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首页> 美国卫生研究院文献>Sensors (Basel Switzerland) >Modeling of the Through-the-Thickness Electric Potentials of a Piezoelectric Bimorph Using the Spectral Element Method
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Modeling of the Through-the-Thickness Electric Potentials of a Piezoelectric Bimorph Using the Spectral Element Method

机译：压电双压电晶片的全厚度电势的谱元法建模

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摘要

An efficient spectral element (SE) with electric potential degrees of freedom (DOF) is proposed to investigate the static electromechanical responses of a piezoelectric bimorph for its actuator and sensor functions. A sublayer model based on the piecewise linear approximation for the electric potential is used to describe the nonlinear distribution of electric potential through the thickness of the piezoelectric layers. An equivalent single layer (ESL) model based on first-order shear deformation theory (FSDT) is used to describe the displacement field. The Legendre orthogonal polynomials of order 5 are used in the element interpolation functions. The validity and the capability of the present SE model for investigation of global and local responses of the piezoelectric bimorph are confirmed by comparing the present solutions with those obtained from coupled 3-D finite element (FE) analysis. It is shown that, without introducing any higher-order electric potential assumptions, the current method can accurately describe the distribution of the electric potential across the thickness even for a rather thick bimorph. It is revealed that the effect of electric potential is significant when the bimorph is used as sensor while the effect is insignificant when the bimorph is used as actuator, and therefore, the present study may provide a better understanding of the nonlinear induced electric potential for bimorph sensor and actuator.
机译：提出了一种具有电位自由度（DOF）的有效频谱元素（SE），以研究压电双压电晶片对其执行器和传感器功能的静态机电响应。基于电位的分段线性逼近的子层模型用于描述通过压电层厚度的电位非线性分布。基于一阶剪切变形理论（FSDT）的等效单层（ESL）模型用于描述位移场。元素插值函数中使用5级的Legendre正交多项式。通过比较本解决方案与从耦合3D有限元（FE）分析获得的解决方案，可以证实本SE模型用于研究压电双压电晶片的整体和局部响应的有效性和能力。结果表明，在不引入任何高阶电势假设的情况下，即使对于相当厚的双压电晶片，当前方法也可以准确地描述整个厚度上的电势分布。结果表明，当双压电晶片用作传感器时，电势的影响显着，而当双压电晶片用作致动器时，电势的影响不明显，因此，本研究可以更好地理解双压电晶片的非线性感应电势。传感器和执行器。

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