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Approximate bifurcation load of short thin-walled laminate plate structures with imperfection
Author(s) -
Andrzej Teter,
Zbigniew Kołakowski,
Wojciech Smagowski,
H. Dębski
Publication year - 2019
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.177
H-Index - 75
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.5092005
Subject(s) - buckling , bifurcation , structural engineering , critical load , materials science , finite element method , eigenvalues and eigenvectors , inflection point , mathematics , nonlinear system , geometry , composite material , physics , engineering , quantum mechanics
The bifurcation buckling load can be determine solving a linear eigenproblem of buckling. If the structure is not perfect, the effect of bifurcation doesn’t occur. So, how to estimate a value of the lowest buckling load of the real structure? A methodology for determination of the lowest buckling load of a real structure with initial imperfection using a post-buckling path is presented. The investigation is performed for a Z-column made of carbon-epoxy laminate. The amplitude of initial imperfection is small less than half of the walls thickness. The column is simply supported on both ends. All calculations are performed by the finite element method and Koiter’s method. A plate model of the thin-walled structure has been applied. First, an eigenvalue buckling problem is solved to determine bifurcation loads. Next, post-buckling equilibrium paths for the plate structures are determined to calculate the lowest approximate bifurcation loads by the P-w and P-w2 methods, the inflection point method and the Koi...

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