Wave localization in randomly disordered periodic piezoelectric rods

作者：Li FM^*; Wang YS; Chen A

来源：Acta Mechanica Solida Sinica, 2006, 19(1): 50-57.

DOI：10.1007/s10338-006-0606-8

• periodic piezoelectric rod
• wave localization
• transfer matrix
• localization factor
• disorder

The wave propagation in periodic and disordered periodic piezoelectric rods is studied in this paper. The transfer matrix between two consecutive unit cells is obtained according to the continuity conditions. The electromechanical coupling of piezoelectric materials is considered. According to the theory of matrix eigenvalues, the frequency bands in periodic structures are studied. Moreover, by introducing disorder in both the dimensionless length and elastic constants of the piezoelectric ceramics, the wave localization in disordered periodic structures is also studied, by using the matrix eigenvalue method and Lyapunov exponent method. It is found that tuned periodic structures have the frequency passbands and stopbands and localization phenomenon can occur in mistuned periodic structures. Furthermore, owing to the effect of piezoelectricity, the frequency regions for waves that cannot propagate through the structures are slightly increased with the increase of the piezoelectric constant.

• 出版日期2006-3
• 单位中国地震局工程力学研究所; 北京交通大学