Localization of flexural waves in a disordered periodic piezoelectric beam
Localization of flexural waves in a disordered periodic piezoelectric beam
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DOI：
10.1016/j.jsv.2007.03.047
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发表时间：
2007-07
影响因子：
4.7
通讯作者：
A-Li Chen;Fengming Li;Yuesheng Wang
中科院分区：
文献类型：
--
作者：
A-Li Chen;Fengming Li;Yuesheng Wang
研究了无序周期压电梁中弯曲波的局部化问题。在欧拉-伯努利梁的假设下，导出了压电梁的波动方程，并给出了简谐解。利用连续性条件得到了结构中两个相邻单胞之间的传递矩阵。利用Wolf算法给出了局部化因子的表达式。给出了数值算例，分析了几种无序参数对局域化因子的影响。结果表明，压电效应对周期压电梁的通带和阻带有明显的影响。通过改变结构参数，可以改变无序周期压电梁中的波传播和局部化行为。
Localization of bending waves in a disordered periodic piezoelectric beam is studied in this paper. The equation of the wave motion for a piezoelectric beam is derived on the assumption of an Euler–Bernoulli beam, and the harmonic solution is presented. The transfer matrix between two consecutive unit cells in the structures is obtained by using the continuity conditions. The expression of the localization factor is given by Wolf's algorithm. Numerical examples are presented and the effects of several disordered parameters on the localization factor are analyzed. The results show that piezoelectricity has obvious effects on the passbands and stopbands of the periodic piezoelectric beam. The behavior of wave propagation and localization in disordered periodic piezoelectric beams can be altered by tuning different structural parameters.