The Dynamic Response Of Orthotropic Sandwich Panel

Sandwich panels have been successfully used for many years in marine, mechanical and civil engineering applications, especially in the floating bridge and very large floating structure. This is due to the attendant high stiffness and high strength to weight ratios of sandwich systems. At present, to solve the free and forced vibration response of Sandwich panel, engineers usually use finite element method. But this method as we know is much complex and not fit for the first design. In the theory field of sandwich panel, there is still much work to do to obtain the dynamic response, especially caused by the moving mass.This paper is just for the need of solving the vibration response of sandwich panel. Here a closed-form solution is derived.Despite the complexity, the dynamic flexural behavior of a 3-D, thin-walled sandwich panel may be represented by the response of an equivalent two-dimensional (2-D), homogeneous, orthotropic, thick-plate continuum. Then combine the differential control equations of the orthotropic panel, and Hamilton's principle, the natural frequencies are obtained. The Libration Model Addition solution is used for the dynamic response caused by the concentrated sinusoidal load and uniformly distributed sinusoidal load. There is also derived a new closed-form solution for the dynamic response caused by the moving mass. And it contains the effect caused by the relatively motion of moving object and sandwich panel. The transverse shear and moment of inertia are also taking into account.