Dynamic analysis of non-uniform motion of mindlin plate subjected to a moving mass-spring-damper system using the MEM

Abstract

This study focuses on analyzing the dynamic behavior of Mindlin plates on a Pasternak foundation, particularly under the influence of a moving mass-spring-damper system with variable velocity. By applying the Reissner–Mindlin model in conjunction with the Moving Element Method (MEM), the plate is discretized into nine-node isoparametric quadrilateral elements, enabling a more accurate simulation of the complex working mechanisms of the structure.
A specialized computational program was developed in Matlab to simulate in detail the dynamic response of the Mindlin plate under the effects of the moving load system. The accuracy of the program was verified by comparing the results with published studies, affirming the reliability and efficiency of the proposed method. Additionally, the study extends to investigate the effects of key parameters such as mass, spring stiffness, damping coefficient, velocity of the moving load system, as well as foundation characteristics like thickness and stiffness, on the dynamic behavior of the Mindlin plate.
The findings not only elucidate the dynamic response mechanism of the plate but also provide a robust scientific foundation for the design and optimization of structures subjected to dynamic loads. Furthermore, the research delves into the roles of specific factors such as surface roughness amplitude and wavelength, offering deeper insights into their impact on the stability and load-bearing capacity of the Mindlin plate.