Nonlinear vibration analysis of piezoelectric nanoelectromechanical resonators based on nonlocal elasticity theory

Nanoscale mass detection based on vibrating piezoelectric ultrathin films under thermo-electro-mechanical loads

“…After that, many researchers have used the nonlocal elasticity theory in order to take into consideration the effects of small scale on the bending, vibration and buckling of nanostructures including nanorods [13,14], carbon nanotubes [15][16][17], nanorings [18], graphene sheets [19][20][21][22][23][24][25][26][27], microtubules [28,29]. More recently, the nonlocal continuum models have been employed for the vibration of piezoelectric nanostructures including piezoelectric nanofilms [30][31][32] and nanowires [33]. Ke et al.…”

Nonlocal elasticity theory for graphene modeling and simulation: prospects and challenges

“…Li et al [78] utilized a global residual harmonic balance method to study the nonlinear vibration behavior of graphene/piezoelectric sandwich films under electrical loading. Asemi et al [79] derived the explicit expressions for the nonlinear frequencies when dealing with the nonlinear vibration problems of piezoelectric nanoelectromechanical resonators. The differential quadrature (DQ) method is employed by Ke et al [80] to conduct the nonlinear vibration simulation of the piezoelectric nanobeams based on the nonlocal theory.…”

Nonlinear analysis of forced vibration of nonlocal third-order shear deformable beam model of magneto–electro–thermo elastic nanobeams

“…They demonstrated that the natural frequencies of these structures are very sensitive to the electro-mechanical loadings and insensitive to the thermal loading. Asemi et al [44] by developing a nonlinear continuum model investigated the large amplitude vibration of nanoelectromechanical resonators using piezoelectric nanofilms under external electric voltage. On the basis of nonlocal Timoshenko beam theory along with von Kármán geometric nonlinearity, Liu et al [45] studied the buckling and postbuckling of size-dependent piezoelectric nanobeams under thermo-electro-mechanical loadings.…”