title: Nonlinear membrane model for large amplitude vibration of single layer graphene sheets.
abstract: The nonlinear vibrational properties of single layer graphene sheets (SLGSs) are investigated using a membrane model. The nonlinear equation of motion is considered for the SLGSs by including the effects of stretching due to large amplitudes. The equation of motion is numerically solved utilizing the finite difference method for SLGSs with different initial and boundary conditions, sizes and pretensions. It is concluded that the nonlinear fundamental frequency of SLGSs increases by increasing the pretension and initial velocity. In addition, it is observed that an increase in the pretension weakens the effects of the initial velocity on the fundamental frequency, such that the fundamental frequency approximately becomes independent of the initial velocity. This is an important feature of the vibrating systems consisting of SLGSs which are used in the nano-electromechanical systems (NEMS), where resonators with a specific fundamental frequency and independent of the initial velocity are of interest.
authors.affiliation: Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran.
authors.forename: Jaber Rezaei
authors.initials: JR
authors.lastname: Mianroodi
authors.forename: Sina Amini
authors.initials: SA
authors.lastname: Niaki
authors.forename: Reza
authors.initials: R
authors.lastname: Naghdabadi
authors.forename: Mohsen
authors.initials: M
authors.lastname: Asghari