Vibration properties of piezoelectric square lattice structures

• Band-gap properties of piezoelectric square lattices are studied by the SEM.
• SEM can obtain accurate results and avoid pass- and stop-band confusions.
• Piezoelectric lattices present different functions in pass- and stop-bands.
• Thicker piezoceramic layers affect energy harvesting and vibration isolation.

This work is devoted to study the dynamic problems of periodic piezoelectric structures by using the spectral element method (SEM). The dynamic stiffness matrix of the piezoelectric square lattice is formulated by this method. Highly accurate frequency-domain solutions of the lattices with and without piezoelectric beams are obtained. Band gap properties of the piezoelectric square lattices are investigated and the influences of the different contents of piezoceramic layers are analyzed. The behaviors of the waveguide due to material defects are demonstrated. Lattice structures with different central and peripheral parts are designed and their unique dynamic characteristics are also analyzed.