DOI QR코드

DOI QR Code

A curved shell finite element for the geometrically non-linear analysis of box-girder beams curved in plan

  • Calik-Karakose, Ulku H. (Department of Civil Engineering, Faculty of Civil Engineering, Istanbul Technical University) ;
  • Orakdogen, Engin (Department of Civil Engineering, Faculty of Civil Engineering, Istanbul Technical University) ;
  • Saygun, Ahmet I. (Department of Civil Engineering, Faculty of Civil Engineering, Istanbul Technical University) ;
  • Askes, Harm (Department of Civil and Structural Engineering, University of Sheffield)
  • 투고 : 2013.04.02
  • 심사 : 2014.03.20
  • 발행 : 2014.10.25

초록

A four-noded curved shell finite element for the geometrically non-linear analysis of beams curved in plan is introduced. The structure is conceived as a sequence of macro-elements (ME) having the form of transversal segments of identical topology where each slice is formed using a number of the curved shell elements which have 7 degrees of freedom (DOF) per node. A curved box-girder beam example is modelled using various meshes and linear analysis results are compared to the solutions of a well-known computer program SAP2000. Linear and non-linear analyses of the beam under increasing uniformly distributed loads are also carried out. In addition to box-girder beams, the proposed element can also be used in modelling open-section beams with curved or straight axes and circular plates under radial compression. Buckling loads of a circular plate example are obtained for coarse and successively refined meshes and results are compared with each other. The advantage of this element is that curved systems can be realistically modelled and satisfactory results can be obtained even by using coarse meshes.

키워드

참고문헌

  1. Erkmen, R.E. and Bradford, M.A. (2009), "Nonlinear elastic analysis of composite beams curved in plan", Eng. Struct., 31, 1613-1624. https://doi.org/10.1016/j.engstruct.2009.02.016
  2. Fam, A.R.M. and Turkstra, C.J. (1975), "A finite element scheme for box girder analysis", Comput. Struct., 5, 179-186. https://doi.org/10.1016/0045-7949(75)90008-5
  3. Hall, H.D. (1996), "Curved girders are special", Eng. Struct., 18(10), 769-777. https://doi.org/10.1016/0141-0296(96)00012-0
  4. Hiroshi, N. and Chai, H. (1988), Analysis and Design of Curved Steel Bridges, McHill Book Company, New York, NY.
  5. Hsu, Y.T., Fu, C.C. and Schelling, D.R. (1990), "An improved horizontally curved beam element", Comput. Struct., 34(2), 313-318. https://doi.org/10.1016/0045-7949(90)90375-C
  6. Meyer, C. and Scordelis, A.C. (1971), "Analysis of curved folded plate structures", J. Struct. Div., ASCE, 97(10), 2459-2480.
  7. Moffat, K.R. and Lim, P.T.K. (1977), "Some finite elements having particular application to box girder bridges", IABSE Proceedings.
  8. Park, N.H., Choi, S. and Kang, Y.J. (2005), "Exact distortional behaviour and practical distortional analysis of multicell box girders using an expanded method", Comput. Struct., 83, 1607-1626. https://doi.org/10.1016/j.compstruc.2005.01.003
  9. Razaqpur, A.G. and Li, H. (1991), "Thin-walled multicell box-girder finite element", J. Struct. Eng., 117, 2953-2971. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:10(2953)
  10. Razaqpur, A.G. and Li, H.G. (1994), "Refined analysis of curved thin-walled multicell box girders", Comput. Struct., 53, 131-142. https://doi.org/10.1016/0045-7949(94)90136-8
  11. Razaqpur, A.G. and Li, H.G. (1997), "Analysis of curved multicell box girder assemblages", Struct. Eng. Mech., 5(1), 33-49. https://doi.org/10.12989/sem.1997.5.1.033
  12. Shanmugam, N.E., Thevendran, V., Liew, J.Y.R. and Tan, L.O. (1995), "Experimental study on steel beams curved in plan", J. Struct. Eng., ASCE, 121(2), 249-259. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:2(249)
  13. Timoshenko, S.P. and Gere, J.M. (1961), Theory of Elastic Stability, McGraw-Hill.
  14. Vo, T.P. and Lee, J. (2009), "Geometrically nonlinear analysis of thin-walled composite box beams", Comput. Struct., 87, 236-245. https://doi.org/10.1016/j.compstruc.2008.10.002
  15. Vo, T.P. and Lee, J. (2010), "Geometrically nonlinear analysis of thin-walled open-section composite beams", Comput. Struct., 88, 347-356. https://doi.org/10.1016/j.compstruc.2009.11.007
  16. Wang, R.H., Li, Q.S., Wu, J.R. and Tang, J. (2005), "A spatial elastic displacement model for curved box girders with corner stiffeners", Comput. Struct., 83, 1021-1029. https://doi.org/10.1016/j.compstruc.2004.10.003
  17. Wang, X. and Yang, Q. (2009), "Geometrically nonlinear finite element model of spatial thin-walled beams with general open cross section", Acta Mechanica Solida Sinica, 22(1), 64-72. https://doi.org/10.1016/S0894-9166(09)60091-4
  18. Zhang, S.H. and Lyons, L.P.R. (1984), "A thin-walled box beam finite element for curved bridge analysis", Comput. Struct., 18(6), 1035-1046. https://doi.org/10.1016/0045-7949(84)90148-2
  19. Zureick, A., Linzell, D., Leon, R.T. and Burrell, J. (2000), "Curved steel I-girder bridges: experimental and analytical studies", Eng. Struct., 22, 180-190. https://doi.org/10.1016/S0141-0296(98)00107-2

피인용 문헌

  1. Spatial Finite Element Analysis for Dynamic Response of Curved Thin-Walled Box Girder Bridges vol.2016, 2016, https://doi.org/10.1155/2016/8460130