能量收集颤振柔性板中的压电耦合：线性稳定性分析和转换效率
Piezoelectric coupling in energy-harvesting fluttering flexible plates : linear stability analysis and conversion efficiency
摘要：
本文利用压电材料研究了轴向流场中板的颤振所获得的能量。推导了流固耦合系统和电耦合系统的线性动力学方程。当板的变形特征长度比压电片的长度大时，考虑了连续极限。耦合系统的线性稳定性分析，从局部和全局的角度来看。压电能量收集增加了柔性板的运动的刚度和阻尼，并且对于在介质中传播的负能量波观察到耗散的不稳定。这一结果在有限长板颤振模态的全局分析中得到了证实。最后观察到，波或模式不稳定的压电耦合最大化的能量转换效率。
英文摘要：
This paper investigates the energy harvested from the flutter of a plate in an axial flow by making use of piezoelectric materials. The equations for fully-coupled linear dynamics of the fluid-solid and electrical systems are derived. The continuous limit is then considered, when the characteristic length of the plate's deformations is large compared to the piezoelectric patches' length. The linear stability analysis of the coupled system is addressed from both a local and global point of view. Piezoelectric energy harvesting adds rigidity and damping on the motion of the flexible plate, and destabilization by dissipation is observed for negative energy waves propagating in the medium. This result is confirmed in the global analysis of fluttering modes of a finite-length plate. It is finally observed that waves or modes destabilized by piezoelectric coupling maximize the energy conversion efficiency.
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