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首页> 外文期刊>Mathematical Problems in Engineering >An Efficient Spectral Element Model with Electric DOFs for the Static and Dynamic Analysis of a Piezoelectric Bimorph
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An Efficient Spectral Element Model with Electric DOFs for the Static and Dynamic Analysis of a Piezoelectric Bimorph

机译：具有电自由度的高效光谱元素模型，用于压电双压电晶片的静态和动态分析

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摘要

An efficient spectral element (SE) model for static and dynamic analysis of a piezoelectric bimorph is proposed. It combines an equivalent single layer (ESL) model for the mechanical displacement field with a sublayer approximation for the electric potential. The 2D Gauss-Lobatto-Legendre (GLL) shape functions are used to discretize the displacements and then the governing equation of motion is derived following the standard SE method procedure. It is shown numerically that the present SE model can well predict both the global and local responses such as mechanical displacements, natural frequencies, and the electric potentials across the bimorph thickness. In the case of bimorph sensor application, it is revealed that the distribution of the induced electric potential across the thickness does not affect the global natural frequencies much. Furthermore, the effects of the order of Legendre polynomial and the mesh size on the convergence rate are investigated. Comparison of the present results for a bimorph sensor with those from 3D finite element (FE) simulations establishes that the present SE model is accurate, robust, and computationally efficient.
机译：提出了一种用于压电双压电晶片静态和动态分析的有效频谱元素（SE）模型。它结合了机械位移场的等效单层（ESL）模型和电势的子层近似值。使用二维高斯-洛巴托-莱根特（GLL）形状函数离散化位移，然后按照标准SE方法程序导出运动的控制方程。数值显示，当前的SE模型可以很好地预测整体响应和局部响应，例如机械位移，固有频率以及双压电晶片厚度上的电势。在使用双压电晶片传感器的情况下，发现在整个厚度上感应电势的分布不会对整体固有频率产生很大影响。此外，研究了勒让德多项式阶数和网格大小对收敛速度的影响。将双压电晶片传感器的当前结果与3D有限元（FE）仿真的结果进行比较，可以确定当前的SE模型准确，可靠且计算效率高。

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  • 来源
    《Mathematical Problems in Engineering》 |2014年第8期|425317.1-425317.9|共9页
  • 作者

    Xingjian Dong; Zhike Peng; Wenming Zhang; HongXing Hua; Guang Meng;

  • 作者单位

    Institute of Vibration Shock & Noise, State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China;

    Institute of Vibration Shock & Noise, State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China;

    Institute of Vibration Shock & Noise, State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China;

    Institute of Vibration Shock & Noise, State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China;

    Institute of Vibration Shock & Noise, State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China;

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