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FROM:
Zbigniew Kolakowski (1) and Andrzej Teter (2)
(1) Department of Strength of Materials, K12, Lodz University of Technology, ul. Stefanowskiego 1/15, 94-024 Lodz, Poland
(2) Department of Applied Mechanics, Lublin University of Technology, ul. Nadbystrzycka 36, 20-618 Lublin, Poland
“Coupled static and dynamic buckling modeling of thin-walled structures in elastic range review of selected problems”, Acta Mechanica et Automatica, Vol. 10, No. 2, 2016, DOI: 10.1515/ama-2016-0023
ABSTRACT: A review of papers that investigate the static and dynamic coupled buckling and post-buckling behaviour of thin-walled structures is carried out. The problem of static coupled buckling is sufficiently well-recognized. The analysis of dynamic interactive buckling is limited in practice to columns, single plates and shells. The applications of finite element method (FEM) or/and analytical-numerical method (ANM) to solve interaction buckling problems are on-going. In Poland, the team of scientists from the Department of Strength of Materials, Lodz University of Technology and co-workers developed the analytical-numerical method. This method allows to determine static buckling stresses, natural frequencies, coefficients of the equation describing the post-buckling equilibrium path and dynamic response of the plate structure subjected to compression load and/or bending moment. Using the dynamic buckling criteria, it is possible to determine the dynamic critical load. They presented a lot of interesting results for problems of the static and dynamic coupled buckling of thin-walled plate structures with complex shapes of cross-sections, including an interaction of component plates. The most important advantage of presented analytical-numerical method is that it enables to describe all buckling modes and the post-buckling behaviours of thin-walled columns made of different materials. Thin isotropic, orthotropic or laminate structures were considered.
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