Dynamic analysis of embedded PVDF nanoplate subjected to a moving nanoparticle on an arbitrary elliptical path

In the present study, dynamic qualitative analysis and vibration response of an embedded poly-vinylidene fluoride (PVDF) nanoplate under a moving nanoparticle on an arbitrary elliptical path are investigated. The Coulomb friction model is applied to calculate the work done by the moving nanoparticle. The surrounding elastic medium is simulated by Pasternak foundation. The PVDF nanoplate is subjected to an applied voltage in the thickness direction which operates in control of nanoplate vibration. Based on the classical plate and Eringen's nonlocal theories, energy method and Hamilton's principle, the coupled motion equations are derived. Based on Galerkin method, the closed-form solutions for the frequency and dynamic deflection of the nanoplate are calculated. A detailed parametric study is conducted to elucidate the influences of the nonlocal parameter, elastic medium, nanoplate length, mode number, external electric voltage, angular velocity, mass and location of moving nanoparticle on the vibration smart control of the PVDF nanoplate. The results depict that the imposed external voltage, angular velocity, mass and location of moving nanoparticle are effective controlling parameters for vibration smart control of the PVDF nanoplate. Obtained results are useful for the design of smart nanoplates as nano-electro-mechanical mass sensors.