Small Scale Effect on Nonlinear Vibration of Embedded SWBNNTs Based on Euler–Bernoulli Theory Using DQ Method

چکیده مقاله

In this study, effects of nonlocal parameter and von Kàrmàn geometric nonlinearity on the vibration behavior of a single-walled boron nitride nanotube (SWBNNT) is investigated based on the nonlocal piezoelasticity theory [1]. The SWBNNT is considered as a nanobeam within the framework of the Euler–Bernoulli beam (EBB). According to Figure 1, loading is composed of a temperature change and an imposed axially electric potential throughout the SWBNNT [2]. The interactions between the SWBNNT and its surrounding elastic medium are simulated by Winkler and Pasternak foundation models as follows [3]: