Article ID Journal Published Year Pages File Type
309060 Thin-Walled Structures 2014 14 Pages PDF
Abstract

•Proposes a generalized Ritz method that accounts for pre-buckling deformations and geometric non-linearity to find buckling load for cylindrical shells.•Accommodates in a single analytical framework entire range of boundary conditions: intermediate boundary conditions can be easily solved for.•The Ritz trial functions remain invariant: they do not have to be tailored to the boundary conditions.•The results using the proposed method show good match with nonlinear finite element solutions.

A generalized Ritz based approach that accounts for pre-buckling bending deformations as well as geometric non-linearity to find the buckling load for thin cylindrical shells under uniform axial compression is proposed. The approach accommodates within a unified framework, based on a shell and spring restraint system, the entire range of boundary conditions: ranging from free boundaries to compliant boundaries. The classical kinematic boundary conditions are recovered as limiting cases. The method involves choice of a single trial function that is invariant with respect to boundary conditions. The proposed approach is validated using existing analytical results, where available, and numerical solutions, otherwise.

Related Topics
Physical Sciences and Engineering Engineering Civil and Structural Engineering
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