受增量剪切运动影响的静电控制介质层压板的带隙
Band-gaps in electrostatically controlled dielectric laminates subjected to incremental shear motions
摘要：
研究了由两层介质弹性体构成的无限大周期层合板的厚度振动。通过感应垂直于层的偏置电场来预拉伸层压材料。接下来考虑叠加在初始有限变形上的增量时谐场。利用Bloch-Floquet定理和传输矩阵法，我们确定了色散关系，它与增量场频率和相速度有关。当布洛赫参数是复数时，波不能传播的频率范围被确定。这些带隙取决于相的性质，它们的体积分数，最重要的是在偏置电场。我们的分析揭示了这些带隙可以移动，它们的宽度可以通过改变偏置电场修改。这意味着通过控制静电偏置场，可以滤除期望的频率。检查具有不同组合的市售介电弹性体的层压板的代表性实例。
英文摘要：
The thickness vibrations of a finitely deformed infinite periodic laminate made out of two layers of dielectric elastomers is studied. The laminate is pre-stretched by inducing a bias electric field perpendicular the the layers. Incremental time-harmonic fields superimposed on the initial finite deformation are considered next. Utilizing the Bloch-Floquet theorem along with the transfer matrix method we determine the dispersion relation which relates the incremental fields frequency and the phase velocity. Ranges of frequencies at which waves cannot propagate are identified whenever the Bloch-parameter is complex. These band-gaps depend on the phases properties, their volume fraction, and most importantly on the electric bias field. Our analysis reveals how these band-gaps can be shifted and their width can be modified by changing the bias electric field. This implies that by controlling the electrostatic bias field desired frequencies can be filtered out. Representative examples of laminates with different combinations of commercially available dielectric elastomers are examined.
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