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In order to eliminate the restriction of the return spring stiffness on the power generation and system reliability of the energy harvesting speed bump with the full wave mechanical rectifier, a dual-speed bump energy harvester (DBEH) based on the half-wave mechanical rectifier was proposed. The device utilized a mechanical transmission module to convert the downward linear movement of two speed bumps, driven by wheels, into the one-way rotary movement of a single generator shaft, thereby converting mechanical energy into electrical energy. The unidirectional motion conversion reduced the demand for the load of the return spring. The theoretical model of the wheel excitation and speed bump dynamics was established and verified by road tests. Based on the theoretical model, the power generation performance of DBEH was studied by numerical simulation. The research results indicate that the root mean square (RMS) power and output electrical energy of the system increase with the increase of external excitation amplitude and the decrease of the spring stiffness. When the load resistance value is 7-9 Ω, the output performance of the system is optimal. Compared to reducing the gear radius, increasing the speed of the gearbox has a more significant impact on the improvement of system output. A small inertia flywheel can effectively improve the system’s capture of the mechanical energy and the conversion rate from the mechanical energy to the electrical energy.
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为了消除含全波机械整流器减速带馈能装置的发电量和系统可靠性受到复位弹簧刚度的约束,提出了一种基于半波机械整流器的双减速带馈能装置(Dual-speed Bump Energy Harvester, DBEH)。该装置利用机械传动模块将两条减速带在车轮驱动下的向下线性运动转换成单个发电机轴的单向旋转运动,将机械能转换成电能。单向的运动转换降低了对复位弹簧载荷的要求。建立了车轮激励以及减速带动力学理论模型并通过了道路试验的验证。基于理论模型的数值仿真研究了双馈能减速带的发电性能。研究结果表明,系统的均方根(Root Mean Square, RMS)功率与输出电能随着外部激励幅值的增加,以及弹簧刚度的减小而增加;当负载电阻阻值为7~9 Ω时,系统的输出性能最优;与减小小齿轮半径相比,增大齿轮箱的增速比对系统输出的提升影响更明显;小惯量的飞轮更能有效提高系统对机械能的捕获与机械能到电能的转化率。
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李竞,男,1986年生,湖北十堰人,博士,讲师,硕士研究生导师;主要研究方向为噪声与振动控制、振动能量回收;E-mail:yzlijing@yzu.edu.cn。
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李竞,男,1986年生,湖北十堰人,博士,讲师,硕士研究生导师;主要研究方向为噪声与振动控制、振动能量回收;E-mail:yzlijing@yzu.edu.cn。
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周贺,男,1999年生,安徽宿州人,硕士研究生;主要研究方向为道路振动能量回收技术;E-mail:zzhouhe2023@163.com。
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周贺,男,1999年生,安徽宿州人,硕士研究生;主要研究方向为道路振动能量回收技术;E-mail:zzhouhe2023@163.com。
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39(10):1511-1519.(In Chinese), articleTitle=Research on power generation performance of speed bump vibration energy harvester under random excitation, refAbstract=null)], funds=[Fund(id=1240594169488527677, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, awardId=52005433, language=EN, fundingSource=National Natural Science Foundation of China(52005433), fundOrder=null, country=null), Fund(id=1240594169576608067, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, awardId=52005433, language=CN, fundingSource=国家自然科学基金项目(52005433), fundOrder=null, country=null), Fund(id=1240594169660494150, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, awardId=20KJB460001, language=EN, fundingSource=Natural Science Foundation of Jiangsu Higher Institutions(20KJB460001), fundOrder=null, country=null), Fund(id=1240594169824072012, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, awardId=20KJB460001, language=CN, fundingSource=江苏省高等学校自然科学基金项目(20KJB460001), fundOrder=null, country=null), Fund(id=1240594169916346708, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, awardId=YZU202102, language=EN, fundingSource=Special Cooperation Foundation for Yangzhou and YZU(YZU202102), fundOrder=null, country=null), Fund(id=1240594169983455574, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, awardId=YZU202102, language=CN, fundingSource=扬州市校合作专项基金项目(YZU202102), fundOrder=null, country=null), Fund(id=1240594170054758746, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, awardId=YZ2022202, language=EN, fundingSource=International Cooperation Foundation of Yangzhou(YZ2022202), fundOrder=null, country=null), Fund(id=1240594170205753695, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, awardId=YZ2022202, language=CN, fundingSource=扬州国际合作基金项目(YZ2022202), fundOrder=null, country=null)], companyList=[AuthorCompany(id=1240594161213166586, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, xref=null, ext=[AuthorCompanyExt(id=1240594161225749499, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, companyId=1240594161213166586, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=School of Mechanical Engineering, Yangzhou University, Yangzhou 225127, China), AuthorCompanyExt(id=1240594161234138108, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, companyId=1240594161213166586, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=扬州大学 机械工程学院,扬州 225127)])], figs=[ArticleFig(id=1240594164493111371, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.1, caption=
Structure design of the DBEH, figureFileSmall=/e691NU/T3+B+qGGDjE8oQ==, figureFileBig=HpJvsEAuYUON/elIdvR3mA==, tableContent=null), ArticleFig(id=1240594164631523410, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图1, caption=
DBEH结构设计, figureFileSmall=/e691NU/T3+B+qGGDjE8oQ==, figureFileBig=HpJvsEAuYUON/elIdvR3mA==, tableContent=null), ArticleFig(id=1240594164853821535, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.2, caption=
Working principle and transmission path of the DBEH, figureFileSmall=itPuun7ksCJt7S82OLUmFw==, figureFileBig=jBR/9BWjDxCQAkNPLy0EkA==, tableContent=null), ArticleFig(id=1240594164954484841, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图2, caption=
DBEH工作原理及传动路径, figureFileSmall=itPuun7ksCJt7S82OLUmFw==, figureFileBig=jBR/9BWjDxCQAkNPLy0EkA==, tableContent=null), ArticleFig(id=1240594165034176623, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.3, caption=
Curve of the sinusoidal half-wave wheel excitation, figureFileSmall=hszrwGlK8GUjcxPvlrL5Ww==, figureFileBig=C+CfFQM53RJDNshbFLyGWA==, tableContent=null), ArticleFig(id=1240594165201948788, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图3, caption=
正弦半波车轮激励曲线, figureFileSmall=hszrwGlK8GUjcxPvlrL5Ww==, figureFileBig=C+CfFQM53RJDNshbFLyGWA==, tableContent=null), ArticleFig(id=1240594165399081089, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.4, caption=
Dynamics model of the DBEH and the resistance circuit model of the generator, figureFileSmall=gVmJ8fKwXTHw6+iprNIBVg==, figureFileBig=nAhLl8jMX9O6NXrTSDFbMw==, tableContent=null), ArticleFig(id=1240594165512327311, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图4, caption=
DBEH动力学模型及发电机电阻电路模型, figureFileSmall=gVmJ8fKwXTHw6+iprNIBVg==, figureFileBig=nAhLl8jMX9O6NXrTSDFbMw==, tableContent=null), ArticleFig(id=1240594165587824790, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.5, caption=
Numerical simulation results of the DBEH, figureFileSmall=R6bgIY/BBiHZs61x/PYRVQ==, figureFileBig=9fUVNlLtqdoeK9zntOdUGg==, tableContent=null), ArticleFig(id=1240594165738819746, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图5, caption=
DBEH数值仿真结果, figureFileSmall=R6bgIY/BBiHZs61x/PYRVQ==, figureFileBig=9fUVNlLtqdoeK9zntOdUGg==, tableContent=null), ArticleFig(id=1240594165839483051, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.6, caption=
Road test of the DBEH, figureFileSmall=8fpLGzSMAwGkaZleLS4CcQ==, figureFileBig=NDC2Zdwm3GKn1zD56KTbbA==, tableContent=null), ArticleFig(id=1240594165998866609, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图6, caption=
DBEH道路试验, figureFileSmall=8fpLGzSMAwGkaZleLS4CcQ==, figureFileBig=NDC2Zdwm3GKn1zD56KTbbA==, tableContent=null), ArticleFig(id=1240594166099529914, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.7, caption=
Results of the road test and the numerical simulation, figureFileSmall=OaMf/KH93eYWXjKaudEIRw==, figureFileBig=JXx382JN3gDX0+f/jj14AQ==, tableContent=null), ArticleFig(id=1240594166179221698, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图7, caption=
道路试验以及数值仿真结果, figureFileSmall=OaMf/KH93eYWXjKaudEIRw==, figureFileBig=JXx382JN3gDX0+f/jj14AQ==, tableContent=null), ArticleFig(id=1240594166275690695, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.8, caption=
Output variation of the system with the wheel excitation, figureFileSmall=s7Md3fMYWlGlKBDG0kuAxg==, figureFileBig=ddJfAtenzorTiaPORDagxg==, tableContent=null), ArticleFig(id=1240594166363771089, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图8, caption=
系统输出随车轮激励变化, figureFileSmall=s7Md3fMYWlGlKBDG0kuAxg==, figureFileBig=ddJfAtenzorTiaPORDagxg==, tableContent=null), ArticleFig(id=1240594166460240085, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.9, caption=
Output variation of the system with the spring stiffness, figureFileSmall=MxCCW74xMPsOcaMdjhDpHQ==, figureFileBig=de5Z5DTlr7CkYrIQqyhS8w==, tableContent=null), ArticleFig(id=1240594166581874906, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图9, caption=
系统输出随弹簧刚度变化, figureFileSmall=MxCCW74xMPsOcaMdjhDpHQ==, figureFileBig=de5Z5DTlr7CkYrIQqyhS8w==, tableContent=null), ArticleFig(id=1240594166699315430, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.10, caption=
Output simulation results under different loads, figureFileSmall=01AtqtDaxPc/fmr9I1Ltzg==, figureFileBig=u99KZg6/6JxWh+WsiOX2GQ==, tableContent=null), ArticleFig(id=1240594166783201516, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图10, caption=
不同负载下的输出仿真结果, figureFileSmall=01AtqtDaxPc/fmr9I1Ltzg==, figureFileBig=u99KZg6/6JxWh+WsiOX2GQ==, tableContent=null), ArticleFig(id=1240594166883864820, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.11, caption=
Output variation of the system with the pinion radius and the acceleration ratio, figureFileSmall=yQvz6ub/daVjrLNVpQQP1Q==, figureFileBig=1S7OBTfjurjMNWmKCm1qPg==, tableContent=null), ArticleFig(id=1240594168389619965, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图11, caption=
系统输出随小齿轮半径及增速比变化, figureFileSmall=yQvz6ub/daVjrLNVpQQP1Q==, figureFileBig=1S7OBTfjurjMNWmKCm1qPg==, tableContent=null), ArticleFig(id=1240594168511254786, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.12, caption=
Simulation result under different flywheel inertias, figureFileSmall=6MSDBRL6fdZEUNZ3wcFejA==, figureFileBig=WZ04h5GOFtCL9SISYDdhnA==, tableContent=null), ArticleFig(id=1240594168632889608, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图12, caption=
不同飞轮惯量下的仿真结果, figureFileSmall=6MSDBRL6fdZEUNZ3wcFejA==, figureFileBig=WZ04h5GOFtCL9SISYDdhnA==, tableContent=null), ArticleFig(id=1240594168783884559, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Fig.13, caption=
Influence of the change of the inertia mass ratio between the flywheel and the generator rotor on the system’s output, figureFileSmall=4PWFaHSJm/ZSPS+2TWG9Rg==, figureFileBig=KnGAn5IdwKOwtUQkudmE7Q==, tableContent=null), ArticleFig(id=1240594168859382038, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=图13, caption=
飞轮与发电机转子惯性质量比的变化对系统输出的影响, figureFileSmall=4PWFaHSJm/ZSPS+2TWG9Rg==, figureFileBig=KnGAn5IdwKOwtUQkudmE7Q==, tableContent=null), ArticleFig(id=1240594168960045340, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Tab.1, caption=
Numerical simulation parameters
, figureFileSmall=null, figureFileBig=null, tableContent=
| 参数 Parameter | 值 Value |
|---|
| 减速带质量Speed bump mass mb/kg | 7.5 |
| 结构等效质量Equivalent mass of the structure mgm/kg | 5.87 |
| 附加等效质量Additional equivalent mass mge /kg | 10.77 |
| 复位弹簧刚度Return spring stiffness k/(N/m) | 12 000 |
等效黏滞阻尼系数Equivalent viscous damping coefficient cm /(N·s/m) | 500 |
反电动势系数 Back electromotive voltage constant ke/(V·min·r) | 0.044 |
电磁转矩系数 Electromagnetic torque coefficient kt /(N·m/A) | 0.098 |
| 增速比Acceleration ratio iT | 2 740.5 |
| 发电机内阻Generator internal resistance Rin/Ω | 3.492 |
| 负载电阻Load resistance RL/Ω | 10 |
| 减速带宽Speed bump width L/m | 0.3 |
| 小齿轮半径Pinion radius r/m | 0.018 75 |
附加等效转动惯量 Additional equivalent moment of the inertia Je/(kg·m2) | 3.78×10-3 |
| 车轮激励幅值Amplitude of the wheel excitation F0 /N | 1 000 |
| 车速Vehicle speed v/(km/h) | 5 |
), ArticleFig(id=1240594169102651687, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=表1, caption=
数值仿真参数
, figureFileSmall=null, figureFileBig=null, tableContent=
| 参数 Parameter | 值 Value |
|---|
| 减速带质量Speed bump mass mb/kg | 7.5 |
| 结构等效质量Equivalent mass of the structure mgm/kg | 5.87 |
| 附加等效质量Additional equivalent mass mge /kg | 10.77 |
| 复位弹簧刚度Return spring stiffness k/(N/m) | 12 000 |
等效黏滞阻尼系数Equivalent viscous damping coefficient cm /(N·s/m) | 500 |
反电动势系数 Back electromotive voltage constant ke/(V·min·r) | 0.044 |
电磁转矩系数 Electromagnetic torque coefficient kt /(N·m/A) | 0.098 |
| 增速比Acceleration ratio iT | 2 740.5 |
| 发电机内阻Generator internal resistance Rin/Ω | 3.492 |
| 负载电阻Load resistance RL/Ω | 10 |
| 减速带宽Speed bump width L/m | 0.3 |
| 小齿轮半径Pinion radius r/m | 0.018 75 |
附加等效转动惯量 Additional equivalent moment of the inertia Je/(kg·m2) | 3.78×10-3 |
| 车轮激励幅值Amplitude of the wheel excitation F0 /N | 1 000 |
| 车速Vehicle speed v/(km/h) | 5 |
), ArticleFig(id=1240594169220092207, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=EN, label=Tab.2, caption=
Mechanical energy capture and output electrical energy of the system under different flywheel inertia masses
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| Jfw/JM | 单个减速带捕获的机械能 Mechanical energy captured by a single-speed bump/J | 输出电能 Output electrical energy/J |
|---|
| 0 | 23.45 | 9.78 |
| 5 | 26.63 | 14.73 |
| 7 | 27.03 | 15.65 |
| 9 | 27.16 | 16.04 |
1 1 | 27.10 | 16.25 |
| 13 | 26.89 | 16.21 |
| 15 | 26.56 | 16.00 |
), ArticleFig(id=1240594169341727031, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1240594155940926296, language=CN, label=表2, caption=
不同飞轮惯性质量下系统机械能的捕获及输出电能
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| Jfw/JM | 单个减速带捕获的机械能 Mechanical energy captured by a single-speed bump/J | 输出电能 Output electrical energy/J |
|---|
| 0 | 23.45 | 9.78 |
| 5 | 26.63 | 14.73 |
| 7 | 27.03 | 15.65 |
| 9 | 27.16 | 16.04 |
1 1 | 27.10 | 16.25 |
| 13 | 26.89 | 16.21 |
| 15 | 26.56 | 16.00 |
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