Modeling and dynamic analysis of multi-layer plates supported by Pasternak foundation under thermo-mechanical loads using moving element method

This article aims to present a numerical paradigm for modeling and analyzing the dynamic responses of the multi-layer plate structure resting on the Pasternak foundation under thermo-mechanical loads by using the multi-layer moving plate method (MMPM), in which, two consecutive plates connected by a middle viscoelastic layer are simulated by the Mindlin plate theory. The governing equations of motion of the multi-layer plate supported by a Pasternak foundation under a moving load with the linear temperature distribution along the plate thickness are generally established by the virtual work principle. Then, a moving coordinate system attached to the moving load is employed to discretize the structural domain that surrounds loadings. This strategy not only helps to dramatically lessen the number of finite elements but also to completely curtail the updating procedure of the time-varying and spatially varying loads. Finally, the dynamic behavior of the structural system is obtained by the Newmark-beta approach. Outcomes gained from the proposed model are validated by comparing with previously published works. After that, the dynamic analysis of multi-layered connected plates is studied by changing the temperature surrounding the structure. Further, this study also considers the dynamic behavior of double-plate structure subjected to moving harmonic load and resting on an in-homogeneous foundation.