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Structural Engineering and Mechanics Volume 5, Number 6, November 1997 , pages 715-728 DOI: https://doi.org/10.12989/sem.1997.5.6.715 |
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Secondary buckling analysis of spherical caps |
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Kato S, Chiba Y, Mutoh I
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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. | ||
| Key Words | ||
| small finite deflection theory, secondary buckling, mode coupling | ||
| Address | ||
| Kato S, Toyohashi Univ Technol, Dept Civil & Architectural Engn, Aichi 441, Japan Toyohashi Univ Technol, Dept Civil & Architectural Engn, Aichi 441, Japan Hosei Univ, Dept Architecture, Coll Engn, Tokyo 184, Japan Gifu Natl Coll Technol, Dept Architecture, Gifu 50104, Japan | ||