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Fourier series expansion method for plated-structures

  • 발행 : 1999.10.25

초록

This work applies a structural analysis method based on an analytical solution from the Fourier series which transforms a half-range cosine expansion into a static solution involving plated structures. Two sub-matrices of in-plane and plate-bending problems are also formulated and coupled with the prescribed boundary conditions for these variables, thereby providing a convenient basis for a numerical solution. In addition, the plate connection are introduced by describing the connection between common boundary continuity and equilibrium. Moreover, a simple computation scheme is proposed. Numerical results are then compared with finite element results, demonstrating the numerical scheme's versatility and accuracy.

키워드

참고문헌

  1. ANSYS Version 5.1 User's Manual. (1994), Swanson Analysis Systems Inc. Houston, Pa.
  2. Boswell, L.F. and Zhang, S.H. (1983), "A box beam finite element for the elastic analysis of thin-walled Structures" , Thin-Walled Structures, 1(4), 353-383. https://doi.org/10.1016/0263-8231(83)90014-9
  3. Cheung, Y.K (1976), Finite Strip Method in Structural Analysis, Pergammom Press, Elmsford, N.Y.
  4. Deng, J.C. and Cheng, F.P. (1997), "A Fourier series expansion method for two dimensional elastostatics" , Submitted to Computers & Structures.
  5. Hartiey, G.A. and Abdel-Akher, A. (1993), "Analysis of building frames", Journal of Structural Engineering, ASCE, 119(2), 468-483. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:2(468)
  6. Hrabok, M.M. and Hrudley, T.M. (1983), "Finite element analysis in design of floor systems", J. Struct. Div., ASCE, 109(4), 909-925. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:4(909)
  7. Irons, B.M. (1976), "The semioof shell element", Finite Elements for Thin Shells and Curved Members, D.G. Ashwell and R.H. Gallagher, Eds., John Wiley and Sons, Inc., New York, N.Y. 197-222.
  8. Ishac, I.I. and Smith, T.R.G. (1985), "Approximations for moments in box girders", Journal of the Structural Division, ASCE, 116(11), 2333-2341.
  9. Kang, L.C. (1992), A Fourier series method for polygonal domains; large element computation for plates" , Ph.D. thesis, Stanford University.
  10. Kristek, V. (1979), "Folded plate approach to analysis of shear wall systems and frame structures", Proc., Institution of Civil Engineers, Part 2, 1065-1075.
  11. Kukreti, A.R. and Rajapaksa, Y. (1990), Analysis procedure for ribbed and gird plate systems used for bridge decks" , Journal of the Structural Division, ASCE, 116(2), 372-391. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:2(372)
  12. Maugh, L.C. and Pan, C.W. (1942), "Moments in continuous rectangular slabs on rigid supports", Transactions, ASCE, 107, 1118-1142.
  13. Mikkola, M.J. and Paavola, J. (1980), "Finite element analysis of box girders", Journal of the Structural Division, ASCE, 106(6), 1343-1357.
  14. Moffat, K.R. and Lim, P.T.K. (1977), "Some finite elements having particular application to box girder bridges", Proceedings of the International Association of Bridges and Structural Engineering, Zurich, Switzerland, Feb. 1-12.
  15. Moody, W.T. (1960), Moments and Reactions for Rectangular Plates. U.S. Department of Interior Bureau of Reclamation Engineering Monograph. (27).
  16. Ohga, M. Shigematsu, T. and Hara, T. (1991), "Boundary element transfer matrix method for plated structures" , Journal of Engineering Mechanics, ASCE, 117(11), 2509-2526. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:11(2509)
  17. Puckett, J.A. and Gutkowski, R.M. (1986), "Compound strip method for analysis of plate systems", Journal of Structural Engineering, ASCE, 112(1), 121-138. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:1(121)
  18. Timoshenko, S.P. and Woinowsky-Krieger, S. (1959). Theory of Plates and Shells, 2nd Ed., McGraw-Hill, New York, N.Y.

피인용 문헌

  1. Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum vol.19, pp.5, 2002, https://doi.org/10.1108/02644400210435843