Free vibration and buckling characteristics of axially moving functionally graded material plate

Abstract：In order to understand the free vibration and buckling behavior of axially moving functionally graded thin plates, its motion equations were derived based on the composite thin plate theory.The Galerkin method was used to find the series solutions of the motion equations under different boundary conditions.The natural vibration frequency, critical buckling speed and critical buckling load were calculated.The effects of axial velocity, material component index, in-plane force and boundary conditions on the natural vibration frequency of axially moving functionally graded plates, critical buckling velocity and critical buckling load were analyzed by numerical examples.The results showed that the natural vibration frequency and the critical buckling velocity increased with increase of in-plane tension, but decreased with increase of in-plane pressure and material component index;the natural vibration frequency of the plates decreased with the increase of axial motion velocity, while the critical buckling load increased with the increase of axial motion velocity.Moreover, the boundary conditions also had a significant effect on the critical buckling velocity and critical buckling load of the plate.

Keyword：axially moving plate;functionally graded material;free vibration;buckling;