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A numerical analysis of the stability of the shallow spherical shell reinforced with ribs along the contour, using varitional-difference method

Abstract

A numerical analysis of the stability of the shallow spherical shell reinforced with ribs along the contour, using varitional-difference method

Gelyukh P.A., Pashkov A.V., Ivanov S.A.

Incoming article date: 20.03.2023

The article contains an analysis of the shallow elastic spherical shell on a rectangular plan, reinforced with ribs along its contour, under the uniformly distributed load. The problem is solved numerically with the variational-difference method, considering the geometric nonlineaity and the shear deformations of the shell and the ribs. As a result, the dependencies of the critical load on the shell stiffness and the ribs stiffness are obtained.

Keywords: shallow spherical shell, ribbed shell, stability, bending stiffness, geometrical nonlinearity, variational-difference method, critical load