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浙江大学学报(工学版)
Journal of ZheJiang University (Engineering Science)  2021, Vol. 55 Issue (1): 162-168    DOI: 10.3785/j.issn.1008-973X.2021.01.019
    
Low broadband characteristics of L-shaped piezoelectric cantilever beam with bending shear load
Jian-dong JIANG(),Jiu-li ZHANG,Rui-zheng NIU,Song-tao WU,Xin QIAO
Key Laboratory of Special Purpose Equipment and Advanced Manufacturing Technology, Ministry of Education, Zhejiang University of Technology, Hangzhou 310014, China
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Abstract  

The L-shaped cantilever beam with coupled bending-shear load was proposed based on the Timoshenko beam theory, and energy capture performance of composite piezoelectric structures of L-shaped piezoelectric cantilever beams was analyzed to solve the problems of high natural frequency, narrow working frequency range and low energy conversion efficiency in traditional piezoelectric energy harvesting devices. The effects of the length, width and length of the L-shaped cantilever beam on the piezoelectric energy acquisition frequency, output voltage peak and energy conversion efficiency were analyzed according to the characteristics of the operating environment of the wireless sensor. L-shaped piezoelectric cantilever beams with different sizes were combined to analyze and design the array-type composite vibrator with a square layout. Simulation calculations and experimental verification results were compared. The energy acquisition frequency was 28-36 Hz, 61-68 Hz, 92-99 Hz and 103-111 Hz at the environmental low frequency of 0-250 Hz. The frequency was improved by 260% on average compared with the conventional array piezoelectric composite beam of the same size.

Key words： Timoshenko beam      L-shaped cantilever beam      low broadband      composite oscillator     
Received: 05 January 2020      Published: 27 January 2021
CLC:  TN 712  
  TN 384  
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Jian-dong JIANG
Jiu-li ZHANG
Rui-zheng NIU
Song-tao WU
Xin QIAO
Cite this article:

Jian-dong JIANG,Jiu-li ZHANG,Rui-zheng NIU,Song-tao WU,Xin QIAO. Low broadband characteristics of L-shaped piezoelectric cantilever beam with bending shear load. Journal of ZheJiang University (Engineering Science), 2021, 55(1): 162-168.

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http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2021.01.019     OR     http://www.zjujournals.com/eng/Y2021/V55/I1/162


耦合弯曲-剪切载荷L型压电振子的低宽频特性

针对传统的压电能量采集装置固有频率高、工作频率范围窄及能量转换率低的问题，基于Timoshenko梁理论提出耦合弯曲-剪切载荷的L型压电振子，研究基于L型压电振子的复合压电结构的能量采集特性. 根据无线传感器的作业环境特点，研究L型悬臂梁的长度、宽度及延伸段长等因素对压电能量采集频率、输出电压峰值及能量转换效率的影响规律. 组合不同尺寸L型压电悬臂梁，研究设计回字形布局的阵列式复合振子. 经仿真分析与实验验证结果可知，在0~250 Hz低频环境下，能量采集频率为28~36 Hz、61~68 Hz、92~99 Hz以及103~111 Hz，较等尺寸传统阵列式压电复合振子覆盖频率平均提升了260%.


关键词： Timoshenko梁,  L型悬臂梁,  低宽频,  复合振子 
Fig.1 Energy conversion model of L-shaped piezoelectric vibrator
Fig.2 Multi-degree-of-freedom piezoelectric element finite element model
材料 ρ/（kg·m?3） μ E/GPa
PZT-5H 7500 0.31 71
铍青铜 8300 0.35 130
ABS 1200 0.39 2
Tab.1 Piezoelectric vibrator material properties
序号 b /mm a /mm c /mm nf V1 /V V2 /V
1 5 60 15 1 3 ?
2 5 75 20 1 3.8 ?
3 5 90 25 1 4.7 ?
4 5 105 30 2 9 2.0
5 20 60 20 1 4 ?
6 20 75 15 1 3 ?
7 20 90 30 2 6 1.0
8 20 105 25 2 6.1 0.4
9 35 60 25 2 6.5 1.0
10 35 75 30 2 7.5 0.5
11 35 90 15 2 2.1 2.2
12 35 105 20 2 5 2.1
13 50 60 30 2 4.2 0.8
14 50 75 25 2 7 2.7
15 50 90 20 2 3.9 4.0
16 50 105 15 2 1.2 2.1
Tab.2 Design and results of orthogonal test
Fig.3 Fourth order modal frequency distribution curve of 1-16th piezoelectric cantilever beam
Fig.4 Output voltage-frequency distribution curve of 1-16th piezoelectric cantilever beam
Fig.5 Energy conversion rate-frequency distribution curve of 1-16th piezoelectric cantilever beam
Fig.6 First fourth order modal frequency distribution curve（b =5~185 mm）
Fig.7 Simulation results of output voltage-frequency distribution under different b values
组数 a /mm b /mm c /mm
1 105 44 30
2 105 41 30
3 105 37.5 30
4 105 32.5 30
5 60 21 15
6 60 20 15
7 60 18.5 15
8 60 17.5 15
Tab.3 Structure size of L-shaped piezoelectric composite vibrator
Fig.8 Schematic diagram of L-shaped piezoelectric composite structure
Fig.9 Output voltage-frequency distribution curve of L-shaped and traditional piezoelectric composite vibrator
Fig.10 Output voltage-frequency distribution curve of L-shaped piezoelectric composite vibrator under different acceleration loads
Fig.11 Experimental platform system of piezoelectric energy harvesting
Fig.12 Experimental results of output voltage-frequency distribution under different b values
Fig.13 Physical picture of multi-degree-of-freedom piezoelectric composite vibrator
Fig.14 Comparison graph of experimental and simulation results of L-shaped piezoelectric composite vibrator
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