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Unit model of an example of a periodic structure

FROM:
Xin Ning and Sergio Pellegrino (Caltech), “Bloch wave buckling analysis of axially loaded periodic cylindrical shells”, Computers & Structures, Vol. 177, pp 114-125, 2016, http://dx.doi.org/10.1016/j.compstruc.2016.09.006

ABSTRACT: This paper presents an efficient computational method for predicting the onset of buckling of axially loaded, corrugated or stiffened cylindrical shells. This method is a modification of the Bloch wave method which builds on the stiffness matrix method. A numerical method and an efficient algorithm have been developed to implement the proposed method in the commercial finite element package Abaqus. Numerical examples have shown that, compared to the nonlinear buckling analyses based on detailed full finite element models, the proposed method can obtain highly accurate buckling loads and buckling modes and can achieve very significant reductions in computational time.

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