In some engineering applications like moving ships the axially moving FG structures have to be investigated. In this paper, the nonlinear response and stability of an axially moving porous FGM plate under a local concentrated load are studied. The plate is made of materials whose properties are assumed to be graded in the thickness direction. To take the effect of porosity into account, the modified rule of mixture is chosen to calculate the effective material properties. The kinetic dynamic relaxation method along with the implicit Newmark integration are used to solve the nonlinear dynamic equations. Finally, the effect of material gradient index, porosity volume fraction and boundary conditions on dynamic deflection and instability of plate are discussed.

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