Το work with title Nonlinear time spectral analysis for a dynamic contact model with buckling for an elastic plate by Stavroulakis Georgios, A. D. Muradova is licensed under Creative Commons Attribution 4.0 International
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
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.