Abstract

Nowadays, the attention-seeking characteristics of graphene material used for making nano-resonator, in particular, the capability of atomic level sensing, have unlocked new dimensions to develop the bio/nano-sensing technologies. Graphene in pristine form is non-piezoelectric material. To stimulate piezoelectricity into grapheme, a point or line defect, adatoms or mechanical/thermal strain can be applied. Natural frequency is an important aspect of piezoelectric resonator. In the present work, lithium adatoms are introduced onto the surface of graphene monolayer nano-resonator. The present work deals with the different boundary conditions onto natural frequency of graphene nano-ribbon (GNR) resonator. Two boundary conditions including beam clamped at both ends and cantilevered are considered to illustrate the vibrational behaviour of mono-layer graphene nano-ribbon piezoelectric resonator. Due to size of nano-ribbon, Euler–Bernoulli beam theory is used to model the GNR.

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