Vibration analysis of embedded piezoelectric nanobeams under a moving nanopartice based on nonlocal piezoelasticiy theory

Nonlocal vibration of piezoelectric nanobeam under a moving nanoparticle is investigated in the present study based on Timoshenko beam model. The piezoelectric nanobeam is embedded in an enclosing elastic medium which is simulated by Pasternak foundation. The energy method and Hamilton’s principle are used to establish the equations of motion. The detailed parametric study is conducted, focusing on the combined effects of the nonlocal parameter, elastic medium coefficients, nanoparticle mass and external voltage on the frequency of piezoelectric nanobeam. The results depict that the imposed external voltage is an effective controlling parameter for vibration of the piezoelectric nanobeam. Also increase in the mass of attached nanoparticle gives rise to a decrease in the natural frequency. This study might be useful for the design and smart control of nano-devices.