Structural Engineering and Mechanics

  • 제19권1호
  • /
  • Pages.43-53
  • /
  • 2005
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Stability of a cylindrical shell with an oblique end

  • Hu, X.J. (Department of Mechanical Engineering, University of Ottawa) ;
  • Redekop, D. (Department of Mechanical Engineering, University of Ottawa)
  • 투고 : 2003.12.04
  • 심사 : 2004.08.24
  • 발행 : 2005.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

The linearized buckling problem is considered for an isotropic clamped-clamped cylindrical shell with an oblique end. A theoretical solution based on the Budiansky shell theory is developed, and numerical results are determined using the differential quadrature method. In formulating the solutions, the surface of the shell is developed onto a plane, and the resulting irregular domain is then mapped, using blending functions, onto a square parent domain. The analysis is carried out in the parent domain. Convergence, validation, and parametric studies are conducted for a uniform external pressure loading. Results determined are compared with finite element results. The paper ends with an appropriate set of conclusions.

키워드

참고문헌

  1. ADINA (2002), Verification Manual, ADINA R & D Inc., Watertown, MA
  2. Bert, C.W.and Malik, M. (1996), 'Free vibration analysis of thin cylindrical shells by the differential quadrature method', J. of Pressure Vessels Technology, 118, 1-12 https://doi.org/10.1115/1.2842156
  3. Budiansky, B. (1968), 'Notes on nonlinear shell theory', J. Appl. Mech., 40, 393-401
  4. Chen, C.-N. (1999), 'The development of irregular elements for differential quadrature element method steady-state heat conduction analysis', Comput. Meth. Appl. Mech. Eng., 170, 1-14 https://doi.org/10.1016/S0045-7825(98)00185-6
  5. Chen, W.L., Striz, AG. and Bert, C.W (2000), 'High-accuracy plane stress and plate elements in the quadrature element method', Int. J. Solids Struct., 37, 627-644 https://doi.org/10.1016/S0020-7683(99)00028-1
  6. Gill, S.S. (1970), The Stress Analysis of Pressure Vessels and Pressure Vessel Components, Pergamon, New York
  7. Hu, X.J. and Redekop, D. (2004), 'Blending functions for vibration analysis of a cylindrical shell with an oblique end', Structural Stability and Dynamics, 3, 405-418
  8. Hu, X.J. (2003), 'Stability and vibration of a cylindrical shell with an oblique end', M. Sc. Thesis, U. of Ottawa.
  9. Malik, M. and Bert, C.W. (1996), 'Vibration analysis of plates with curvilinear quadrilateral planforms by DQM using blending functions', J. Sound Vib., 230, 949-954 https://doi.org/10.1006/jsvi.1999.2584
  10. Malik, M. and Bert, C.W. (1996), 'Vibration analysis of plates with curvilinear quadrilateral planforms by DQM using blending functions', J. Sound Vib., 230, 949-954 https://doi.org/10.1006/jsvi.1999.2584
  11. Mirfakhraei, P. and Redekop, D. (1998), 'Buckling of circular cylindrical shells by the differential quadrature method', Int. J. of Pressure Vessels and Piping, 75, 347-353 https://doi.org/10.1016/S0308-0161(98)00032-5
  12. Ng, T.Y. and Lam, K.Y. (1999), 'Effects of elastic foundation on the dynamic stability of cylindrical shells', Struct. Eng. Mech., An Int. J., 8(2), 193-205 https://doi.org/10.12989/sem.1999.8.2.193
  13. Shu, C, Chen, W. and Du, H. (2000), 'Free vibration analysis of curvilinear quadrilateral plates by the differential quadrature method', J. of Computational Physics, 163, 452-466 https://doi.org/10.1006/jcph.2000.6576
  14. Shu, C. (2000), Differential Quadrature and its Application in Engineering, Springer, Berlin
  15. Sobieszczanski, J. (1970), 'Strength of a pipe mitred bend', J. of Engineering for Industry, 92, 767-773 https://doi.org/10.1115/1.3427844
  16. Vodenitcharova, T. and Ansourian, P. (1996), 'Buckling of circular cylindrical shells subject to uniform lateral pressure', Eng. Struct., 18,604-614 https://doi.org/10.1016/0141-0296(95)00174-3
  17. Wang, X.W., Wang, Y.L. and Chen, R.B. (1998), 'Static and free vibrational analysis of rectangular plates by the differential quadrature element method', Communications in Numerical Methods in Engineering, 14, 1133-1141 https://doi.org/10.1002/(SICI)1099-0887(199812)14:12<1133::AID-CNM213>3.0.CO;2-Q