domes using harmony search algorithm", Adv. Struct. Eng., 10(6), 595-606. https://doi.org/10.1260/136943307783571445
  20. TS 648 (1982), Building Code for Steel Structures, Turkish Standard Institute (TSE), Ankara
  21. Tu, J., Choi, K.K. and Park, Y.H. (1999), "A new study on reliability based design optimization", J. Mech. Design, 121(4), 557-564. https://doi.org/10.1115/1.2829499
  22. Tu, J. (1999), "Design potential concept for reliability based design optimization", PhD Thesis, The University of Iowa.

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