Influences of surface and interface energies on the nonlinear vibration of laminated nanoscale plates

This paper studies the vibration behaviours of laminated plates with consideration of the influences of surface and interface energies. Geometric nonlinearity is taken into account in this model to obtain the results of large amplitude vibrations. Approximate closed-form solutions for simply supported plates, clamped plates and clamped circular plates are provided. Numerical results show that the surface/interface effect can affect the dynamic behaviours of laminated plates at nanometer scale. This is especially for nonlinear (large-amplitude) vibration. In addition, the ratio of the thickness to length of the plate, the external load and number of layers also affect the surface/interface effects for large amplitude vibration. This study is helpful for designing and examining the non-linear dynamic behaviour of laminated nanoplates and nanoscale devices.