Abstract
A nonlinear analysis for deformation and buckling of shallow spherical shells with a central circular opening is presented. The shell is under a vertical ring load at the opening and/or a uniformly distributed surface load. The method of least square collocation is used in the analysis. Examples for the degenerated case of annular plates and shallow spherical shells with a central opening under different loading conditions are presented. The results agree well with existing solutions, and the method used is effective and accurate resulting in steady convergent solutions according to the numerical examples. While the buckling load for clamped shallow spherical shells subjected to uniformly distributed surface load increases with the increase of the rise-to-thickness ratio, the buckling load decreases when the sehll is under a uniformly distributed ring load at the central opening.
Published Version
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