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Dynamic stability of three-layered annular plates with wavy forms of buckling

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Abstract

The solution to the dynamic stability problem of the three-layered, annular plate with wavy, asymmetric forms of buckling is presented in this paper. The geometric nonlinearity of plate subjected to the linear lateral load increasing in time is considered. The approximate, finite difference method is used in the numeric solution to the formulated stability problem. The critical parameters characterizing the loss of plate stability and plate supercritical behavior depending on the material, geometrical and loading parameters are evaluated. The results of the critical loads of plates with asymmetric forms of critical deformation are analyzed in detail. The significant qualitative and quantitative differences of results obtained for plates with axisymmetric and asymmetric buckling form confirm the rightness of the analysis of the stability plate problem for the general solution without the limitation to the observation of the regular, axially symmetrical forms of deformation only.

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  1. Faculty of Mechanical Engineering and Computer Science, University of Bielsko-Biala, Bielsko-Biala, Poland

    Dorota Pawlus

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  1. Dorota Pawlus
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Correspondence to Dorota Pawlus.

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Pawlus, D. Dynamic stability of three-layered annular plates with wavy forms of buckling. Acta Mech 216, 123–138 (2011). https://doi.org/10.1007/s00707-010-0352-3

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  • DOI: https://doi.org/10.1007/s00707-010-0352-3

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