Kutsenko A A, Shuvalov A L, Poncelet O, Darinskii A N
Université de Bordeaux, Unité Mixte de Recherche au Centre National de la Recherche Scientifique 5295, I2M-APY, 33405 Talence, France.
Institute of Crystallography, Russian Academy of Sciences, 119333 Moscow, Russia.
J Acoust Soc Am. 2015 Feb;137(2):606-16. doi: 10.1121/1.4906162.
One-dimensional propagation of a longitudinal wave through an infinite piezoelectric periodically layered structure is considered. The unit cell consists, in general, of piezoelectric multilayers separated by thin electrodes which are connected through a capacitor with capacity Cj that plays the role of the external electric control providing tunability of the mechanical properties. The main focus of the present study is on the effective properties characterizing the homogenized medium. Due to the electric boundary conditions, the 4×4 transfer matrix M through the period T can be reduced to 2 × 2 dimension governing the mechanical fields only. As a result, the homogenized medium is pure elastic though its effective material parameters depend on the piezoelectric and dielectric coefficients of the actual piezoelectric medium, as well as on Cj. The effective parameters and the impedance in the low-frequency limit ω→0 and at finite frequency are obtained and analyzed.
考虑纵向波在无限大压电周期层状结构中的一维传播。通常，单胞由压电多层结构组成，这些多层结构由薄电极隔开，薄电极通过电容为(C_j)的电容器连接，该电容起到外部电控制的作用，可提供机械性能的可调性。本研究的主要重点是表征均匀化介质的有效特性。由于电边界条件，通过周期(T)的(4×4)传递矩阵(M)可简化为仅控制机械场的(2×2)维矩阵。结果，均匀化介质是纯弹性的，尽管其有效材料参数取决于实际压电介质的压电系数和介电系数以及(C_j)。获得并分析了低频极限(\omega→0)和有限频率下的有效参数和阻抗。
