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曹东兴, 马鸿博, 张伟. 附磁压电悬臂梁流致振动俘能特性分析[J]. 力学学报, 2019, 51(4): 1148-1155. DOI:10.6052/0459-1879-18-426
引用本文: 曹东兴, 马鸿博, 张伟. 附磁压电悬臂梁流致振动俘能特性分析[J]. 力学学报, 2019, 51(4): 1148-1155.DOI:10.6052/0459-1879-18-426
Cao Dongxing, Ma Hongbo, Zhang Wei. ENERGY HARVESTING ANALYSIS OF A PIEZOELECTRIC CANTILEVER BEAM WITH MAGNETS FOR FLOW-INDUCED VIBRATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(4): 1148-1155. DOI:10.6052/0459-1879-18-426
Citation: Cao Dongxing, Ma Hongbo, Zhang Wei. ENERGY HARVESTING ANALYSIS OF A PIEZOELECTRIC CANTILEVER BEAM WITH MAGNETS FOR FLOW-INDUCED VIBRATION[J].Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(4): 1148-1155.DOI:10.6052/0459-1879-18-426

附磁压电悬臂梁流致振动俘能特性分析

ENERGY HARVESTING ANALYSIS OF A PIEZOELECTRIC CANTILEVER BEAM WITH MAGNETS FOR FLOW-INDUCED VIBRATION

  • 摘要:流致振动蕴含巨大的能量, 本文基于流致振动理论,设计了一种附加磁力激励的压电悬臂梁流致振动俘能器,并通过理论和实验研究其振动俘能特性.该俘能器由压电悬臂梁、圆柱绕流体和磁铁组成;首先基于Euler-Bernoulli梁理论,推导了流致振动附磁压电俘能器的能量函数,利用Hamilton原理建立了流致振动附磁压电俘能器的机电耦合方程;利用数值方法研究详细分析了流速、圆柱绕流体直径和长度、磁间距、磁极和外接电阻等系统参数对压电俘能器振动特性和输出电压的影响.分析结果表明, 该型压电俘能器的振动幅值在低流速条件下产生涡激振动,并产生最大的输出电压;磁力可以降低压电俘能器的共振频率并能够拓宽压电俘能器频带带宽,因此,附磁压电俘能器具有相比没有附磁的压电俘能器更适用于低速层流环境;实验结果与数值结果吻合较好,验证了附磁压电悬臂梁流致振动俘能器的理论分析的正确性.

    Abstract:Flow-induced vibration contains tremendous energy. Based on the theory of flow-induced vibration, a kind of flow-induced vibration energy harvester with additional magnetic excitation is designed, and its vibration energy harvesting characteristics are studied theoretically and experimentally. The harvester consists of a piezoelectric cantilever beam, a circular cylinder and magnets. Firstly, based on the Euler-Bernoulli beam theory, the energy functions of the magneto-piezoelectric energy harvester with fluid-induced vibration excitation are derived, and the electromechanical coupling equation is established by using the Hamilton principle. Then, the influence of the system parameters such as the flow velocity, the diameter and length of the circular cylinder, the magnetic parameters and the external resistance on the vibration characteristics and output voltage of the piezoelectric energy harvester. The results show that the vibration amplitude of the piezoelectric harvester produces vortex-induced vibration at low flow velocity and output the maximum voltage; the magnetic force can reduce the resonance frequency of the structure and broaden the bandwidth harvester. Thus, the magnetized piezoelectric harvester is more suitable for low-speed flow environment than the non-magnetized piezoelectric harvester. The experimental results agree well with the numerical results, which verifies the results of the theoretical analysis of the magneto-piezoelectric energy harvester.

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