Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

A non-symmetric non-periodic B3-spline finite strip method

  • Received : 2003.10.10
  • Accepted : 2004.03.23
  • Published : 2004.08.25
⟨ Previous Next ⟩

Abstract

In the earlier application of the spline finite strip method(FSM), the uniform B3-spline functions were used in the longitudinal direction while the conventional interpolation functions were used in the transverse direction to construct the displacement filed in a strip. To overcome the shortcoming of the uniform B3-spline, non-periodic B-spline was developed as the displacement function. The use of non-periodic B3-spline function requires no tangential vectors at both ends to interpolate the geometry of shell and the Kronecker delta property is also satisfied at the end boundaries. Recently, non-periodic spline FSM which was modified to have a multiple knots at the boundary was developed for the shell analysis and applied to the analysis of bridges. In the formulation of a non-symmetric spline finite strip method, the concepts of non-periodic B3-spline and a stress-resultant finite strip with drilling degrees of freedom for a shell are used. The introduction of non-symmetrically spaced knots in the longitudinal direction allows the selective local refinement to improve the accuracy of solution at the connections or at the location of concentrated load. A number of numerical tests were performed to prove the accuracy and efficiency of the present study.

Keywords

References

  1. Au, F.T.K and Cheung, Y.K. (1993), "Isoparametric spline finite strip for plane structures", Comput. Struct., 48(1), 23-32. https://doi.org/10.1016/0045-7949(93)90455-M
  2. Cheung, Y.K. (1983), "Static analysis of right box girder bridges by spline finite strip method", Proc. the Institution of Civil Engineers, Part 2, 75, June, 311-323. https://doi.org/10.1680/iicep.1983.1507
  3. Cheung, Y.K. and Au, F.T.K. (1995), "Isoparametric spline finite strip for degenerated shells", Thin-Walled Structures, 21, 65-92. https://doi.org/10.1016/0263-8231(94)P4393-O
  4. Choi, C.K. and Hong, H.S. (2001), "Finite strip analysis of multi-span box girder bridges by using non-periodic B-spline interpolation", Struct. Eng. Mech., 12(3), 313-328. https://doi.org/10.12989/sem.2001.12.3.313
  5. Choi, C.K., Hong, H.S. and Kim, K.H. (2003), "Unequally spaced non-periodic B-spline finite strip method", Int. J. Numer. Meth. Eng., 57, 35-55. https://doi.org/10.1002/nme.669
  6. Choi, C.K., Kim, K.H. and Hong, H.S. (2002), "Spline finite strip analysis of prestressed concrete box-girder bridges", Eng. Struct., 24(12), 1575-1586 https://doi.org/10.1016/S0141-0296(02)00101-3
  7. Chroscielewski, J., Makowski, J. and Stumpf, H. (1997), "Finite element analysis of smooth, folded and multishell structure", Comput. Meth. Appl. Mech. Eng., 141, 1-46. https://doi.org/10.1016/S0045-7825(96)01046-8
  8. Fam, A.R.M. and Turkstra, C. (1975), "A finite element scheme for box bridge analysis", Comput. Struct., 5, 179-186. https://doi.org/10.1016/0045-7949(75)90008-5
  9. Fam, A.R.M. and Turkstra, C. (1976), "Model study of horizontally curved box girder", J. Struct. Div., ASCE, ST5, 1097-1108.
  10. Hong, H.S. (2001), "A study on the development of shell strip by non-periodic B-spline finite strip method and application to bridge analysis", Ph.D. Dissertation, Department of Civil and Environmental Engineering, KAIST
  11. Ibrahimbegovic, A., Taylor, R.L. and Wilson, E.L. (1990), "A robust quadrilateral membrane finite element with drilling degree of freedom", Int. J. Numer. Meth. Eng., 30, 445-457. https://doi.org/10.1002/nme.1620300305
  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. Kim, K.H. (2003), "A non-symmetric.non-periodic B3-spline spline finite strip element and its application to bridge analysis", Ph.D. Dissertation, Department of Civil and Environmental Engineering, KAIST.
  14. Structural System Lab. (1998), KAIST. FESA. User's Manual.
  15. Zienkiewicz, O.C., Taylor, R.L. and Too, J.M. (1971), "Reduced integration technique in general analysis plates and shells", Int. J. Numer. Meth. Eng., 3, 275-290. https://doi.org/10.1002/nme.1620030211