Analysis of free and forced vibration of FGM rectangular floating plates (in contact with fluid) using the theory of Mindlin

Vibrations of relatively thick rectangular flat plates with constant thickness in contact with fluid are of particular importance to construction of power plants,airports,ships in water,etc. in this study,free and forced vibrations of plates known as fgm with four different classical supports under transverse loading were studied. in this study,for rectangular plates with two parallel edges on simply support,vibration characteristic equations to obtain the natural frequencies are obtained using the exact solution which is used for detailed analysis of forced vibration. then,numerical results of free vibration and effect of different geometric parameters like plate length to width,plate thickness to width,fluid height,fluid density,and so on,on parameters of free vibration are analyzed. at the end,using mode shape expansion method,the equations governing the behavior of forced vibration in relatively thick rectangular plate are obtained and after validating the obtained accurate answer,different parameters on behavior of plate on behavior of plate under dynamic load are investigated.