Tuning of band gaps for a two-dimensional piezoelectric phononic crystal with a rectangular lattice

• 来源期刊: 力学学报(英文版)
• 年，卷（期）: 2009,（1）
• 页码范围: 65-71
• 页数: 7页
• 语种: 英文
• DOI: 10.1007/s10409-008-0191-9

摘要

In this paper, the elastic wave propagation in a two-dimensional piezoelectric phononic crystal is studied by considering the mechanic-electric coupling. The gener-alized eigenvalue equation is obtained by the relation of the mechanic and electric fields as well as the Bloch-Floquet the-orem. The band structures of both the in-plane and anti-plane modes are calculated for a rectangular lattice by the plane-wave expansion method. The effects of the lattice constant ratio and the piezoelectricity with different filling fractions are analyzed. The results show that the largest gap width is not always obtained for a square lattice. In some situations, a rectangular lattice may generate larger gaps. The band gap characteristics are influenced obviously by the piezoelectric-ity with the larger lattice constant ratios and the filling frac-tions.