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A model to evaluate dynamic stability of imperfection sensitive shells

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Abstract

The paper deals with the perturbation energy concept and its application to stability of imperfection sensitive structures under time-dependent loads. The evaluation of the stability is based on energy norms, which may be used for investigation of safety against buckling. Starting from a stable state of equilibrium the presented procedure allows to decide whether the structure stays for a certain load history within critical bounds, which separate the motion round the prebuckling state from a motion in the postbuckling region. The stability is proved by comparing the critical energy calculated by a static analysis and the load induced energy. Applications to a truss and a spherical shell illustrate the variety of the phenomena in dynamic buckling behaviour of elastic structures in case of impulsive loading and the accuracy of the proposed method.

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Authors and Affiliations

  1. Institut für Statik, Technische Universität Braunschweig, Beethovenstr. 51, D–38106, Braunschweig, Germany

    D. Dinkler & J. Pontow

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  1. D. Dinkler
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  2. J. Pontow
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Correspondence to D. Dinkler.

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Dinkler, D., Pontow, J. A model to evaluate dynamic stability of imperfection sensitive shells. Comput Mech 37, 523–529 (2006). https://doi.org/10.1007/s00466-005-0729-7

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  • DOI: https://doi.org/10.1007/s00466-005-0729-7

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