Yang Z T, Guo S H
Institute of Mechanics and Sensing Technology, School of Civil Engineering and Architecture, Central South University, Changsha, Hunan 410083, PR China.
Ultrasonics. 2008 Dec;48(8):716-23. doi: 10.1016/j.ultras.2008.04.001. Epub 2008 Apr 12.
We study the transmission of electric energy through a circular cylindrical elastic shell by acoustic wave propagation and piezoelectric transducers. Our mechanics model consists of a circular cylindrical elastic shell with finite piezoelectric patches on both sides of the shell. A theoretical analysis using the equations of elasticity and piezoelectricity is performed. A trigonometric series solution is obtained. Output voltage and transmitted power are calculated. Confinement and localization of the vibration energy (energy trapping) is studied which can only be understood from analyzing finite transducers. It is shown that when thickness-twist mode is used the structure shows energy trapping with which the vibration can be confined to the transducer region. It is also shown that energy trapping is sensitive to the geometric and physical parameters of the structure.
我们通过声波传播和压电换能器研究电能在圆柱形弹性壳中的传输。我们的力学模型由一个在壳两侧带有有限压电贴片的圆柱形弹性壳组成。利用弹性和压电方程进行了理论分析。得到了一个三角级数解。计算了输出电压和传输功率。研究了振动能量的限制和局域化(能量俘获),这只能通过分析有限的换能器来理解。结果表明,当使用厚度扭转模式时,该结构表现出能量俘获,通过这种方式振动可以被限制在换能器区域。还表明,能量俘获对结构的几何和物理参数敏感。