The dynamics of symmetric post-buckling |
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Authors: | Lawrence N Virgin |
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Affiliation: | Department of Civil Engineering, University College London, Gower Street, London WCIE 6BT, U.K. |
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Abstract: | This work examines the relationship between natural frequency and compressive load for a conservative elastic mechanical system characterised by symmetric buckling. Application of some general theory shows that for a perfect system, exhibiting a stable-symmetric point of bifurcation, the initial post-buckling curve of compressive load against the square of the natural frequency is linear and has a slope of
that of the pre-buckling curve. Simple link models and discretised continuous systems are analysed to illustrate the results of the general theory. These models are also used to show that the initial post-buckling curve is independent of axial inertia. The influence of initial imperfections is then considered and compared with experimental evidence. |
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