Resonant frequency tuning of nanobeams by piezoelectric nanowires under thermo-electro-magnetic field: a theoretical study

A piezoelectric nanowire is used to adjust the resonant frequencies of nanoscale beams in a magneto-thermal environment. For tuning purposes, an external electric voltage is applied to the piezoelectric nanowire. Eringen's non-local theory of elasticity is employed to capture length scale effects. Based on the Timoshenko beam theory in conjunction with the Pasternak model and non-local piezoelasticity, the scale-dependent partial differential equations of the smart nanoscale system are derived. An exact solution procedure is proposed for the frequency tuning of nanobeams with simply supported boundary conditions. Furthermore, the frequency response of the piezoelectric nanosystem with different boundary conditions is analysed with the help of the differential quadrature method as an efficient numerical approach. It is found that the thickness of the piezoelectric nanowire, the temperature change, the longitudinal magnetic field and the applied electric voltage can be exploited in a careful way in order to adjust the resonant frequency of nanobeams.