Design and Analysis of an Extended Simply Supported Beam Piezoelectric Energy Harvester
Abstract
:1. Introduction
2. Design and Modeling
3. Experiment
4. Results
4.1. ESSB PEH under Base Excitations
4.2. ESSB PEH with Torsional Springs under Base Excitations
4.3. ESSB PEH with Axial Preload under Base Excitations
4.4. Comparison between the ESSB PEH and the Cantilevered PEH
4.5. Influence of Tip Mass on Strain Distribution of the ESSB PEH
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Symbol | Description | Value | ||
---|---|---|---|---|
Config. 1 | Config. 2 | Config. 3 | ||
L2 | Length of the extended beam | 20 mm | 30 mm | 40 mm |
Mt | Tip mass | 4.9 g | 1.9 g | 0.9 g |
ζ | damping ratio | 0.035 | 0.0265 | 0.0245 |
bx | Width of the extended beam | 12.7 mm | ||
hx | Thickness of the extended beam | 0.1 mm | ||
ρx | Density of the extended beam | 7930 kg/m3 | ||
Yx | Young’s modulus of the extended beam | 193 GPa | ||
L1 | Length of the main beam | 100 mm | ||
bs | Width of the substrate | 12.7 mm | ||
hs | Thickness of the substrate | 0.1 mm | ||
ρs | Density of the substrate | 7930 kg/m3 | ||
Ys | Young’s modulus of the substrate | 193 Gpa | ||
be | Width of the epoxy | 10 mm | ||
he | Thickness of the epoxy | 0.09 mm | ||
ρe | Density of the epoxy | 1200 kg/m3 | ||
Ye | Young’s modulus of the epoxy | 27 Mpa | ||
bp | Width of the PVDF | 10 mm | ||
hp | Thickness of the PVDF | 0.2 mm | ||
ρp | Density of the PVDF | 1780 kg/m3 | ||
Yp | Young’s modulus of the PVDF | 2.9 Gpa | ||
Cp | Capacitance of the PVDF | 1 nF | ||
d31 | Piezoelectric constant of the PVDF | 16 pm/V |
Symbol | Description | Value | |||
---|---|---|---|---|---|
Config. A | Config. B | Config. C | Config. D | ||
k1 | Stiffness | 0 N/rad | 10−3 N/rad | 10−2 N/rad | 10−1 N/rad |
Le | Length of the extended beam | 21.9 mm | 22.1 mm | 23.9 mm | 26.2 mm |
Mt | Tip mass | 4.4 g | 4.33 g | 3.83 g | 3.33 g |
Symbol | Description | Value | |||
---|---|---|---|---|---|
Config. A | Config. B | Config. C | Config. D | ||
k1 | Stiffness | 0 N/rad | 10−3 N/rad | 10−2 N/rad | 10−1 N/rad |
Le | Length of the extended beam | 21.9 mm | 21.8 mm | 20 mm | 12.2 mm |
Mt | Tip mass | 4.4 g | 4.64 g | 7.4 g | 50.6 g |
Symbol | Description | Value | |||
---|---|---|---|---|---|
Config. A | Config. B | Config. C | Config. D | ||
Ps | Pre-stretching load | 0 N | 0.05 N | 0.1 N | 0.2 N |
Le | Length of the extended beam | 21.9 mm | 22.9 mm | 23.8 mm | 25.1 mm |
Mt | Tip mass | 4.4 g | 4.12 g | 3.9 g | 3.61 g |
Symbol | Description | Value | |||
---|---|---|---|---|---|
Config. A | Config. B | Config. C | Config. D | ||
k1 | Pre-compressing load | 0 N | 0.05 N | 0.1 N | 0.2 N |
Le | Length of the extended beam | 21.9 mm | 20.8 mm | 19.5 mm | 18.5 mm |
Mt | Tip mass | 4.4 g | 4.74 g | 5.2 g | 4.9 g |
Tip Mass | Mean of Normalized Strain |
---|---|
0·Mt | 0.6465 |
0.1·Mt | 0.7146 |
0.2·Mt | 0.7379 |
0.5·Mt | 0.6405 |
Mt | 0.5656 |
2·Mt | 0.5316 |
5·Mt | 0.5124 |
100·Mt | 0.5006 |
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Su, W.-J.; Tseng, C.-H. Design and Analysis of an Extended Simply Supported Beam Piezoelectric Energy Harvester. Sensors 2023, 23, 5895. https://doi.org/10.3390/s23135895
Su W-J, Tseng C-H. Design and Analysis of an Extended Simply Supported Beam Piezoelectric Energy Harvester. Sensors. 2023; 23(13):5895. https://doi.org/10.3390/s23135895
Chicago/Turabian StyleSu, Wei-Jiun, and Chu-Hsiang Tseng. 2023. "Design and Analysis of an Extended Simply Supported Beam Piezoelectric Energy Harvester" Sensors 23, no. 13: 5895. https://doi.org/10.3390/s23135895