Linear and non‐linear problems of plate dynamics

    Petras Baradokas Info
    Edvard Michnevic Info
    Leonidas Syrus Info
DOI: https://doi.org/10.3846/16487788.2007.9635971

Abstract

This paper presents a comparative analysis of linear and non‐linear problems of plate dynamics. By expressing the internal friction coefficient of the material by power polynomial γ= γ0 + γ1ϵ0 + γ2ϵ0 2+…, we assume γ= γ0 = const for a linear problem. When at least two polynomial terms are taken, a non‐linear problem is obtained. The calculations of resonance amplitudes of a rectangular plate yielded 3 per cent error: a linear problem yields a higher resonance amplitude. Using the Ritz method and the theory of complex numbers made the calculations. Similar methods of calculation can be used in solving the dynamic problems of thin‐walled vehicle structures.

First published online: 14 Oct 2010

Keywords:

plates, linear analysis, nonlinear analysis

How to Cite

Baradokas, P., Michnevic, E., & Syrus, L. (2007). Linear and non‐linear problems of plate dynamics. Aviation, 11(4), 9-13. https://doi.org/10.3846/16487788.2007.9635971

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December 31, 2007
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2007-12-31

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How to Cite

Baradokas, P., Michnevic, E., & Syrus, L. (2007). Linear and non‐linear problems of plate dynamics. Aviation, 11(4), 9-13. https://doi.org/10.3846/16487788.2007.9635971

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