Structural Engineering and Mechanics

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Optimal design using genetic algorithm with nonlinear elastic analysis

  • Kim, Seung-Eock (Civil & Environmental Engineering, Construction Tech. Research Institute, Sejong University) ;
  • Song, Weon-Keun (Korea Infrastructure Safety and Technology Corporation) ;
  • Ma, Sang-Soo (Korea Infrastructure Safety and Technology Corporation)
  • Received : 2003.01.23
  • Accepted : 2003.12.18
  • Published : 2004.05.25
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Abstract

An optimal design method with nonlinear elastic analysis is presented. The proposed nonlinear elastic method overcomes the drawback of the conventional LRFD method that accounts for nonlinear effect by using the moment amplification factors of $B_1$ and $B_2$. The genetic algorithm used is a procedure based on Darwinian notions of survival of the fittest, where selection, crossover, and mutation operators are employed to look for high performance ones among sections in the database. They are satisfied with the constraint functions and give the lightest weight to the structure. The objective function taken is the total weight of the steel structure and the constraint functions are strength, serviceability, and ductility requirement. Case studies of a planar portal frame, a space two-story frame, and a three-dimensional steel arch bridge are presented.

Keywords

References

  1. AASHTO (1998), AASHTO LRFD Bridge Design Specification, AASHTO, 2nd ed.
  2. ABAQUS/Standard User's Manual Version 5.8, Vol. I, Pawtucket (RI): Hibbit, Karlsson and Sorensen, 1998.
  3. Ad Hoc Committee on Serviceability (1986), "Structural serviceability: a critical appraisal and research needs",J. Struct. Eng., ASCE, 112(12), 2646-2664. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:12(2646)
  4. AISC (2001), Load and Resistance Factor Design Specification, AISC, 3rd ed., Chicago.
  5. ANSYS/Online Manual Version 5.5, ANSYS., 2000.
  6. Chen, S.Y. and Rajan, S.D. (2000), "A robust genetic algorithm for structural optimization", Struct. Eng. Mech.,10(4), 313-336. https://doi.org/10.12989/sem.2000.10.4.313
  7. Chen, W.F. and Kim, S.E. (1997), LRFD Steel Design Using Advanced Analysis, CRC Press, Boca Raton,Florida.
  8. Chen, W.F. and Lui, E.M. (1987), Structural Stability - Theory and Implementation, Elsevier Science PublicationCo., New York.
  9. Dumontei, P. (1992), "Simple equations for effective length factors", Engineering Journal, AISC, 29, ThirdQuarter, 111-115.
  10. Ellingwood, B. (1989), "Serviceability guidelines for steel structures", Engineering Journal, AISC, 26, 1stQuarter, 1-8.
  11. Erbatur, F., Hasançebi, O., Tütünü, I. and Kihç, H. (2000), "Optimal design of planar and space structures withgenetic algorithms", Comput. Struct., 75, 209-224. https://doi.org/10.1016/S0045-7949(99)00084-X
  12. Holland, J.H. (1975), Adaptation in Natural and Artificial Systems. Ann Arbor, Michigan, The University ofMichigan Press.
  13. Jenkins, W.M. (1991), "Structural optimization with the genetic algorithm", The Structural Engineer, 69(24),418-422.
  14. Kim, S.E. and Chen, W.F. (1996a), "Practical advanced analysis for braced steel frame design", J. Struct. Eng.,ASCE, 122(11), 1266-1274. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:11(1266)
  15. Kim, S.E. and Chen, W.F. (1996b), "Practical advanced analysis for unbraced steel frame design", J. Struct.Eng., ASCE, 122(11), 1259-1265. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:11(1259)
  16. Kim, S.E., Park, M.H. and Choi, S.H. (2001), "Direct design of three-dimensional frames using practicaladvanced anlysis", Eng. Struct., 23(11), 1491-1502. https://doi.org/10.1016/S0141-0296(01)00041-4
  17. Kim, S.E. and Choi, S.H. (2001), "Practical advanced analysis for semi-rigid space frames", Int. J. Solids Struct.,38, 9111-9131. https://doi.org/10.1016/S0020-7683(01)00141-X
  18. Li, H. and Love, P. (1997), "Using improved genetic algorithm to facilitate time-cost optimization", J.Construction Engineering and Management, 123(3), 233-237. https://doi.org/10.1061/(ASCE)0733-9364(1997)123:3(233)
  19. Lin, C.Y. and Hajela, P. (1992), "Genetic algorithm in optimization problems with discrete and integer designvariables", Engng Optim, 19, 309-327. https://doi.org/10.1080/03052159208941234
  20. Rajeev, S. and Krishnamoorthy, C.S. (1992), "Discrete optimization of structures using genetic algorithms", J.Struct Engng, ASCE, 118(5), 1233-1250. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:5(1233)
  21. Salmon, C.G. and Johnson, J.E. (1990), Steel Structures : Design and Behavior : Emphasizing Load andResistance Factor Design, 3rd ed., HarperCollinsPublishers Inc., New York.
  22. Segui, W.T. (1998), LRFD Steel Design, 2nd ed., Brooks/Cole Publishing Inc., Pacific Grove, California.

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