The size-dependent analysis of multilayered microbridge systems under a moving load/mass based on the modified couple stress theory

In this study, the dynamical behavior of mutlilayered microbeam systems with respect to a moving load/ mass is investigated. The Winkler elastic foundation beam is used to model the coupling between layers and small-scale effects are modeled by modified couple stress theory. Equations of motion are achieved using Hamilton's principle and the solution process is proposed for a different number of layers. For double-and three-layered microbridge systems, an analytical solution is presented using Laplace transform and moreover, for higher-layered MMBS, a state space method is employed. A comprehensive parametric study is presented to clarify the effects of various parameters such as small-scale effect, coupling, the moving velocity, number of layers, etc. It is shown that material variation and scale effects changes the behavior of microbridge systems and have a significant effect on the dynamic deformation under a moving nanoparticle which could be used in understanding and designing more efficient nanostructures. Accordingly, with the brand new discussions on moving atoms, molecules, cells, nanocars, nanotrims, point loads on different nanosctructures using scanning tunneling microscopes (STM) and atomic force microscopes (AFM), this study could be a step forward in understanding, predicting and controlling such kind of behaviors.