Nonlocal piezoelastic surface effect on the vibration of visco-Pasternak coupled boron nitride nanotube system under a moving nanoparticle

In this article, the nonlocal longitudinal and transverse vibrations of coupled boron nitride nanotube (BNNT) system under a moving nanoparticle using piezoelastic theory and surface stress based on Euler–Bernoulli beam are developed. BNNTs are coupled by visco-Pasternak medium and single-walled zigzag structure BNNT is selected in this study. Hamilton's principle is employed to derive the corresponding higher order equations of motion for both nanotubes. The detailed parametric study is conducted, focusing on the remarkable effects of the small scale parameter, aspect ratio, surface stress and visco-Pasternak coefficients on the vibration behavior of the coupled BNNT system. Also it is demonstrated that the normalized dynamic deflections obtained by using the classical beam theory are smaller than those obtained by the nonlocal beam theory. The influence of the smart controller is proved on the nondimensional fundamental longitudinal frequency. The result of this study can be useful to manufacture of smart microelectromechanical system and nanoelectromechanical system in advanced biomechanics applications with electric field as a parametric controller. - Highlights: • Vibration of coupled boron nitride nanotube system is studied. • Boron nitride nanotubes are coupled by a visco-Pasternak medium. • Single-walled zigzag boron nitride nanotube structure is considered. • The applied electric potential effect on the longitudinal vibration is studied. • The results may be useful to design of micro/nanoelectromechanical systems