In this paper, a piezoelectric phononic crystal beam at the nanoscale has been mechanically modeled by using the surface piezoelectric theory. The band gap has been calculated by the plane wave expansion method and the band gap structure picture has been analyzed. The influence of electromechanical coupling effects, surface effects and geometry on the band gap properties are discussed separately. This study contributes positively to the design and active control of nanoelectromechanical systems.
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