Structural Engineering and Mechanics

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Use of the differential quadrature method for the buckling analysis of cylindrical shell panels

  • Redekop, D. (Department of Mechanical Engineering, University of Ottawa) ;
  • Makhoul, E. (Department of Mechanical Engineering, University of Ottawa)
  • Published : 2000.11.25
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Abstract

Buckling loads are determined for thin isotropic circular cylindrical shell panels subject to radial pressure using the new differential quadrature method. The Budiansky stability theory serves as the basis of the analysis. For this problem involving four boundary lines a two-dimensional approach is used, and a detailed convergence study is carried out to determine the appropriate analysis parameters for the method. Numerical results are determined for a total of twelve cylindrical shell panel cases for a number of different boundary support conditions. The results are compared with analytical and finite element method results. Conclusions are drawn about the technical significance of the results and the solution process.

Keywords

References

  1. Bert, C.W. and Malik, D. (1996), "Free vibration analysis of thin cylindrical shells by the differential quadrature method", ASME J. Pres. Yes. Techn., 118, 1-12. https://doi.org/10.1115/1.2842156
  2. Budiansky, B. (1968), "Notes on nonlinear shell theory", ASME J. Appl. Mech., 40, 393-401.
  3. Flugge, W. (1973), Stresses in Shells, 2nd Ed., Springer, Berlin.
  4. Kounadis, A.N. and Sophianopoulos, D.S. (1996), "Nonlinear dynamic buckling of a cylindrical shell panel model", AIAA J, 34, 2421-2428. https://doi.org/10.2514/3.13411
  5. Makhoul, E., Buckling of Thin Circular Cylindrical Shell Panels by the Differential Quadrature Method, M. A. Sc., Univ. of Ottawa, 2000.
  6. Makhoul, E. and Redekop, D. (1999), "Buckling of cylindrical shell panels using the DQM", Proc. 1st Int. Conf. on Advances in Struct. Eng. Mech., Seoul, 1, 353-358.
  7. NE/NASTRAN, (1998), User's Manual, v. 4.0, Noran Engineering, Inc., Garden Grove, CA.
  8. Redekop, D. and Azar, P. (1991), "Dynamic response of a cylindrical shell panel to explosive loading", ASME J. Vib. Acoust., 113, 273-278. https://doi.org/10.1115/1.2930181
  9. Vandepitte, D. (1999), "Confrontation of shell buckling research results with the collapse of a steel water tower", J. Canst. Steel Research, 49, 303-314. https://doi.org/10.1016/S0143-974X(98)00203-X
  10. Yamada, S. and Croll, J.G.A. (1989), "Buckling behavior of pressure loaded cylindrical panels", ASCE J. Eng. Mech., 115, 327-344. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:2(327)
  11. Yamaki, N. (1984), Elastic Stability of Circular Cylindrical Shells, North Holland, New York.

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