Structural Engineering and Mechanics

  • 제67권1호
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  • Pages.79-85
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  • 2018
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Topology optimization of reinforced concrete structure using composite truss-like model

  • Yang, Zhiyi (College of Civil Engineering, Huaqiao University) ;
  • Zhou, Kemin (College of Civil Engineering, Huaqiao University) ;
  • Qiao, Shengfang (School of Civil Engineering and Transportation, South China University of Technology)
  • 투고 : 2018.01.23
  • 심사 : 2018.04.18
  • 발행 : 2018.07.10
⟨ 이전 논문 다음 논문 ⟩

초록

Topology optimization of steel and concrete composite based on truss-like material model is studied in this paper. First, the initial design domain is filled with concrete, and the steel is distributed in it. The problem of topology optimization is to minimize the volume of steel material and solved by full stress method. Then the optimized steel and concrete composite truss-like continuum is obtained. Finally, the distribution of steel material is determined based on the optimized truss-like continuum. Several numerical results indicate the numerical instability and rough boundary are settled. And more details of manufacture and construction can be presented based on the truss-like material model. Hence, the truss-like material model of steel and concrete is efficient to establish the distribution of steel material in concrete.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China, Huaqiao University

참고문헌

  1. Bendsoe, M.P. and Kikuchi, N. (1988), "Generating optimal topologies in structural design using a homogenization method", Comput. Meth. Appl. Mech.Eng., 71(2), 197-224 https://doi.org/10.1016/0045-7825(88)90086-2
  2. Bendsoe, M.P. and Sigmund, O. (2003), Topology Optimization: Theory, Methods and Applications, Springer Science & Business Media.
  3. Deaton, J.D. and Grandhi, R.V. (2014), "A survey of structural and multidisciplinary continuum topology optimization: Post 2000", Struct. Multidiscipl. Optim., 49(1), 1-38. https://doi.org/10.1007/s00158-013-0956-z
  4. Eschenauer, H.A. and Kobelev, V.V. (1994), "Schumacher A. Bubble method for topology and shape optimization of structures", Struct. Optim., 8(1), 42-51. https://doi.org/10.1007/BF01742933
  5. Eschenauer, H.A. and Olhoff, N. (2001), "Topology optimization of continuum structures: A review", Appl. Mech. Rev., 54(4), 331-390. https://doi.org/10.1115/1.1388075
  6. Kumar, P. (1978), "Optimal force transmission in reinforced concrete deep beams", Comput. Struct., 8(2), 223-229. https://doi.org/10.1016/0045-7949(78)90026-3
  7. Liang, Q.Q. (2005), Performance-Based Optimization of Structures, Spon Press, London, U.K., New York, U.S.A.
  8. Liang, Q.Q., Xie, Y.M. and Steven, G.P. (2000), "Topology optimization of strut-and-tie models in reinforced concrete structures using an evolutionary procedure", ACI Struct. J., 97(2), 322-332.
  9. Liu, S. and Qiao, H. (2011), "Topology optimization of continuum structures with different tensile and compressive properties in bridge layout design", Struct. Multidiscipl. Optim., 43(3), 369-380. https://doi.org/10.1007/s00158-010-0567-x
  10. Matteo, B. (2009), "Generating strut-and-tie patterns for reinforced concrete structures using topology optimization", Comput. Struct., 87(23-24), 1483-1495. https://doi.org/10.1016/j.compstruc.2009.06.003
  11. Matteo, B. (2016), "A numerical method to generate optimal load paths in plain and reinforced concrete structures", Comput. Struct., 170, 26-36. https://doi.org/10.1016/j.compstruc.2016.03.012
  12. Michell, A.G.M. (1904), "The limits of economy of material in frame-structures", Lond. Edinb. Dubl. Philosoph. Mag. J. Sci., 8(47), 589-597.
  13. Ole Sigmund, K.M. (2013), "Topology optimization approaches a comparative review", Struct. Multidisc. Optim., 48(6), 1031-1055. https://doi.org/10.1007/s00158-013-0978-6
  14. Osher, S. and Sethian, J.A. (1988), "Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations", J. Comput. Phys., 79(1), 12-49. https://doi.org/10.1016/0021-9991(88)90002-2
  15. Rozvany, G.I.N. (1996), "Some shortcomings in Michell's truss theory", Struct. Optim., 12(4), 244-250. https://doi.org/10.1007/BF01197364
  16. Rozvany, G.I.N. (2001), "Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics", Struct. Multidiscipl. Optim., 21(2), 90-108. https://doi.org/10.1007/s001580050174
  17. Shengfang, Q., Xiaolei, H. and Kemin, Z. (2017), "Bracing configuration and seismic performance of reinforced concrete frame with brace", Struct. Des. Tall Spec. Build., 26(14), 1-14.
  18. Shengfang, Q., Xiaolei, H., Kemin, Z. and Jing, J. (2016), "Seismic analysis of steel structure with brace configuration using topology optimization", Steel Compos. Struct., 21(3), 501-515. https://doi.org/10.12989/scs.2016.21.3.501
  19. Shengfang, Q., Xiaolei, H., Kemin, Z. and Weichen, L. (2017), "Conceptual configuration and seismic performance of high-rise steel braced frame", Steel Compos. Struct., 23(2), 173-186. https://doi.org/10.12989/scs.2017.23.2.173
  20. Sigmund, O. and Maute, K. (2013), "Topology optimization approaches", Struct. Multidiscipl. Optim., 48(6), 1031-1055. https://doi.org/10.1007/s00158-013-0978-6
  21. Valerio, S., Almeida, H.L.S. and Luttgardes, O.N. (2013), "Comparative analysis of strut-and-tie models using smooth evolutionary structural optimization", Eng. Struct., 56, 1665-1675. https://doi.org/10.1016/j.engstruct.2013.07.007
  22. Xie, Y.M. and Steven, G.P. (1993), "A simple evolutionary procedure for structural optimization", Comput. Struct., 49(5), 885-896. https://doi.org/10.1016/0045-7949(93)90035-C
  23. Zhou, K. (2016), "Topology optimization of bracing systems using a truss-like material model", Steel Compos. Struct., 28(2), 231-242.
  24. Zhou, K. and Li, J. (2005), "Forming Michell truss in threedimensions by finite element method", Appl. Math. Mech. Eng. Ed., 26(3), 381-388. https://doi.org/10.1007/BF02440089
  25. Zhou, K. and Li, X. (2008), "Topology optimization for minimum compliance under multiple loads based on continuous distribution of members", Struct. Multidiscipl. Optim., 37(1), 49-56. https://doi.org/10.1007/s00158-007-0214-3
  26. Zhou, K. and Li, X. (2011), "Topology optimization of truss-like continua with three families of members model under stress constraints", Struct. Multidiscipl. Optim., 43(4), 487-493. https://doi.org/10.1007/s00158-010-0584-9
  27. Zhou, M. and Rozvany, G.I.N. (1991), "The COC algorithm, part II: Topological, geometrical and generalized shape optimization", Comput. Meth. Apl. Mech. Eng., 89(1), 309-336. https://doi.org/10.1016/0045-7825(91)90046-9

피인용 문헌

  1. Reinforcement layout design of RC structures under multiple load cases using truss-like material model vol.17, pp.4, 2020, https://doi.org/10.1590/1679-78255930
  2. Multi-material topology optimization for crack problems based on eXtended isogeometric analysis vol.37, pp.6, 2018, https://doi.org/10.12989/scs.2020.37.6.663
  3. Topology Optimisation in Structural Steel Design for Additive Manufacturing vol.11, pp.5, 2018, https://doi.org/10.3390/app11052112