基于高斯展开法的钢轨-双声学黑洞压电梁俘能特性研究

Power capture characteristics of rail-double acoustic black hole piezoelectric beam based on Gaussian expansion method

  • 摘要: 声学黑洞效应通过减缓结构中弹性波的传播并抑制边界反射,为振动能量回收提供了思路。设计了一种用于铁路轨道系统的双声学黑洞压电梁俘能装置,基于能量泛函变分原理与高斯展开法构建了钢轨-俘能装置的力-电耦合半解析模型,并经有限元模拟验证。结合列车荷载条件,系统分析了能量回收特性及其关键影响因素,包括黑洞几何参数和端部附加质量。结果表明:在0~1500 Hz频率范围内形成四个主要能量回收频带,最大输出电压为4.83 V,回收效率达2.23%。当压电片长度与结构弯曲波半波长匹配时回收性能最优,增强黑洞效应或合理配置附加质量可显著提升能量回收效率。

     

    Abstract: The acoustic black hole (ABH) effect, which decelerates the propagation of elastic waves and suppresses boundary reflections, presents a novel mechanism for vibration energy harvesting. A dual-ABH piezoelectric beam energy harvester has been designed for application in railway track systems. A semi-analytical electromechanical coupling model was developed using the energy functional variational principle and Gaussian expansion method. Validation was conducted through finite element simulations. Under train-induced loading, energy harvesting behavior was investigated with respect to ABH geometric parameters and terminal mass. Four principal energy harvesting bands were identified within the 0~1500 Hz range, yielding a peak output voltage of 4.83 V and a maximum efficiency of 2.23%. Optimal energy conversion was achieved when the piezoelectric patch length equaled half the bending wave wavelength of the host structure. Efficiency was further improved by strengthening the ABH effect or through appropriate tuning of the terminal mass.

     

/

返回文章
返回