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首页> 外文会议>AD-vol.69; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition; 20041113-19; Anaheim,CA(US) >Electromechanical Model of an Active Polymer Thin Circular Disk
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Electromechanical Model of an Active Polymer Thin Circular Disk

机译：活性聚合物薄圆盘的机电模型

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摘要

Ionic polymers exhibit an electromechanical response similar to a piezoelectric bender. It has been shown that material properties similar to piezoelectric properties can be used to effectively model ionic polymer devices. One proposed ionic polymer device is a circular disk fabricated from the ionic polymer material for shape and vibration control can be accomplished through electrical boundary conditions applied to the ionic polymer rather than by adding external actuators. This paper extends the formulae for natural frequencies and mode shapes of a thin disk to include quasi-piezoelectric properties and electrical boundary conditions. An electromechanical model for ionic polymers using equivalent circuit representation has been previously developed. Three materials properties, which are compatible with accepted piezoelectric actuator and transducer relationships were derived and experimentally verified. The equivalent Young's modulus, dielectric permittivity, and the strain coefficient were found to be frequency dependant over the range 0.1 Hz to 500 Hz. In this paper the variational energy method is applied to develop a two-dimensional model of a thin electro-active polymer disk. The variational model relies on an extension of the electromechanical material properties derived for ionomeric materials. An example of a disk with simply supported geometric boundary conditions is presented and operational deflection shapes are simulated for electrical excitation between 0.1 and 500 Hz. The model predicts that the frequency dependence of the material properties will produce modal responses with both real and imaginary components, indicating the existence of travelling waves in the disk. Voltage to deflection transfer functions are also developed for several geometric boundary conditions using this model and then compared to experimental results. The model correctly predicts damped resonant frequencies as a result of the viscoelastic properties. It also accurately predicts low frequency phase lag and resonant frequencies of the electromechanical response.
机译：离子聚合物表现出类似于压电弯曲机的机电响应。已经表明，类似于压电性质的材料性质可以用于有效地建模离子聚合物器件。一种提出的离子聚合物装置是由离子聚合物材料制成的圆盘，用于形状和振动控制可以通过施加到离子聚合物上的电边界条件来实现，而不是通过添加外部致动器来实现。本文扩展了薄盘固有频率和模式形状的公式，以包括准压电特性和电边界条件。先前已经开发出使用等效电路表示的离子聚合物机电模型。推导并通过实验验证了三种材料特性，这些特性与公认的压电致动器和换能器关系兼容。发现等效杨氏模量，介电常数和应变系数在0.1 Hz至500 Hz的范围内与频率有关。在本文中，采用变分能量方法来开发薄电活性聚合物圆盘的二维模型。变分模型依赖于为离聚物材料导出的机电材料特性的扩展。给出了具有简单支持的几何边界条件的磁盘的示例，并模拟了在0.1到500 Hz之间电激励的操作偏转形状。该模型预测，材料属性的频率依赖性将产生具有实部和虚部的模态响应，表明圆盘中存在行波。使用该模型还针对几种几何边界条件开发了电压到挠度的传递函数，然后将其与实验结果进行了比较。该模型可以正确预测由于粘弹性质而产生的阻尼共振频率。它还准确地预测了低频相位滞后和机电响应的谐振频率。

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