Anisotropic hierarchic finite elements for the simulation of piezoelectric smart structures
Anisotropic hierarchic finite elements for the simulation of piezoelectric smart structures
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DOI：
10.1108/ec-08-2013-0005
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发表时间：
2013-11
影响因子：
1.6
通讯作者：
S. Duczek;U. Gabbert
中科院分区：
文献类型：
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作者：
S. Duczek;U. Gabbert
用途-压电执行器和传感器是轻量化设计的重要组成部分。它们既可以用于噪声消除设备，因为薄壁结构容易产生声发射，也可以用于形状控制方法，以抑制不必要的振动。此外，在基于兰姆波的健康监测系统中，压电片被应用于激励和接收超声波。本文的目的是开发一个更高的阶有限元与压电功能，以模拟智能结构efficient.Design/方法/approach -在本文中，一个新的全三维压电六面体有限元的基础上的p-版本的有限元法（FEM）的发展。利用分层勒让德多项式结合各向异性的Anneumatic空间来导出机电耦合单元。这导致减少数值工作。建议的元素的适用性证明usi…
Purpose – Piezoelectric actuators and sensors are an invaluable part of lightweight designs for several reasons. They can either be used in noise cancellation devices as thin‐walled structures are prone to acoustic emissions, or in shape control approaches to suppress unwanted vibrations. Also in Lamb wave based health monitoring systems piezoelectric patches are applied to excite and to receive ultrasonic waves. The purpose of this paper is to develop a higher order finite element with piezoelectric capabilities in order to simulate smart structures efficiently.Design/methodology/approach – In the paper the development of a new fully three‐dimensional piezoelectric hexahedral finite element based on the p‐version of the finite element method (FEM) is presented. Hierarchic Legendre polynomials in combination with an anisotropic ansatz space are utilized to derive an electro‐mechanically coupled element. This results in a reduced numerical effort. The suitability of the proposed element is demonstrated usi...