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首页> 外文期刊>Proceedings of the Institution of Mechanical Engineers, Part C. Journal of mechanical engineering science >A mathematical model in three-dimensional piezoelectric continuum to predict non-linear responses of piezoceramic materials
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A mathematical model in three-dimensional piezoelectric continuum to predict non-linear responses of piezoceramic materials

机译：三维压电连续体中预测压电陶瓷材料非线性响应的数学模型

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摘要

It has been experimentally observed that the piezoceramic materials exhibit different types of non-linearities under different combinations of electrical and mechanical fields. When excited near resonance in the presence of weak electric fields, they exhibit typical non-linearities similar to a Duffing oscillator such as jump phenomena and the presence of superharmonics in the response spectra. In this work, these non-linearities have been modelled for a generalized three-dimensional piezoelectric continuum using higher-order quadratic and cubic terms in the electric enthalpy density function and the virtual work. The identification of the parameters of the model requires a closed form solution for non-linear response of a simplified geometry. A simple proportional damping formulation has been used in the model. Experiments have been conducted on rectangular and cylindrical geometries of piezoceramic PIC 181 at different magnitudes of applied electric fields and results have been compared with those of simulation.
机译：实验上已经观察到，压电陶瓷材料在电场和机械场的不同组合下表现出不同类型的非线性。当在弱电场的存在下接近共振时，它们表现出类似于Duffing振荡器的典型非线性，例如跳跃现象和响应谱中存在超谐波。在这项工作中，这些非线性已在电焓密度函数和虚拟功中使用高阶二次项和三次项为广义三维压电连续体建模。模型参数的识别需要简化形式的非线性响应的封闭形式解决方案。模型中使用了简单的比例阻尼公式。对压电陶瓷PIC 181的矩形和圆柱形几何体在不同的施加电场强度下进行了实验，并将结果与​​仿真结果进行了比较。

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