Structural Engineering and Mechanics

Techno-Press (테크노프레스)
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The use of topology optimization in the design of truss and frame bridge girders

  • Received : 2011.08.06
  • Accepted : 2014.05.01
  • Published : 2014.07.10
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Abstract

It is shown that topology optimization is a valuable tool for the design of bridge girders. This paper is a follow-up to (Kuty${\l}$owski and Rasiak 2014) and it includes an analysis of truss members' outer dimensions dictated by the standards. Moreover, a frame bridge girder mapped from a selected topology is compared with a typical frame girder on the basis of (Kuty${\l}$owski and Rasiak 2014). The analysis shows that topology optimization by means of the proposed algorithm yields a topology from which one can map a frame bridge girder requiring less material for its construction than the typical frame girder currently used in bridge construction.

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References

  1. Bendsoe, M.P. (1989), "Optimal shape design as a material distribution problem", Struct. Optim., 1(4), 193-202. https://doi.org/10.1007/BF01650949
  2. Bendsoe, M.P. and Sigmund, O. (1999), "Material interpolation schemes in topology optimization", Arch. Appl. Mech., 69(9-10), 635-654. https://doi.org/10.1007/s004190050248
  3. Bendsoe, M.P. and Sigmund, O. (2003), Topology optimization, theory, methods and applications, Springer, Berlin Heidelberg New York.
  4. Huang, X. and Xie, Y.M. (2010), "Evolutionary topology optimization of geometrically and materially nonlinear structures under prescribed design load", Struct. Eng. Mech., 34(5), 581-595. https://doi.org/10.12989/sem.2010.34.5.581
  5. Kmita, J., Bien, J. and Machelski., Cz. (1989), Komputerowe wspomaganie projektowania mostow (Computer aided bridge design), WKiL, Warsaw, Poland.
  6. KutyIowski, R. (2002), "On nonunique solutions in topology optimization", Struct. Mult. Optim., 23(5), 398-403. https://doi.org/10.1007/s00158-002-0200-8
  7. KutyIowski, R. and Rasiak, B. (2008), "Influence of various design parameters on the quality of optimal shape design in topology optimization analysis", Proceedings in Applied Mathematics and Mechanics (PAMM), 8, 10797-10798. https://doi.org/10.1002/pamm.200810797
  8. KutyIowski, R. (2009), "Topology optimization of the structure using multimaterial inclusions", Struct. Eng. Mech., 33(3), 285-306. https://doi.org/10.12989/sem.2009.33.3.285
  9. KutyIowski, R. and Rasiak, B. (2014), "Application of topology optimization to bridge girder design", Struct. Eng. Mech., 51(1), 39-66. https://doi.org/10.12989/sem.2014.51.1.039
  10. Lee, E.H. and Park, J. (2011), "Structural design using topology and shape optimization", Struct. Eng. Mech., 38(4), 517-527. https://doi.org/10.12989/sem.2011.38.4.517
  11. Lee, D.K., Starossek, U. and Shin, S.M. (2010), "Topological optimized design considering dynamic problem with non-stochastic structural uncertainty", Struct. Eng. Mech., 36(1), 79-94. https://doi.org/10.12989/sem.2010.36.1.079
  12. Ramm, E., Bletzinger, K.U., Reitinger, R. and Maute, K. (1994), "The challenge of structural optimization", Advanced in Structural Optimization (Int. Conf. on Computational Structures Technology held in Athen), Eds. Topping, B.H.V. and Papadrakakis, M., 27-52.
  13. Yang, Z.J., Chen, X. and Kelly, R. (2011), "A topological optimization method for flexible multi-body dynamic system using epsilon algorithm", Struct. Eng. Mech., 37(5), 475-487. https://doi.org/10.12989/sem.2011.37.5.475
  14. Code 1 PN-85/S-10030, Obiekty mostowe. Obciazenia, (Bridges. Loading).
  15. Code 2 PN-82/S-10052, Obiekty mostowe. Konstrukcje stalowe, Projektowanie, (Bridges. Steel structures. Designing).
  16. Code 3 PN-90/B-03200, Konstrukcje stalowe, Obliczenia statyczne i projektowanie, (Steel structures. Static calculations and designing).

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