Vibration analysis of graphene sheets using membrane model

In this present study vibration analysis of graphene sheets have been carried out by modeling as membrane model. membranes are thin plates without the stiffness against bending and buckling. they carry lateral forces with axial and central shear forces. this specification, its extreme thinness and negligible moment capacity of membranes can be likened to the tense cable network. graphene sheets are modeled in square and rectangular geometry. the resulting equation have been solved both analytically and the method of discrete singular convolution. the firstly obtained membrane results have been compared with results obtained by plate models in the literature. results are given in graphics and tables.