Nonlinear deformations of spherical panels subjected to transversal load action

Nonlinear behaviour of flexible shallow rectangular spherical panels subjected to a uniformly distributed transversal load is analysed. Detection of bifurcation points and construction of bifurcation branches on a ‘load–deflection’ characteristic are mainly addressed. The proposed algorithm is based...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2005-07, Vol.194 (27), p.3108-3126
Main Authors: Krysko, V.A., Awrejcewicz, J., Komarov, S.A.
Format: Article
Language:English
Subjects:
Bifurcation
Branching points
Spherical panels
Symmetric and unsymmetric solutions
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Summary:Nonlinear behaviour of flexible shallow rectangular spherical panels subjected to a uniformly distributed transversal load is analysed. Detection of bifurcation points and construction of bifurcation branches on a ‘load–deflection’ characteristic are mainly addressed. The proposed algorithm is based on a set-up method. Geometrical parameters of shallow shells bifurcations are estimated numerically, and an evolution of bifurcation diagrams vs geometrical parameters k x , k y is traced. An increase of geometrical parameters yields an increase of the set of solutions. Besides symmetrical ones, unsymmetrical solutions are detected, illustrated, and discussed as well.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2004.08.005