Electro-Thermo-Mechanical Vibration Analysis of Embedded Single-Walled Boron Nitride Nanotubes Based on Nonlocal Third-Order Beam Theory

In this article, single-walled boron nitride nanotube (SWBNNT) vibration behavior is investigated based on nonlocal elasticity theory. The SWBNNT is analyzed as a nanobeam based on higher order shear deformation theory. Loading is composed of temperature change and axially external electric potential field. SWBNNT is embedded in a Winkler foundation. The governing equation and boundary conditions are derived by using the Hamilton principle. The analytical and differential transform (DT) methods are applied to determind natural frequency of the SWBNNT with different boundary conditions. The obtained results show good agreement with these cited in the literature. Also, comparison between the results of DT and analytical methods reveals the accuracy of the DT method. At the end, it is shown that temperature change, slenderness ratio, electric potential field, elastic foundation constant, and nonlocal parameters have a significant effect on natural frequency values.