Studies of a new-style resonator to control electro-mechanical coupling bandgap of a locally resonant piezoelectric/elastic phononic crystal double-layer nonlocal nanobeam

• A model of locally resonant piezoelectric/elastic phononic crystal double-layer nanobeam is proposed. Band structures with nonlocal effects are calculated by plane wave expansion method. Symmetric and antisymmetric bands divided. Influences various parameters on band discussed. The paper proposed a (LR) (PC) periodically attached “spring-mass” resonator additional spring between upper lower nanobeams, as well horizontal mass foundation. Euler beam theory piezoelectricity coupled introduced to (PWE) method calculate the such different parameters. Numerical results further analysis demonstrate that all can be divided into symmetric ones. Adding springs play role in control respectively, which make wider gaps opened than corresponding single-layer nanobeam. Moreover, change electro-mechanical coupling fields applied effectively starting frequencies widths gaps, provide theoretical basis for active vibration. Effects geometric non-dimensional also All studies expected actively vibration propagation field nano system (NEMS).