DOI QR코드

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Comparison of elastic buckling loads for liquid storage tanks

  • Mirfakhraei, P. (Department of Mechanical Engineering University of Ottawa) ;
  • Redekop, D. (Department of Mechanical Engineering University of Ottawa)
  • 투고 : 2001.06.21
  • 심사 : 2002.03.05
  • 발행 : 2002.06.25

초록

The problem of the elastic buckling of a cylindrical liquid-storage tank subject to horizontal earthquake loading is considered. An equivalent static loading is used to represent the dynamic effect. A theoretical solution based on the nonlinear Fl$\ddot{u}$gge shell equations is developed, and numerical results are found using the new differential quadrature method. A second solution is obtained using the finite element package ADINA. A major motivation of the study was to show that the new method can serve to verify finite element solutions for cylindrical shell buckling problems. For this purpose the paper concludes with a comparison of buckling results for a number of cases covering a wide range in tank geometry.

키워드

참고문헌

  1. ADINA User's Guide (1998), ADINA R & D. Inc.
  2. Bathe, K.J. (1996), Finite Element Procedures, Prentice Hall.
  3. Bert, C.W. and Malik, M. (1996), "Free vibration analysis of thin cylindrical shells by the differential quadrature method", ASME J. Press. Ves. Tech. 118, 1-12. https://doi.org/10.1115/1.2842156
  4. Cho, J.R., Song, J.M. and Lee, J.K. (1999), "Numerical analysis fo the seismic response of cylindrical liquidstorage tanks", Proc. 1st Int. Conf. on Advances in Struct. Eng. and Mech., Seoul, 2, 1653-1658.
  5. Flugge, W. (1973), Stresses in Shells, 2nd Ed., Springer, Berlin.
  6. Ishida, K., Akiyama, H., Tazuke, H., Tazuke, H. and Chiba, T. (1999), "Nonlinear analysis of EFB phenomena of cylindrical storage tanks due to seismic loading", ASME PVP-394, 177-184.
  7. Malhotra, P.K. and Veletsos, A.S. (1994) "Uplifting response of unanchored liquid-storage tanks", J. Struct. Eng., ASCE 120, 3525-3547. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:12(3525)
  8. Mirfakhraei, P. (1999), "Application of the DQM to the buckling analysis of cylindrical shells and tanks", Ph. D. Thesis, U. of Ottawa.
  9. Mirfakharaei, P., Huang, D.W., Redekop, D. and Xu, B. (1996), "Storage tanks under seismic loading-a bibliography (1990-1995)", Proc. 4th ISME Conf., Shiraz, 4, 989-996.
  10. Mirfakhraei, P. and Redekop, D. (1998), "Buckling of circular cylindrical shells by the differential quadrature method", Int. J. Pres. Ves. and Piping 75, 347-353. https://doi.org/10.1016/S0308-0161(98)00032-5
  11. Mirfakhraei, P. and Redekop, D. (1999), "Buckling of liquid-storage tanks under earthquake loading using the DQM", Proc. lst Can. Conf. on Nonlinear Sol. Mech. (CanCNSM), Victoria, 2, 561-570.
  12. Yamaki, N. (1984), Elastic Stability of Circular Cylindrical Shells, North Holland.

피인용 문헌

  1. Blending Functions for Vibration Analysis of a Cylindrical Shell with an Oblique End vol.03, pp.03, 2003, https://doi.org/10.1142/S0219455403000987
  2. Buckling of axial compressed cylindrical shells with stepwise variable thickness vol.54, pp.1, 2015, https://doi.org/10.12989/sem.2015.54.1.087