长柔压电梁振动俘能与形变感知研究

常文燕; 王虎; 牛钟锐; 张森荣; 宋汝君; 张丹; 张磊安

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长柔压电梁振动俘能与形变感知研究

更新时间：2025-06-26

- 长柔压电梁振动俘能与形变感知研究
- Research on Vibration Energy Harvesting and Deformation Sensing of Long Flexible Piezoelectric Beam
- 西安交通大学学报 2025年
- 作者机构：
  
  1.山东理工大学机械工程学院,山东省淄博市255000
  2.山东理工大学电气与电子工程学院,山东省淄博市255000
- 作者简介：
- 基金信息：
  
  面向风电叶片双轴疲劳试验的新型电磁复合激振理论与方法(52075305);全风向风致振动的风柱俘能器及其集成阵列发电研究(ZR2022ME053)
- DOI：
  中图分类号： TM619;TH113.1
- 收稿：2025-05-08，
  
  修回：2025-06-08，
  
  录用：2025-06-25，
- 稿件说明：
移动端阅览
常文燕, 王虎, 牛钟锐, 等. 长柔压电梁振动俘能与形变感知研究[J/OL]. 西安交通大学学报, 2025.

CHANG Wenyan, WANG Hu, NIU Zhongrui, et al. Research on Vibration Energy Harvesting and Deformation Sensing of Long Flexible Piezoelectric Beam[J/OL]. Moren Journal, 2025.
常文燕, 王虎, 牛钟锐, 等. 长柔压电梁振动俘能与形变感知研究[J/OL]. 西安交通大学学报, 2025. DOI：

CHANG Wenyan, WANG Hu, NIU Zhongrui, et al. Research on Vibration Energy Harvesting and Deformation Sensing of Long Flexible Piezoelectric Beam[J/OL]. Moren Journal, 2025. DOI：

摘要

为了探究长柔梁振动俘能影响因素，揭示阵列压电装置俘能原理及感知机理，本文提出了对长柔压电梁振动俘能与形变感知的研究。本文对压电装置采用阵列式压电片的布置方案，利用压电效应将振动能转换成电能，并基于激振实验测得的多点电压，通过高斯数值积分与样条插值方法建立长柔梁挠度数学模型，进行数值仿真分析。结果表明：阵列压电装置的共振频率为19.6 Hz，输出电压随激振频率的增加先增大后减小，随激励加速度的增大而增大，且在压电片Ⅰ、Ⅱ、Ⅲ中靠近悬臂梁根部的Ⅰ输出开路电压最大，其在不同激励加速度下最大输出电压分别为8.08 V、6.59 V、4.13 V。在质量块和磁力分别作用下，共振频率均会减小，且输出电压增加。在质量块影响下，Ⅰ、Ⅱ、Ⅲ最大输出电压相较于无质量块分别提升了31.19%、25.95%、52.78%，在磁力作用下，分别提升了45.92%、28.98%、55.21%。当加速度为2 m/s

时，长柔压电梁末端挠度实验结果为6.967 mm，数值仿真结果为6.964 mm，相对误差仅为0.43%，引入磁力后，相对误差最大为10.06%，由此说明在外界因素影响下，该模型依然能够保障压电感知的准确性，实现了长柔压电梁形变感知。

Abstract

In order to explore the influencing factors of vibration energy harvesting of long flexible beam and reveal the energy harvesting principle and sensing mechanism of array piezoelectric device

this paper proposes a study on vibration energy harvesting and deformation sensing of long flexible piezoelectric beam. This paper proposes an arrangement scheme for the piezoelectric device to use an array of piezoelectric sheets

which uses the piezoelectric effect to convert vibration energy into electrical energy. And establishes a mathematical model of the deflection of long flexible beam through Gaussian numerical integration and spline interpolation method based on the multi-point voltage measured by the excitation experiments for numerical simulation and analysis. The results show that the resonant frequency of the array piezoelectric device is 19.6 Hz

the output voltage first increases and then decreases with the increase of the excitation frequency

and increases with the increase of the excitation acceleration. Moreover

among the piezoelectric sheets I

II and III

the o

utput open-circuit voltage of Ⅰ near the root of the cantilever beam is the largest

and its maximum output voltage under different excitation accelerations are 8.08 V

6.59 V and 4.13 V respectively. Both the resonant frequency decreases and the output voltage increases under the effect of mass block and magnetic force respectively. Under the influence of the mass block

the output voltage of Ⅰ

Ⅱ and Ⅲ increased by 31.19%

25.95% and 52.7% respectively compared to the case without mass block. Under the action of magnetic force

the maximum output voltage increased by 45.92%

28.98% and 55.21% respectively. When the acceleration is 2 m/s

the experimental result of the deflection at the end of the long flexible piezoelectric beam is 6.967 mm

the numerical simulation result is 6.964 mm

and the relative error is only 0.43%. And after the introduction of the magnetic force

the maximum relative error is 10.06%

which shows that the model can still guarantee the accuracy of the piezoelectric sensing under the influence of external factors and the deformation sensing of the long flexible piezoelectric beam is realized.

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references

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