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Finite strip analysis of multi-span box girder bridges by using non-periodic B-spline interpolation

  • Choi, C.K. (Department of Civil Engineering, KAIST) ;
  • Hong, H.S. (Structural Division, Chungsuk Engineering Co.)
  • Published : 2001.09.25

Abstract

A multi-span bridge has the peak value of resultant girder moment or membrane stress at the interior support. In this paper, the spline finite strip method (FSM) is modified to obtain the more appropriate solution at the interior support where the peak values of solution exist. The modification has been achieved by expressing the shape function with non-periodic B-splines which have multiple knots at the boundary. The modified B-splines have the useful feature for interpolating the curve with sudden change in curvature. Moreover, the modified spline FSM is very efficient in analyzing multi-span box girder bridges, since a bridge can be modeled by an assembly of strips extended along the entire bridge length. Numerical examples of the bridge analysis have been performed to verify the efficiency and accuracy of the new spline FSM.

Keywords

References

  1. Au, F.T.K, and Cheung, Y.K. (1996), "Static and free vibration analysis of variable-depth bridges of arbitrary alignments using the isoparametric spline finite strip method", Thin-Walled Structures, 24, 19-51. https://doi.org/10.1016/0263-8231(95)00038-0
  2. Chen, C.J., Gutkowski, R.M., and Puckett, J.A. (1991), "Spline compound strip analysis of folded plate structures with intermediate supports", Comput. and Struct., 39(3/4), 369-379. https://doi.org/10.1016/0045-7949(91)90033-I
  3. Cheung, Y.K., and Fan, S.C. (1983), "Static Analysis of right box girder bridges by spline finite strip method", Proc. of the Inst. of Civil Engineers, Part 2, 75, June, 311-323.1. https://doi.org/10.1680/iicep.1983.1507
  4. Cheung, Y.K., and Au, F.T.K. (1995), "Isoparametric spline finite strip for degenerated shells", Thin-Walled Structures, 21, 65-92.2. https://doi.org/10.1016/0263-8231(94)P4393-O
  5. Choi, C.K., and Paik, J.G. (1994), "An efficient four node degenerated shell element based on the assumed covariant strain", Struct. Eng. and Mech., 2(1), 17-34. https://doi.org/10.12989/sem.1994.2.1.017
  6. Choi, C.K., Lee, P.S., and Park, Y.M. (1999), "High performance 4-node flat shell element: NMS-4F element", Struct. Eng. and Mech., 8(2), 209-234.
  7. Choi, C.K., and Hong, H.S. (2001), "Assumed strain finite strip method using the non-periodic B-spline", Struct. Eng. and Mech., submitted.
  8. Cook, R.D. (1989), Concepts and Applications of Finite Element Analysis, John Wiley & Sons., New York.
  9. Farin, G. (1992), Curves and Surfaces for Computer Aided Geometric Design A Practical Guide, Academic Press.
  10. Faux, I.D., and Pratt, M.J. (1981), Computational Geometry for Design and Manufacture, Ellis Horwood.
  11. Hoshek, J., and Lasser, D. (1989), Fundamentals of Computer Aided Geometric Design, Wellesley, Massachusetts.
  12. Kebari, H, and Cassell, A.C. (1991), "Non-conforming modes stabilization of a nine-node stress-resultant degenerated shell element with drilling freedom", Comput. & Struct., 40(3), 569-580. https://doi.org/10.1016/0045-7949(91)90227-D
  13. Lashkari, M. (1992), COSMOS/M User Guide, 7th edn. Structural Research and Analysis Corporation
  14. Lim, C.G. (1999), "A universal parametrization in B-spline curve and surface interpolation", Computer Aided Geometric Design, 16, 407-422. https://doi.org/10.1016/S0167-8396(99)00010-2
  15. Meyer, C. (1970), "Analysis and design of curved box girder bridges", SESM Report No. 70-22, Department of Civil Engineering, University of California at Berkeley.
  16. SAP 2000 (1998), Analysis Reference, Computers & Structures Inc.
  17. Uko, C.E.A., and Cusens, A.R. (1988), "Application of spline finite strip analysis to variable depth bridges", Communications in Applied Numerical Methods, 4, 273-278.

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