一种基于涡激振动的新型锚链发电装置的设计与建模分析

The Design and Mathematical Modeling of a Novel Power Generation Anchor Based on Vortex Induced Vibration

提出了一种可以将流体动能转换为电能的新型锚链装置设计构想。该装置由一个附着于锚链的钝头体和固连于钝头体的压电悬臂梁构成,钝头体在来流的作用下产生横向振动,并在其尾流区激发漩涡,而压电悬臂梁则在其尾流中弯曲。利用力分解模型建立了钝头体的横向振动模型,采用欧拉-伯努利梁的弯曲方程建立了压电悬臂梁的弯曲变形模型,将两部分模型结合起来研究装置的运动情况,得到了悬臂梁的弯曲挠度和装置的发电性能数学模型,证明了装置的可行性。在圆柱直径D为100 mm,流速为0.5 m/s,负载电阻为200 kΩ,梁长为3D时平均输出功率可达到7.3μW。该模型可以为设计和优化锚链装置提供指导。

A novel anchor chain system that can convert fluid dynamic energy into electrical power is presented conceptually in this paper. It consists of a bluff body attached to the anchor chain and a piezoelectric cantilever beam fixed to the bluff body. The bluff body undergoes vortex induced vibration （VIV） under the action of the incoming flow and sheds vortices periodically in its wake zone which forces the beam to bend. The transverse motion model of the bluff body was established with Sarplaya＇s lift decomposition model. The bending model of the piezoelectric cantilever beam was established using the bending equation of the Euler-Bernoulli beam. The two-part model was used to study the transverse motion of the device, the deflection of the piezoelectric cantilever beam and the generated power. The results show that the device is feasible. In the case of a cylindrical diameter D be 100 mm, an incoming flow velocity be 0.5 m/s, a load resistance be 200 kΩ, and a beam length be 3D, the average output power can be 7.3 μW. The model can provide guidance for designing and optimizing the anchor chain system.