Buckling in Space and Time |
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Authors: | Giles Hunt |
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Institution: | (1) Centre for Nonlinear Mechanics, Department of Mechanical Engineering, University of Bath, Bath, BA2 7AY, U.K. |
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Abstract: | A personal overview of the buckling process is given, based on more than 30 years research experience. A fundamental distinction
is drawn between structures that tend to distribute their pattern of buckling over the entire available length, and those
that favour limiting it to a localized portion. Difficulties are compounded by the fact that localized solutions typically
are shadowed by distributed counterparts. The difference is found to depend primarily on the stability of the system at the
point of buckling. When an unstable localized form shows a tendency to restabilize, a pattern known as cellular buckling can
develop, taking place sequentially in both space and time. The paper focuses particularly on the buckling of the axially-compressed
cylindrical shell, and shows how the circumferential periodicity coupled with axial localization has special but hidden characteristics.
In particular, the circumferential wavenumber is picked at an early stage of buckling and remains locked, while localization
in the axial sense permits extensive change to the post-buckling shape. |
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Keywords: | localized buckling cellular buckling post-buckling structural geology homoclinic bifurcation heteroclinic bifurcation |
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