In this paper, free vibration of axially moving symmetrically laminated plates subjected
to in-plan forces is analyzed using the element-free Galerkin method. This category includes
symmetric cross-ply and angle-ply laminates and anisotropic plates. The governing differential
equation for a moving plate is numerically solved using the Galerkin method. The shape functions
are constructed using the moving least squares (MLS) approximation and the essential boundary
conditions are introduced into the formulation through the use of the Lagrange multiplier method
and the orthogonal transformation techniques. The effect of skew roller and intermediate supports
on the natural frequency of plate are examined.