Numerical and analytical method for the design of piezoelectric modal sensors/actuators for shell-type structures
Numerical and analytical method for the design of piezoelectric modal sensors/actuators for shell-type structures
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DOI：
10.1002/nme.2757
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发表时间：
2010-03-26
影响因子：
2.9
通讯作者：
Chacon, J. M.
中科院分区：
文献类型：
--
作者：
Donoso, A.;Bellido, J. C.;Chacon, J. M.
本文讨论了柱面曲线板的分布式压电模传感器/驱动器的设计问题。将设计问题归结为一个最优化问题，其中设计变量是一个仅取三个值的函数(电极的极化曲线)：-1(负极化)、0(零极化或无压电材料)、I(正极化)，目标函数与换能器的频率响应有关。对于这里描述的模型，我们解析地证明，能够理想地隔离特定振动模式的电极图案必须完全覆盖具有正极或负极化的压电层。此外，我们还提出了一种精确的数值方法来系统地设计这些偏振图案，并提出了一种新的三维参数化和可视化算法。版权所有(C)2009 John Wiley&Sons，Ltd.
In this paper we treat the problem of designing distributed piezoelectric modal sensors/actuators for cylindrically curved panels. The design problem is tackled as an optimization problem where the design variable is a function (the polarization profile of the electrode) that takes on three values only: -1 (negative polarization), 0 (zero polarization or no piezoelectric material), I (positive polarization), and the objective function is connected with the frequency response of the transducer. For the model described here, we analytically prove that the electrode patterns that make it possible to ideally isolate particular vibration modes must entirely cover the piezoelectric lamina with either positive or negative polarization. Further, we propose an accurate numerical method for systematically designing these polarization patterns and a novel algorithm for parameterizing and visualizing them in 3d. Copyright (C) 2009 John Wiley & Sons, Ltd.