Nonlinear vibration analysis and smart control of NB elastically bonded PNB via strain gradient theory

This paper is concerned with the smart nonlinear vibration control of a nanobeam (NB) using couple piezoelectric nanobeam (PNB). The NB and PNB are considered to be coupled by an enclosing elastic medium which is simulated by Pasternak foundation. The PNB is subjected to an applied voltage in thickness direction which operates in control of vibration behaviors of NB. In order to satisfy the Maxwell equation, electric potential distribution is assumed as a combination of a half-cosine and linear variation. Adopting strain gradient theory, the governing equations are derived based on energy method and Hamilton’s principle. The differential quadrature method (DQM) is applied to obtain the nonlinear frequency of NB for clamed-clamped mechanical boundary condition. A detailed parametric study is conducted to elucidate the effects of the small scale parameter, temperature change, external applied voltage and length of the NB on the vibration smart control of the NB. Results reveal that the dimensionless frequencyof NB is decreased by increasing the external electric voltage.

کلیدواژه ها:

Smart control ، Nonlinear vibration ، Strain gradient theory ، Coupled system ، Piezoelectric nanobeam