In this paper, free vibration, forced vibration, resonance and stress wave propagation behavior in
nanocomposite plates reinforced by wavy carbon nanotube (CNT) are studied by a mesh-free method based on first
order shear deformation theory (FSDT). The plates are resting on Winkler-Pasternak elastic foundation and subjected
to periodic or impact loading. The distributions of CNTs are considered functionally graded (FG) or uniform along
the thickness and their mechanical properties are estimated by an extended rule of mixture. In the mesh-free analysis,
moving least squares (MLS) shape functions are used for approximation of displacement field in the weak form of
motion equation and the transformation method is used for imposition of essential boundary conditions. Effects of
CNT distribution, volume fraction, aspect ratio and waviness, and also effects of elastic foundation coefficients, plate
thickness and time depended loading are examined on the vibrational and stresses wave propagation responses of the
nanocomposite plates reinforced by wavy CNT.