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Nonlinear time spectral analysis for a dynamic contact model with buckling for an elastic plate

Stavroulakis Georgios, A. D. Muradova

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URI: http://purl.tuc.gr/dl/dias/C055282F-08B9-4BFE-BE21-A59E9D46F7AE
Year 2014
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation A. D. Muradova, G. E. Stavroulakis, "Nonlinear time spectral analysis for a dynamic contact model with buckling for an elastic plate", Key Eng. Materials, vol. 618, pp. 227-239, Jul. 2014.doi: 10.4028/www.scientific.net/KEM.618.227 https://doi.org/ 10.4028/www.scientific.net/KEM.618.227
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Summary

In the present paper a dynamic nonlinear model with contact and buckling for an elasticplate is considered. The model consists of two coupled nonlinear hyperbolic type partial differentialequations. The plate is subjected to compressive and/or tensile moving loads on its edges. The foundationsare nonlinear elastic Winkler and Pasternak models. The initial-boundary value problems forthe model are solved with the use of the time spectral method for spatial discretization and after thediscretization the Newmark- time-stepping iterative scheme for the obtained system of nonlinear ordinarydifferential equations. The model is tested for the Winkler-type and shear Pasternak-type andas well for several values of the physical constants of the foundations.

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