Structural Engineering and Mechanics

  • 제5권6호
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  • Pages.715-728
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  • 1997
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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Secondary buckling analysis of spherical caps

  • Kato, Shiro (Department of Architecture and Civil Engineering, Toyohashi University of Technology) ;
  • Chiba, Yoshinao (Department of Architecture, College of Engineering, Hosei University) ;
  • Mutoh, Itaru (Department of Architecture, Gifu National College of Technology)
  • 발행 : 1997.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

The aim of this paper is to investigate the secondary buckling behaviour and mode-coupling of spherical caps under uniformly external pressure. The analysis makes use of a rotational finite shell element on the basis of strain-displacement relations according to Koiter's shell theory (Small Finite Deflections). The post-buckling behaviours after a bifurcation point are analyzed precisely by considering multi-mode coupling between several higher order harmonic wave numbers: and on the way of post-buckling path the positive definiteness of incremental stiffness matrix of uncoupled modes is examined step by step. The secondary buckling point that has zero eigen-value of incremental stiffness matrix and the corresponding secondary mode are obtained, moreover, the secondary post-buckling path is traced.

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참고문헌

  1. Bushnell, D. (1985), Computerized Buckling Analysis of Shells, Martinus Nijhoff Publishers, Dordrecht, Netherlands.
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  3. Chiba, Y., Kato, S. and Mutoh, I. (1993), "Various expressions for elastic buckling loads of spherical caps", Proc. of the SEIKEN-IASS Symposium, Tokyo, 129-136.
  4. Koiter, W.T. (1966), "On the nonlinear theory of thin elastic shells", Proc. Koninkl. Ned. Akad. van Wetenschappen, Amsterdam, Series B, 69, 1-54.
  5. Kato, S., Mutoh, I. and Chiba, Y. (1996), "Alternative lower bounds analysis of elastic thin shells of revolution", Engineering Computations, International Journal for Computer-Aided Engineering & Software, 13(2/3/4), 41-75. https://doi.org/10.1108/02644409610114468
  6. Ramm, E. (1982), "The riks/wempner approach-an extension of the displacement control method in nonlinear analysis", Non-linear Computational Mechanics, ed. by E. Hinton, et al., Pineridge Press, 63-86.
  7. Crisfield, M.A. (1991), Non-linear Finite Element Analysis of Solids and Structures, 1, John Wiley & Sons.
  8. Huang, N.C. (1964), "Unsymmetrical buckling of thin shallow spherical shells", J. of Appl. Mech. ASME, 31, 447-457. https://doi.org/10.1115/1.3629662
  9. Kato, S., Chiba, Y. and Mutoh, I. (1996), "Secondary buckling analysis of spherical caps", Proc. of the Third Asian-Pacific Conference on Computational Mechanics(APCOM), Seoul, 1, 485-490.

피인용 문헌

  1. Postbuckling analysis of elastic shells of revolution considering mode switching and interaction vol.43, pp.3-4, 2006, https://doi.org/10.1016/j.ijsolstr.2005.06.060