Nonlinear Time Spectral Analysis for a Dynamic Contact Model with Buckling for an Elastic Plate

Abstract:

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.

• Periodical: Key Engineering Materials (Volume 618)
• Pages: 227-239
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.618.227
• Online since: July 2014
• Authors: Aliki D. Muradova*, Georgios E. Stavroulakis
• Keywords: Buckling, Dynamic Contact Model, Elastic Plate, Nonlinear Elastic Foundation, Nonlinear Partial Differential Equations, Time Spectral Analysis

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