Dynamic analysis of plates resting on elastic foundation subjected to moving loads based on the first-order shear deformation theory

Abstract This paper investigates the time-dependent behavior of plates resting on a Pasternak elastic foundation affected by moving loads, employing the principles of the first-order shear deformation theory (FSDT). By limiting the analysis to first-order shear deformation, FSDT requires fewer degrees of freedom, making the analysis less resource-intensive compared to 3D models. The time-dependent responses of the plate on the elastic foundation were evaluated applying the Newmark direct integration method. For computational analysis, the finite element method with a serendipity (8-node) plate element is applied because the foundation equation requires second-order derivatives of the Laplace operator, and is implemented using MATLAB. Initial validation is conducted by comparing the current results with analytical approaches to demonstrate the dependability and precision of the approach. Following this, numerical examples are illustrated to illustrate the impact of various factors, covering changes in thickness and foundation properties, moving loads, velocities, and effect of boundary conditions on the behavior of the plate. The outcomes show reliable convergence, aligning well with existing research findings. These insights are applicable in numerous engineering applications involving plates on elastic foundations and provide benchmarks for future studies.