Free vibration analysis of functionally graded plates with multiple circular and non-circular cutouts

Cutouts are inevitable in structures due to practical consideration.In order to investigate the free vibration of functionally graded plates with multiple circular and non-circular cutouts,finite element method is used.The volume fraction of the material constituents is assumed to follow a simple power law distribution.The parameters considered in this paper are as follows:cutout size,cutout location,number of cutouts and different boundary conditions.It should be mentioned that free vibration for FG plates(such as rectangular?skew?trapezoidal?circular plates) with multiple cutouts has not been studied yet and hence the results out coming from this paper may be used as bench marks for future works.