Structural Engineering and Mechanics

  • 제10권5호
  • /
  • Pages.451-462
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  • 2000
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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)
  • 발행 : 2000.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  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.

피인용 문헌

  1. Free vibration of orthotropic functionally graded beams with various end conditions vol.20, pp.4, 2005, https://doi.org/10.12989/sem.2005.20.4.465
  2. The buckling of rectangular plates with opening using a polynomial method vol.21, pp.2, 2005, https://doi.org/10.12989/sem.2005.21.2.151
  3. Postbuckling of pressure-loaded shear deformable laminated cylindrical panels vol.24, pp.4, 2003, https://doi.org/10.1007/BF02439619
  4. Buckling analysis of stiffened circular cylindrical panels using differential quadrature element method vol.46, pp.4, 2008, https://doi.org/10.1016/j.tws.2007.09.004
  5. Postbuckling Behavior of Shear-Deformable Anisotropic Laminated Cylindrical Panels under External Lateral Pressure vol.137, pp.11, 2011, https://doi.org/10.1061/(ASCE)EM.1943-7889.0000279
  6. Postbuckling of Pressure-Loaded Functionally Graded Cylindrical Panels in Thermal Environments vol.129, pp.4, 2003, https://doi.org/10.1061/(ASCE)0733-9399(2003)129:4(414)
  7. Blending Functions for Vibration Analysis of a Cylindrical Shell with an Oblique End vol.03, pp.03, 2003, https://doi.org/10.1142/S0219455403000987
  8. Postbuckling of FGM cylindrical panels resting on elastic foundations subjected to lateral pressure under heat conduction vol.89, 2014, https://doi.org/10.1016/j.ijmecsci.2014.10.010