Citation: | Huang Haobo, Cao Di, Zhou Zhiyong, Du Wenfeng. Research progress of piezoelectric wind energy harvesters based on vortex-induced vibration. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(10): 2132-2145. DOI: 10.6052/0459-1879-23-364 |
[1] |
Morel A, Charleux L, Demouron Q, et al. Simple analytical models and analysis of bistable vibration energy harvesters. Smart Materials and Structures, 2022, 31(10): 105016
|
[2] |
Buccolini L, Conti M. An energy harvester interface for self-powered wireless speed sensor. IEEE Sensors Journal, 2017, 17(4): 1097-1104 doi: 10.1109/JSEN.2016.2635940
|
[3] |
Saha K, Chatterjee A, Das A, et al. Self-powered ionic tactile sensors. Journal of Materials Chemistry C, 2023, 11(24): 7920-7936 doi: 10.1039/D2TC05109E
|
[4] |
Zeng XL, Peng RH, Fan ZY, et al. Self-powered and wearable biosensors for healthcare. Materials Today Energy, 2022, 23: 100900
|
[5] |
Xu JH, Wei XL, Li RN, et al. A capsule-shaped triboelectric nanogenerator for self-powered health monitoring of traffic facilities. Acs Materials Letters, 2022, 4(9): 1630-1637 doi: 10.1021/acsmaterialslett.2c00477
|
[6] |
Pan HY, Qi LF, Zhang ZT, et al. Kinetic energy harvesting technologies for applications in land transportation: A comprehensive review. Applied Energy, 2021, 286: 116518
|
[7] |
Qin Z, Tang XR, Wu YT, et al. Advancement of tidal current generation technology in recent years: A review. Energies, 2022, 15(21): 8042
|
[8] |
Blaabjerg F, Ma K. Wind energy systems. Proceedings of the IEEE, 2017, 105(11): 2116-2131 doi: 10.1109/JPROC.2017.2695485
|
[9] |
Kabir E, Kumar P, Kumar S, et al. Solar energy: Potential and future prospects. Renewable & Sustainable Energy Reviews, 2018, 82: 894-900
|
[10] |
Van der Zwaan B, Dalla LF. Integrated assessment projections for global geothermal energy use. Geothermics, 2019, 82: 203-211 doi: 10.1016/j.geothermics.2019.06.008
|
[11] |
Huang DM, Zhou SX, Han Q, et al. Response analysis of the nonlinear vibration energy harvester with an uncertain parameter. Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics, 2020, 234(2): 393-407 doi: 10.1177/1464419319893211
|
[12] |
Msigwa G, Ighalo JO, Yap PS. Considerations on environmental, economic, and energy impacts of wind energy generation: Projections towards sustainability initiatives. Science of the Total Environment, 2022, 849: 157755
|
[13] |
Pathak S, Zhang R, Gayen B, et al. ultra-low friction self-levitating nanomagnetic fluid bearing for highly efficient wind energy harvesting. Sustainable Energy Technologies and Assessments, 2022, 52: 102024
|
[14] |
李耀华, 孔力. 发展太阳能和风能发电技术 加速推进我国能源转型. 中国科学院院刊. 2019, 34(04): 426-433
Li Yaohua, Kong Li. Developing solar and wind power generation technology to accelerate China's energy transformation. Bulletin of the Chinese Academy of Sciences, 2019, 34(4): 426-433 (in Chinese))
|
[15] |
杨茂, 杨琼琼. 风电机组风速−功率特性曲线建模研究综述. 电力自动化设备. 2018, 38(2): 34-43
Yang Mao, Yang Qiongqiong. Review of modeling of wind speed-power characteristic curve for wind turbine. Electric Power Automation Equipment, 2018, 38(2): 34-43 (in Chinese))
|
[16] |
Karasmanaki E. Is it safe to live near wind turbines? Reviewing the impacts of wind turbine noise. Energy for Sustainable Development, 2022, 69: 87-102 doi: 10.1016/j.esd.2022.05.012
|
[17] |
Lloyd JD, Butryn R, Pearman-Gillman S, et al. Seasonal patterns of bird and bat collision fatalities at wind turbines. PLOS One, 2023, 18(5): e0284778
|
[18] |
Rehling F, Delius A, Ellerbrok J, et al. Wind turbines in managed forests partially displace common birds. Journal of Environmental Management, 2023, 328: 116968
|
[19] |
Zhang LB, Abdelkefi A, Dai HL, et al. Design and experimental analysis of broadband energy harvesting from vortex-induced vibrations. Journal of Sound and Vibration, 2017, 408: 210-219
|
[20] |
Li HT, Ren H, Cao F, et al. Improving the galloping energy harvesting performance with magnetic coupling. International Journal of Mechanical Sciences, 2023, 237: 107785
|
[21] |
Tcho IW, Kim WG, Kim JK, et al. A flutter-driven triboelectric nanogenerator for harvesting energy of gentle breezes with a rear-fixed fluttering film. Nano Energy, 2022, 98: 107197
|
[22] |
Liu Y, Ding LB, Dai L, et al. All-ceramic flexible piezoelectric energy harvester. Advanced Functional Materials, 2022, 32(52): 2209297
|
[23] |
Sheng WQ, Xiang HJ, Zhang ZW, et al. High-efficiency piezoelectric energy harvester for vehicle-induced bridge vibrations: Theory and experiment. Composite Structures, 2022, 299: 116040
|
[24] |
Cao YS, Li JR, Sha AM, et al. A power-intensive piezoelectric energy harvester with efficient load utilization for road energy collection: Design, testing, and application. Journal of Cleaner Production, 2022, 369: 133287
|
[25] |
Yu J, Li DC, Li SB, et al. Electromagnetic vibration energy harvester using magnetic fluid as lubricant and liquid spring. Energy Conversion and Management, 2023, 286: 117030
|
[26] |
Pyo S, Kwon DS, Ko HJ, et al. Frequency up-conversion hybrid energy harvester combining piezoelectric and electromagnetic transduction mechanisms. International Journal of Precision Engineering and Manufacturing-Green Technology, 2022, 9(1): 241-251 doi: 10.1007/s40684-021-00321-y
|
[27] |
Ge XH, Hu N, Yan FJ, et al. Development and applications of electrospun nanofiber-based triboelectric nanogenerators. Nano Energy, 2023, 112: 108444
|
[28] |
Yuan W, Zhang CG, Zhang BF, et al. Wearable, breathable and waterproof triboelectric nanogenerators for harvesting human motion and raindrop energy. Advanced Materials Technologies, 2022, 7(6): 2101139
|
[29] |
Lai ZH, Wang SB, Zhu LK, et al. A hybrid piezo-dielectric wind energy harvester for high-performance vortex-induced vibration energy harvesting. Mechanical Systems and Signal Processing, 2021, 150: 107212
|
[30] |
杜小振, Mbango-Ngoma PA, 常恒等. 流致涡激振动压电发电风能采集技术模拟研究. 振动与冲击. 2022, 41(23): 168-174, 200
Du Xiaozhen, Mbango-Ngoma PA, Chang Heng, et al. Wind energy collection technology simulation with flow-induced VIV piezoelectric film for power generation. Journal of Vibration and Shock, 2022, 41(23): 168-174, 200 (in Chinese))
|
[31] |
Zheng XT, He LP, Wang SJ, et al. A review of piezoelectric energy harvesters for harvesting wind energy. Sensors and Actuators a-Physical, 2023, 352: 114190
|
[32] |
Wang JL, Geng LF, Ding L, et al. The state-of-the-art review on energy harvesting from flow-induced vibrations. Applied Energy, 2020, 267: 114902
|
[33] |
Dai HL, Abdelkefi A, Wang L. Theoretical modeling and nonlinear analysis of piezoelectric energy harvesting from vortex-induced vibrations. Journal of Intelligent Material Systems and Structures, 2014, 25(14): 1861-1874
|
[34] |
Ma XQ, Zhou SX. A review of flow-induced vibration energy harvesters. Energy Conversion and Management, 2022, 254: 115223
|
[35] |
Kou JQ, Zhang WW, Liu YL, et al. The lowest reynolds number of vortex-induced vibrations. Physics of Fluids, 2017, 29(4): 041701
|
[36] |
Martins FAC, Avila JPJ. Effects of the reynolds number and structural damping on vortex-induced vibrations of elastically-mounted rigid cylinder. International Journal of Mechanical Sciences, 2019, 156: 235-249
|
[37] |
Zhang MJ, Yu HY, Ying XY. Incorporation of subcritical reynolds number into an aerodynamic damping model for vortex-induced vibration of a smooth circular cylinder. Engineering Structures, 2021, 249: 113325
|
[38] |
Zhang MJ, Zhang CY, Abdelkefi A, et al. Piezoelectric energy harvesting from vortex-induced vibration of a circular cylinder: Effect of reynolds number. Ocean Engineering, 2021, 235: 109378
|
[39] |
Cheng Z, Lien FS, Yee E, et al. Vortex-induced vibration of a circular cylinder with nonlinear restoring forces at low-reynolds number. Ocean Engineering, 2022, 266: 113197
|
[40] |
Mehdipour I, Madaro F, Rizzi F, et al. Comprehensive experimental study on bluff body shapes for vortex-induced vibration piezoelectric energy harvesting mechanisms. Energy Conversion and Management-X, 2022, 13: 100174
|
[41] |
Karimzadeh A, Roohi R, Akbari M. Size-dependent behavior of micro piezoelectric viv energy harvester: Parametric study and performance analysis. Applied Ocean Research, 2022, 127: 103296
|
[42] |
Alam MdM. Effects of mass and damping on flow-induced vibration of a cylinder interacting with the wake of another cylinder at high reduced velocities. Energies, 2021, 14(16): 5148
|
[43] |
Ambrozkiewicz B, Czyz Z, Karpinski P, et al. Ceramic-based piezoelectric material for energy harvesting using hybrid excitation. Materials, 2021, 14(19): 5816
|
[44] |
Verma M, De A. Dynamics of vortex-induced-vibrations of a slit-offset circular cylinder for energy harvesting at low reynolds number. Physics of Fluids, 2022, 34(8): 083607
|
[45] |
Tang BW, Fan XT, Wang JW, et al. Energy harvesting from flow-induced vibrations enhanced by meta-surface structure under elastic interference. International Journal of Mechanical Sciences, 2022, 236: 107749
|
[46] |
Jebelli M, Masdari M. Interaction of free oscillating flat plate and viv of a circular cylinder in laminar flow. Journal of Fluids and Structures, 2022, 113: 103648
|
[47] |
Ramirez JM. A coupled formulation of fluid-structure interaction and piezoelectricity for modeling a multi-body energy harvester from vortex-induced vibrations. Energy Conversion and Management, 2021, 249: 114852
|
[48] |
Zhao X, Zhu WD, Li YH. Closed-form solutions of bending-torsion coupled forced vibrations of a piezoelectric energy harvester under a fluid vortex. Journal of Vibration and Acoustics-Transactions of the Asme, 2022, 144(2): 021010
|
[49] |
Lu D, Li Z, Hu G, et al. Two-degree-of-freedom piezoelectric energy harvesting from vortex-induced vibration. Micromachines, 2022, 13(11): 1936
|
[50] |
Naseer R, Abdelkefi A. Nonlinear modeling and efficacy of viv-based energy harvesters: Monostable and bistable designs. Mechanical Systems and Signal Processing, 2022, 169: 108775
|
[51] |
Huang XB, Zhong TS. Hydrokinetic energy harvesting from flow-induced vibration of a hollow cylinder attached with a bi-stable energy harvester. Energy Conversion and Management, 2023, 278: 116718
|
[52] |
Ma XQ, Li ZY, Zhang H, et al. Dynamic modeling and analysis of a tristable vortex-induced vibration energy harvester. Mechanical Systems and Signal Processing, 2023, 187: 109924
|
[53] |
Mishra R, Bhardwaj R, Kulkarni SS, et al. Vortex-induced vibration of a circular cylinder on a nonlinear viscoelastic support. Journal of Fluids and Structures, 2021, 100: 103196
|
[54] |
Li JJ, Li S, He XF, et al. Geometrically nonlinear model of piezoelectric wind energy harvesters based on vortex-induced vibration and galloping. Smart Materials and Structures, 2022, 31(10): 105019
|
[55] |
Zhang LB, Meng B, Tian Y, et al. Vortex-induced vibration triboelectric nanogenerator for low speed wind energy harvesting. Nano Energy, 2022, 95: 107029
|
[56] |
Wang SY, Liao WL, Zhang ZH, et al. Development of a novel non-contact piezoelectric wind energy harvester excited by vortex-induced vibration. Energy Conversion and Management, 2021, 235: 113980
|
[57] |
Wang JL, Zhang CY, Yurchenko D, et al. Usefulness of inclined circular cylinders for designing ultra-wide bandwidth piezoelectric energy harvesters: Experiments and computational investigations. Energy, 2022, 239: 122203
|
[58] |
Azadeh-Ranjbar V, Elvin N, Andreopoulos Y. Vortex-induced vibration of finite-length circular cylinders with spanwise free-ends: Broadening the lock-in envelope. Physics of Fluids, 2018, 30(10): 105104
|
[59] |
Wang JL, Sun SK, Tang LH, et al. On the use of metasurface for vortex-induced vibration suppression or energy harvesting. Energy Conversion and Management, 2021, 235: 113991
|
[60] |
Wang JL, Zhang Y, Liu M, et al. Etching metasurfaces on bluff bodies for vortex-induced vibration energy harvesting. International Journal of Mechanical Sciences, 2023, 242: 108016
|
[61] |
Wang JL, Gu SH, Abdelkefi A, et al. Enhancing piezoelectric energy harvesting from the flow-induced vibration of a circular cylinder using dual splitters. Smart Materials and Structures, 2021, 30(5): 05LT01
|
[62] |
Wang JL, Xia B, Yurchenko D, et al. Enhanced performance of piezoelectric energy harvester by two asymmetrical splitter plates. Ocean Engineering, 2023, 270: 113614
|
[63] |
Li HT, Ren H, Shang MJ, et al. Dynamics and performance evaluation of a vortex-induced vibration energy harvester with hybrid bluff body. Smart Materials and Structures, 2023, 32(4): 045016
|
[64] |
Siritham T, Kittichaikarn C. Effect of a v-shaped groove on the performance of a circular-cylinder energy harvester. Smart Materials and Structures, 2023, 32(3): 035042
|
[65] |
Hosseini S, Afsharfard A, Zarkak MR, et al. Increasing vortex-induced vibration-based energy harvesting using a nature-inspired bluff body: An experimental study. European Journal of Mechanics B-Fluids, 2023, 97: 1-11 doi: 10.1016/j.euromechflu.2022.08.002
|
[66] |
Li HT, Dong BJ, Cao F, et al. Homoclinic bifurcation for a bi-stable piezoelectric energy harvester subjected to galloping and base excitations. Applied Mathematical Modelling, 2022, 104: 228-242 doi: 10.1016/j.apm.2021.10.050
|
[67] |
Xu C, Zhao LY. Investigation on the characteristics of a novel internal resonance galloping oscillator for concurrent aeroelastic and base vibratory energy harvesting. Mechanical Systems and Signal Processing, 2022, 173: 109022
|
[68] |
Liao BP, Zhao R, Yu KP, et al. Theoretical and experimental investigation of a bi-stable piezoelectric energy harvester incorporating fluid-induced vibration. Energy Conversion and Management, 2022, 255: 115307
|
[69] |
Zhang HW, Qin WY, Zhou ZY, et al. Piezomagnetoelastic energy harvesting from bridge vibrations using bi-stable characteristics. Energy, 2023, 263: 125859
|
[70] |
Wu N, He YC, Fu JY, et al. Performance of a bistable flow-energy harvester based on vortex-induced vibration. Journal of Wind Engineering and Industrial Aerodynamics, 2021, 217: 104733
|
[71] |
Joy A, Joshi V, Narendran K, et al. Piezoelectric energy extraction from a cylinder undergoing vortex-induced vibration using internal resonance. Scientific Reports, 2023, 13(1): 6924
|
[72] |
Zhou ZY, Qin WY, Zhu P, et al. Harvesting more energy from variable-speed wind by a multi-stable configuration with vortex-induced vibration and galloping. Energy, 2021, 237: 121551
|
[73] |
Wang YS, Zhou ZY, Qin WY, et al. Harvesting wind energy with a bi-stable configuration integrating vortex-induced vibration and galloping. Journal of Physics D-Applied Physics, 2021, 54(28): 285501
|
[74] |
Sui WT, Zhang HR, Yang CQ, et al. Modeling and experimental investigation of magnetically coupling bending-torsion piezoelectric energy harvester based on vortex-induced vibration. Journal of Intelligent Material Systems and Structures, 2022, 33(9): 1147-1160 doi: 10.1177/1045389X211048229
|
[75] |
Kan JW, Liao WL, Wang SY, et al. A piezoelectric wind energy harvester excited indirectly by a coupler via magnetic-field coupling. Energy Conversion and Management, 2021, 240: 114250
|
[76] |
Hou CW, Li CH, Shan XB, et al. A broadband piezo-electromagnetic hybrid energy harvester under combined vortex-induced and base excitations. Mechanical Systems and Signal Processing, 2022, 171: 108963
|
[77] |
Wang JL, Gu SH, Zhang CY, et al. Hybrid wind energy scavenging by coupling vortex-induced vibrations and galloping. Energy Conversion and Management, 2020, 213: 112835
|
[78] |
Jooss Y, Ronning EB, Hearst RJ, et al. Influence of position and wind direction on the performance of a roof mounted vertical axis wind turbine. Journal of Wind Engineering and Industrial Aerodynamics, 2022, 230: 105177
|
[79] |
Shi TY, Hu G, Zou LH, et al. Performance of an omnidirectional piezoelectric wind energy harvester. Wind Energy, 2021, 24(11): 1167-1179 doi: 10.1002/we.2624
|
[80] |
Li S, He XF, Li JJ, et al. An in-plane omnidirectional piezoelectric wind energy harvester based on vortex-induced vibration. Applied Physics Letters, 2022, 120(4): 043901
|
[81] |
Su WJ, Wang ZS. Development of a non-linear bi-directional vortex-induced piezoelectric energy harvester with magnetic interaction. Sensors, 2021, 21(7): 2299
|
[82] |
Zhang HK, Song RJ, Meng JP, et al. A direction adaptive hybrid piezo-electromagnetic energy harvester based on vortex-induced vibration. Ferroelectrics, 2021, 584(1): 113-120 doi: 10.1080/00150193.2021.1984778
|
[83] |
侯成伟, 单小彪, 宋汝君等. 风向自适应型涡激振动压电俘能器的试验研究. 机械工程学报, 2022, 58(20): 120-127 (Hou Chengwei, Shan Xiaobiao, Song Rujun, et al. Experimental study of orientation adaptive piezoelectric energy harvester based on vortex induced vibration. Journal of Mechanical Engineering, 2022, 58(20): 120-127 (in Chinese) doi: 10.3901/JME.2022.20.120
Hou Chengwei, Shan Xiaobiao, Song Rujun, et al. Experimental study of orientation adaptive piezoelectric energy harvester based on vortex induced vibration. Journal of Mechanical Engineering, 2022, 58(20): 120-7. (in Chinese)) doi: 10.3901/JME.2022.20.120
|
[84] |
Wang JL, Wang YQ, Hu GB. Investigation of hybridized bluff bodies for flow-induced vibration energy harvesting. Journal of Physics D-Applied Physics, 2022, 55(48): 484001
|
[85] |
Chen S, Wang CH, Zhao LY. A two-degree-of-freedom aeroelastic energy harvesting system with coupled vortex-induced-vibration and wake galloping mechanisms. Applied Physics Letters, 2023, 122(6): 063901
|
[86] |
Li X, Wang XX, Tian HG, et al. Experimental research of symmetrical airfoil piezoelectric energy harvester excited by vortex-induced flutter coupling. Applied Sciences-Basel, 2022, 12(24): 12514
|
[87] |
Al-Riyami M, Bahadur I, Ouakad H. There is plenty of room inside a bluff body: A hybrid piezoelectric and electromagnetic wind energy harvester. Energies, 2022, 15(16): 6097
|
[88] |
Du XE, Zhang M, Chang H, et al. Micro windmill piezoelectric energy harvester based on vortex- induced vibration in tunnel. Energy, 2022, 238: 121734
|
[89] |
Su B, He SH, Zhang MJ, et al. Experimental study on flow-induced vibration of a circular cylinder with a downstream square plate. Ocean Engineering, 2022, 247: 110768
|
[90] |
Wang JL, Zhang CY, Zhang MJ, et al. Enhancing energy harvesting from flow-induced vibrations of a circular cylinder using a downstream rectangular plate: An experimental study. International Journal of Mechanical Sciences, 2021, 211: 106781
|
[91] |
Kan JW, Liao WL, Wang J, et al. Enhanced piezoelectric wind-induced vibration energy harvester via the interplay between cylindrical shell and diamond-shaped baffle. Nano Energy, 2021, 89: 106466
|
[92] |
Liao WL, Wen YJ, Kan JW, et al. A joint-nested structure piezoelectric energy harvester for high-performance wind-induced vibration energy harvesting. International Journal of Mechanical Sciences, 2022, 227: 107443
|
[93] |
Kan JW, Wang J, Meng FX, et al. A downwind-vibrating piezoelectric energy harvester under the disturbance of a downstream baffle. Energy, 2023, 262: 125429
|
[94] |
Wang J, Kan JW, Gu YQ, et al. Design, performance evaluation and calibration of an indirectly-excited piezoelectric wind energy harvester via a double-bluffbody exciter. Energy Conversion and Management, 2023, 284: 116969
|
[95] |
Liao WL, Zhang ZH, Huang X, et al. A novel magnetic-coupling non-contact piezoelectric wind energy harvester with a compound-embedded structure. IEEE Sensors Journal, 2022, 22(9): 8428-8438 doi: 10.1109/JSEN.2022.3161833
|
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[7] | Lu Fangyun, Li Junling, Zhao Pengduo, Cui Yunxiao, Wen Xuejun. DESIGN AND APPLICATIONS OF PIEZOELECTRIC CRYSTALS TRANSDUCER IN DYNAMIC EXPERIMENTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 834-842. DOI: 10.6052/0459-1879-14-162 |
[8] | Hongliang Dai, Yiming Fu, J.H. Yang. Electromagnetoelastic behaviors of functionally graded piezoelectric[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 39(1): 55-63. DOI: 10.6052/0459-1879-2007-1-2006-127 |
[9] | The dynamic analysis of piezoelectric bending actuator considering nonlinear piezoelectric effect[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(2): 183-189. DOI: 10.6052/0459-1879-2005-2-2004-010 |
[10] | VORTEX STRUCTURE IN THE WAKE OF THE AXISYMMETRIC BLUFF BODIES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(3): 347-350. DOI: 10.6052/0459-1879-1990-3-1995-954 |