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Piezoaeroelastic system on the basis of a double aerodynamic pendulum
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-09-07 , DOI: 10.1002/zamm.202000092
Yury D. Selyutskiy, Andrei P. Holub, Ching‐Huei Lin

During last decades, possibilities to use piezoelectric generators to harvest energy from the flow‐induced vibrations of different structures are intensively studied. In particular, various wind power harvesters based on fluttering oscillations of wing sections are proposed. In this work, an electromechanical system is considered that consists of a double aerodynamic pendulum connected with a piezoelectric element in such a way that rotation of the first link of the pendulum results in deformation of the piezoelement. The element is connected to a load resistance. Stability of the trivial equilibrium is analyzed, and conditions for stability loss are discussed. It is shown, in particular, that it is possible to choose parameters of the system in such a way that the trivial equilibrium (where both links of the pendulum are oriented along the incoming flow) is unstable when the wind speed belongs to a certain finite range of values, and asymptotically stable outside this range. Periodic solutions of the system are studied numerically depending on the wind speed and the moment of inertia of the second pendulum link. The effect of disappearance of limit cycles in the range of large wind speeds is demonstrated.

中文翻译:

基于双气动摆的压电气动弹性系统

在过去的几十年中,对使用压电发电机从不同结构的流动引起的振动中收集能量的可能性进行了深入研究。特别地,提出了基于机翼部分的颤动振荡的各种风力收集器。在这项工作中,将考虑一个机电系统,该系统由一个双气动摆和一个压电元件组成,该摆与压电元件连接,使得摆的第一连杆的旋转会导致压电元件变形。该元件连接到负载电阻。分析了微不足道的平衡的稳定性,并讨论了稳定性损失的条件。尤其显示了它 当风速属于某个有限的值范围时,可以选择系统的参数,使得微不足道的平衡(摆的两个环节都沿着入射流定向)是不稳定的,并且渐近稳定超出此范围。根据风速和第二个摆杆的惯性矩,对系统的周期解进行了数值研究。证明了在大风速范围内极限循环消失的影响。
更新日期:2020-09-07
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