Abstract
The vibration behavior of piezoelectric microbeams is studied on the basis of the modified couple stress theory. The governing equations of motion and boundary conditions for the Euler-Bernoulli and Timoshenko beam models are derived using Hamilton’s principle. By the exact solution of the governing equations, an expression for natural frequencies of microbeams with simply supported boundary conditions is obtained. Numerical results for both beam models are presented and the effects of piezoelectricity and length scale parameter are illustrated. It is found that the influences of piezoelectricity and size effects are more prominent when the length of microbeams decreases. A comparison between two beam models also reveals that the Euler-Bernoulli beam model tends to overestimate the natural frequencies of microbeams as compared to its Timoshenko counterpart.
Highlights
Microbeams in sensors, actuators, and micro-/nanoelectromechanical systems are widely used
Examples can be found in vibration shock sensors [1], electrostatically excited microactuators [2, 3], resonant testing method, and atomic force microscope (AFM) [4, 5]
This paper presents the vibrational analysis of piezoelectric microbeams based on the modified couple stress theory
Summary
Microbeams in sensors, actuators, and micro-/nanoelectromechanical systems are widely used. Asghari et al [24] presented a nonlinear Timoshenko beam model based on the modified couple stress theory and determined the nonlinear sizedependent static and vibration behavior. Utilizing the modified couple stress Euler-Bernoulli beam theory, Wang et al [28] analyzed the nonlinear free vibration behavior of microbeams. They concluded that the nonlinear vibration frequency obtained by their model is higher than that predicted by the classical continuum theory. The effects of surface stresses on the vibration and buckling of piezoelectric nanowires were analyzed by Wang and Feng [31] by using the Euler-Bernoulli beam model. The obtained natural frequencies are normalized by using the natural frequency of classical Euler-Bernoulli beam model and are used to illustrate the influences of piezoelectricity and size effects on the vibrational behavior of piezoelectric microbeams
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
