Multi-Layer Moving Plate Method for the Dynamic Model of Two-Layer Plates Subjected to Moving and Thermal Loads

In this paper, a computationally efficient numerical technique capable of modeling the dynamic behavior of a two-layer plate resting on a Pasternak foundation subjected to moving loads and temperature has been established. It is assumed that the temperature distribution remains uniform on the surfaces while exhibiting linear variation across the thickness of the plate. The total strain from the mechanical loads and the temperature of the two-layer plate is determined by the principle of superposition. The governing equation for the two-layer plate's motion is initially formulated through the principle of virtual work and subsequently discretized with the Multi-Layer Moving Plate Method (MMPM). After that, the global motion equation for the two-layer plate is derived through the assembly of all constituents of the two-layer plate elements, and finally, the system equation is resolved via Newmark's β numerical technique. After the proposed model is verified with available benchmark solutions, the influence of temperature on the dynamic behavior of the two-layer plate is investigated. The displacement of the two-layer plate was found to be temperature-dependent.