Structural Engineering and Mechanics

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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)
  • Published : 1997.11.25
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Abstract

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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References

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Cited by

  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