Nonlinear vibration analysis of the functionally graded sandwich plate under blast loading

The sandwich structure with functionally graded metal-ceramic materials as core can provide more choice for the protection structure to explosive impact. In this paper, the nonlinear vibration of the functionally graded metal-ceramic sandwich plate under blast loading is studied by analytical and numerical methods. An analytical model is constructed to explore the nonlinear dynamic response of sandwich plate, combining Hamilton’s principle with first order shear deformation theory. Numerical calculations are performed. The analytical results are coincident with finite element results. The effects of damping, duration of explosive pulse, volume fraction index and attenuation parameter on the nonlinear dynamic response are discussed. It is shown that damping has a noticeable effect on the nonlinear dynamic behavior of sandwich plate. With the increase of explosive pulse duration and volume fraction index to some extent, the center deflection of sandwich plate increases.