The thermal effect on nonlinear oscillations of carbon nanotubes with arbitrary boundary conditions

A nonlocal plate model incorporating interatomic potentials for vibrations of graphene with arbitrary edge conditions

“…So, the transverse displacement is chosen as By the use of Eqs. (27) and (30), one can finally get the fundamental frequency relation as…”

“…The former which includes the methods such as molecular mechanics simulations, traditional molecular dynamics, tight-binding molecular dynamics and density functional theory [14][15][16][17][18][19][20] is limited to very small-sized nanostructures for being computationally expensive. The latter being scale free and not accounting for the size effects, is applicable to large-scale nanostructures [21][22][23][24][25][26][27][28][29][30]. Hence, an approach being capable of dealing with both the large-and small-scale systems while considering the scale effects and going to low computational expenses is needed.…”

Thermal effects on mass detection sensitivity of carbon nanotube resonators in nonlinear oscillation regime

“…This leads to thermal expansion and residual stress in devices, and affects device reliability. In recent years, studies on the thermal properties and the thermal effects of CNTs have been actively conducted [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. Such studies are important for future applications of CNTs.…”

Three dimensional vibration and bending analysis of carbon nanotubes embedded in elastic medium based on theory of elasticity

“…An excellent survey of the research work on the classical model of CNTs can be found in the work done by Gibson et al (2007). Recently, Ansari and his co-workers (Ansari, Hemmatnezhad, et al (2011), ) used various beam models to study the vibration and buckling of single-walled carbon nano-tubes (SWCNTs).…”