Dynamic Stability Analysis of Rectangular Mindlin Plate in Contact with Fluid under Passage of Oscillating Rigid Bodies

In this paper, the dynamic stability of a moderately thick rectangular plate floating on stationary fluid under the periodic passage of oscillating rigid bodies is studied. Each of the two ends of a rigid body is connected to a wheel through a suspension system. The fluid loading effect on the plate is modelled using the method of added mass. Using the assumed-mode method, the governing equations are derived based on the Mindlin plate theory. The Floquet theory is employed as a numerical method to obtain stable and unstable zones of the parameters plane. Considering the point moving object model, the effect of moving object modelling on the stability analysis results is also investigated. The results indicate that contact of the plate with the fluid, the plate boundary conditions, the plate’s thickness, the stiffness and damping of the suspension system, the mass ratio of the wheels to the whole rigid body, the rigid body’s length and the moving object modelling method are very effective in domains stability and instability of the system.