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Equations for the control of the flexural vibrations of composite plates by partially electroded piezoelectric actuators

机译:通过部分电极压电致动器控制复合板弯曲振动的方程式

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Abstract: A system of 2D equations for the flexural vibrations of symmetric composite plates with both unelectroded and electroded portions of piezoelectric actuators attached to the top and bottom surfaces is obtained. The resulting system of equations is applied in the analysis of the cylindrical bending of a composite plate caused by voltages applied to partially electroded piezoelectric actuators. It is shown that no shearing stress is transferred across the interfaces between the electroded portions of the actuators and the composite plate and that an exponentially decaying shearing stress is transferred across the interfaces in the unelectroded regions of the actuators. The resulting finite shearing stress shows that when the electrodes end a short distance from the edge of the actuator, the undesirable singular shearing stress distribution that exists when the electrodes extend to the edge of the actuator is eliminated.!8
机译:摘要:获得了二维对称方程组的对称复合材料板的弯曲振动系统,压电致动器的非电极部分和电极部分都附着在顶部和底部表面上。所得的方程组可用于分析复合板的圆柱弯曲,该弯曲是由施加到部分电极的压电致动器的电压引起的。示出了没有剪切应力在致动器的电极部分与复合板之间的界面上传递,并且指数衰减的剪切应力在致动器的非电极区域中的界面上传递。所产生的有限剪切应力表明,当电极距离执行器边缘短距离时,消除了当电极延伸到执行器边缘时不希望的奇异剪应力分布。8

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