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Aiming at the noise problem of the automobile electric seat adjuster, a pair of modified worm and modified helical gear was adopted for its main transmission system to reduce the meshing impact. The mathematical model was established, and several worms and helical gears with different modifications were processed. The noise test bench was built,and the acceleration spectrum of the automobile seat adjuster under the original models and different modifications were tested. Then the whole device’s noise reduction test was conducted with the optimized combination of tooth profile modification. The analysis results show that the appropriate profile modification of the worm and helical gear can effectively reduce the acceleration spectrum peak. With 0.04 mm and 0.02 mm modification respectively for the helical gear and the worm, the acceleration peak value of seat adjuster is significantly lower than that of the original product. The difference between the 6 sets of test products maximum noise and the standard products is within 1.6 dB, and the acceleration spectrum and acceleration peak of the experimental products are significantly reduced compared to the original product, which can verify noise reduction by the tooth profile modification of worm and helical gear pair is feasible.
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针对汽车电动座椅调节器中的噪声问题,对其主要传动系统采用修形蜗杆和修形斜齿轮配对以减少啮合冲击。建立其数学模型,加工了不同修形量的蜗杆和斜齿轮,搭建了噪声测试试验台,测试了原模型和不同修形量情况下汽车座椅调节器的加速度频谱,选取较优组合进行了齿廓修形后的整机降噪测试。分析结果表明,合适的蜗杆和斜齿轮齿廓修形可有效降低加速度频谱峰值,斜齿轮、蜗杆修形量分别取0.04、0.02 mm下的座椅调节器加速度峰值较原产品下降明显;6套试验产品的噪声与对标产品的最大噪声的差值在1.6 dB以内,且试验产品的加速度频谱和加速度峰值较原产品明显降低,验证了蜗杆斜齿轮副齿廓修形降噪的可行性。
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1, 2, 3, address=
1.School of Artificial Intelligence, Chongqing Business Vocational College, Chongqing 401331, China
2.School of Aeronautics & Astronautics, Sichuan University, Chengdu 610207, China
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1.重庆商务职业学院 人工智能学院,重庆 401331
2.四川大学 空天科学与工程学院,成都 610207
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陈燕,女,1985年生,重庆人,博士,副教授;主要研究方向为机械传动、精密传动;E-mail:chenyan-85@163.com。
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陈燕,女,1985年生,重庆人,博士,副教授;主要研究方向为机械传动、精密传动;E-mail:chenyan-85@163.com。
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4, address=
4.Shenzhen Lanlan Technology Co., Ltd., Shenzhen 518000, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1241400384468603883, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, authorId=1241400384208557024, language=CN, stringName=王文韬, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
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4.深圳蓝蓝科技有限公司,深圳 518000)])]), Author(id=1241400384544101359, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, orderNo=2, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=null, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1241400386049856502, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, authorId=1241400384544101359, language=EN, stringName=Yun PU, firstName=Yun, middleName=null, lastName=PU, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
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1.School of Artificial Intelligence, Chongqing Business Vocational College, Chongqing 401331, China
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50(12):2998-3006.(In Chinese), articleTitle=Meshing performance analysis of involute cylinder worm and helical gear drive based on media rack, refAbstract=null)], funds=[Fund(id=1241400391389204706, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, awardId=KJZD-K202204401; KJQN202304401; KJQN202404405, language=EN, fundingSource=Science and Technology Project of Chongqing Education Commission(KJZD-K202204401; KJQN202304401; KJQN202404405), fundOrder=null, country=null), Fund(id=1241400391502450917, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, awardId=KJZD-K202204401; KJQN202304401; KJQN202404405, language=CN, fundingSource=重庆市教委科学技术项目(KJZD-K202204401; KJQN202304401; KJQN202404405), fundOrder=null, country=null), Fund(id=1241400391607308524, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, awardId=JD2024Z027, language=EN, fundingSource=Chongqing Education and Scientific Research Experimental Base(JD2024Z027), fundOrder=null, country=null), Fund(id=1241400391707971824, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, awardId=JD2024Z027, language=CN, fundingSource=重庆市教育科研实验基地(JD2024Z027), fundOrder=null, country=null), Fund(id=1241400391787663603, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, awardId=2023XJZX06, language=EN, fundingSource=Chongqing Business Vocational College’s Membrane Separation Environmental Control System Application Technology Promotion Center(2023XJZX06), fundOrder=null, country=null), Fund(id=1241400391938658555, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, awardId=2023XJZX06, language=CN, fundingSource=重庆商务职业学院膜分离环控系统应用技术推广中心(2023XJZX06), fundOrder=null, country=null)], companyList=[AuthorCompany(id=1241400383445193643, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, xref=1., ext=[AuthorCompanyExt(id=1241400383453582252, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, companyId=1241400383445193643, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
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Coordinate system of involute cylindrical worm helical gear pair, figureFileSmall=TPte5YH1tslOigQQXRN39A==, figureFileBig=kF2GnHFzUU+AMWaUIUVFag==, tableContent=null), ArticleFig(id=1241400387530444872, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=图1, caption=
渐开线圆柱蜗杆斜齿轮副坐标系, figureFileSmall=TPte5YH1tslOigQQXRN39A==, figureFileBig=kF2GnHFzUU+AMWaUIUVFag==, tableContent=null), ArticleFig(id=1241400387639496782, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Fig.2, caption=
Noise test bench, figureFileSmall=sJW1eYWCNCKGSQIVZSJriw==, figureFileBig=gD2YbA4aIwLCAEUr673kAQ==, tableContent=null), ArticleFig(id=1241400387735965783, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=图2, caption=
噪声测试试验台, figureFileSmall=sJW1eYWCNCKGSQIVZSJriw==, figureFileBig=gD2YbA4aIwLCAEUr673kAQ==, tableContent=null), ArticleFig(id=1241400387870183519, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Fig.3, caption=
Helical gears with tooth profile modification, figureFileSmall=fp867BHLVKwATGjQ0X+/Nw==, figureFileBig=x4VuUdXSYrN5XagxlyeQ0A==, tableContent=null), ArticleFig(id=1241400387966652518, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=图3, caption=
齿廓修形斜齿轮, figureFileSmall=fp867BHLVKwATGjQ0X+/Nw==, figureFileBig=x4VuUdXSYrN5XagxlyeQ0A==, tableContent=null), ArticleFig(id=1241400388096675947, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Fig.4, caption=
Acceleration spectrum of three types drive pairs of seat adjusters, figureFileSmall=AHVLFi/3BDj1bUpcvuu9ZQ==, figureFileBig=A8kV0L/oNwduOElLO5CfMw==, tableContent=null), ArticleFig(id=1241400388214116469, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=图4, caption=
3类传动副座椅调节器的加速度频谱, figureFileSmall=AHVLFi/3BDj1bUpcvuu9ZQ==, figureFileBig=A8kV0L/oNwduOElLO5CfMw==, tableContent=null), ArticleFig(id=1241400388373500030, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Fig.5, caption=
Spectrum comparison of original and modified products, figureFileSmall=kNvTd2Gc9ehM6MUT2t7fxw==, figureFileBig=Te9VGz/i2nxhghteqkvunw==, tableContent=null), ArticleFig(id=1241400388465774720, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=图5, caption=
现有产品与修形产品频谱对比, figureFileSmall=kNvTd2Gc9ehM6MUT2t7fxw==, figureFileBig=Te9VGz/i2nxhghteqkvunw==, tableContent=null), ArticleFig(id=1241400388558049415, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Fig.6, caption=
Noise reduction test site, figureFileSmall=Zk0kDegILPz1tLzvbleuzQ==, figureFileBig=vPmCTXH0ir9iRWH8BUzoCA==, tableContent=null), ArticleFig(id=1241400388650324107, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=图6, caption=
修形降噪测试现场, figureFileSmall=Zk0kDegILPz1tLzvbleuzQ==, figureFileBig=vPmCTXH0ir9iRWH8BUzoCA==, tableContent=null), ArticleFig(id=1241400388759376016, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Fig.7, caption=
Forward and reverse noise spectrum of 8 sets of products, figureFileSmall=C+b9hX0rJQv90eYAVJnv3A==, figureFileBig=CnCnSVCeStYiUL6JpJ/xnw==, tableContent=null), ArticleFig(id=1241400388843262102, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=图7, caption=
8组产品正、反转噪声频谱, figureFileSmall=C+b9hX0rJQv90eYAVJnv3A==, figureFileBig=CnCnSVCeStYiUL6JpJ/xnw==, tableContent=null), ArticleFig(id=1241400388922953884, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Tab.1, caption=
Parameters of worm helical gear transmission pairs
, figureFileSmall=null, figureFileBig=null, tableContent=
参数 Parameters | 蜗杆Worm | 斜齿轮 Helical gear |
|---|
| 法向模数Normal module /mm | 0.9 |
| 齿数Number of teeth | 2 | 13 |
| 压力角Pressure angle /(°) | 20 | 20 |
| 分度圆半径Reference radius /mm | 8.1 | 12.3 |
| 螺旋角Helix angle /(°) | 77 | 13 |
| 变位系数Modification coefficient | 0 | 0.252 |
| 中心距Center distance /mm | 10.4 |
| 材料Material | 聚醚醚酮 Polyetherether-ketone | 40Cr |
| 加工精度Machining accuracy | 8 | 7 |
), ArticleFig(id=1241400389011034275, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=表1, caption=
蜗杆斜齿轮传动副参数
, figureFileSmall=null, figureFileBig=null, tableContent=
参数 Parameters | 蜗杆Worm | 斜齿轮 Helical gear |
|---|
| 法向模数Normal module /mm | 0.9 |
| 齿数Number of teeth | 2 | 13 |
| 压力角Pressure angle /(°) | 20 | 20 |
| 分度圆半径Reference radius /mm | 8.1 | 12.3 |
| 螺旋角Helix angle /(°) | 77 | 13 |
| 变位系数Modification coefficient | 0 | 0.252 |
| 中心距Center distance /mm | 10.4 |
| 材料Material | 聚醚醚酮 Polyetherether-ketone | 40Cr |
| 加工精度Machining accuracy | 8 | 7 |
), ArticleFig(id=1241400389086531753, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Tab.2, caption=
Acceleration peak and variation of the test products
, figureFileSmall=null, figureFileBig=null, tableContent=
| 试验产品Test product | 正转Forward | 反转Reversal |
|---|
| 现有产品1 Original product 1/(m/s2) | 0.746 | 1.090 |
0.04 mm修形产品1 0.04 mm modified product 1/(m/s2) | 0.622 | 0.716 |
| 变化量Variation/% | -16.62 | -34.31 |
| 现有产品2 Original product 2/(m/s2) | 1.020 | 1.090 |
0.04 mm修形产品2 0.04 mm modified product 2/(m/s2) | 0.768 | 0.875 |
| 变化量Variation/% | -24.70 | -19.72 |
| 现有产品3 Original product 3/(m/s2) | 0.700 | 0.759 |
0.04 mm修形产品3 0.04 mm modified product 3/(m/s2) | 0.548 | 0.605 |
| 变化量Variation/% | -21.70 | -20.29 |
), ArticleFig(id=1241400390592286897, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=表2, caption=
试验产品加速度峰值及变化量
, figureFileSmall=null, figureFileBig=null, tableContent=
| 试验产品Test product | 正转Forward | 反转Reversal |
|---|
| 现有产品1 Original product 1/(m/s2) | 0.746 | 1.090 |
0.04 mm修形产品1 0.04 mm modified product 1/(m/s2) | 0.622 | 0.716 |
| 变化量Variation/% | -16.62 | -34.31 |
| 现有产品2 Original product 2/(m/s2) | 1.020 | 1.090 |
0.04 mm修形产品2 0.04 mm modified product 2/(m/s2) | 0.768 | 0.875 |
| 变化量Variation/% | -24.70 | -19.72 |
| 现有产品3 Original product 3/(m/s2) | 0.700 | 0.759 |
0.04 mm修形产品3 0.04 mm modified product 3/(m/s2) | 0.548 | 0.605 |
| 变化量Variation/% | -21.70 | -20.29 |
), ArticleFig(id=1241400390713921722, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Tab.3, caption=
Acceleration peak of modified worms
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方向 Direction | 修形量Modification amount |
|---|
| 0.01 mm | 0.02 mm | 0.04 mm | 0.08 mm |
|---|
正转 Forward | X/(m/s2) | 0.771 | 0.670 | 0.743 | 0.830 |
| Y/(m/s2) | 0.750 | 0.641 | 0.737 | 0.808 |
| Z/(m/s2) | 0.743 | 0.608 | 0.720 | 0.818 |
反转 Reversal | X/(m/s2) | 0.864 | 0.672 | 0.733 | 0.822 |
| Y/(m/s2) | 0.802 | 0.650 | 0.716 | 0.764 |
| Z/(m/s2) | 0.798 | 0.636 | 0.702 | 0.750 |
), ArticleFig(id=1241400390793613507, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=表3, caption=
修形蜗杆加速度峰值
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方向 Direction | 修形量Modification amount |
|---|
| 0.01 mm | 0.02 mm | 0.04 mm | 0.08 mm |
|---|
正转 Forward | X/(m/s2) | 0.771 | 0.670 | 0.743 | 0.830 |
| Y/(m/s2) | 0.750 | 0.641 | 0.737 | 0.808 |
| Z/(m/s2) | 0.743 | 0.608 | 0.720 | 0.818 |
反转 Reversal | X/(m/s2) | 0.864 | 0.672 | 0.733 | 0.822 |
| Y/(m/s2) | 0.802 | 0.650 | 0.716 | 0.764 |
| Z/(m/s2) | 0.798 | 0.636 | 0.702 | 0.750 |
), ArticleFig(id=1241400390885888198, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Tab.4, caption=
Noise values of 8 sets of products
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方向 Direction | 对标产品1 Benchmarking product 1 | 对标产品2 Benchmarking product 2 | 试验产品1 Test product 1 | 试验产品2 Test product 2 | 试验产品3 Test product 3 | 试验产品4 Test product 4 | 试验产品5 Test product 5 | 试验产品6 Test product 6 |
|---|
| 正转Forward | 32.4 | 36.2 | 36.6 | 32.3 | 35.2 | 33.1 | 34.5 | 37.8 |
| 反转Reversal | 33.7 | 31.7 | 34.5 | 29.5 | 34.3 | 36.0 | 32.6 | 35.3 |
), ArticleFig(id=1241400390994940109, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=表4, caption=
8组产品工装试验噪声值
, figureFileSmall=null, figureFileBig=null, tableContent=
方向 Direction | 对标产品1 Benchmarking product 1 | 对标产品2 Benchmarking product 2 | 试验产品1 Test product 1 | 试验产品2 Test product 2 | 试验产品3 Test product 3 | 试验产品4 Test product 4 | 试验产品5 Test product 5 | 试验产品6 Test product 6 |
|---|
| 正转Forward | 32.4 | 36.2 | 36.6 | 32.3 | 35.2 | 33.1 | 34.5 | 37.8 |
| 反转Reversal | 33.7 | 31.7 | 34.5 | 29.5 | 34.3 | 36.0 | 32.6 | 35.3 |
), ArticleFig(id=1241400391074631888, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Tab.5, caption=
Acceleration peaks of 8 sets of products
, figureFileSmall=null, figureFileBig=null, tableContent=
方向 Direction | 对标产品1 Benchmarking product 1 | 对标产品2 Benchmarking product 2 | 试验产品1 Test product 1 | 试验产品2 Test product 2 | 试验产品3 Test product 3 | 试验产品4 Test product 4 | 试验产品5 Test product 5 | 试验产品6 Test product 6 |
|---|
| 正转Forward | X/(m/s2) | 0.22 | 0.22 | 0.37 | 0.14 | 0.28 | 0.28 | 0.40 | 0.19 |
| Y/(m/s2) | 0.02 | 0.05 | 0.04 | 0.03 | 0.07 | 0.30 | 0.02 | 0.05 |
| Z/(m/s2) | 0.38 | 0.25 | 0.30 | 0.30 | 0.23 | 0.21 | 0.36 | 0.30 |
| 反转Reversal | X/(m/s2) | 0.34 | 0.16 | 0.38 | 0.30 | 0.30 | 0.20 | 0.17 | 0.38 |
| Y/(m/s2) | 0.02 | 0.04 | 0.10 | 0.10 | 0.07 | 0.20 | 0.06 | 0.02 |
| Z/(m/s2) | 0.43 | 0.40 | 0.34 | 0.12 | 0.30 | 0.13 | 0.13 | 0.17 |
), ArticleFig(id=1241400391183683798, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=表5, caption=
8组产品加速度峰值
, figureFileSmall=null, figureFileBig=null, tableContent=
方向 Direction | 对标产品1 Benchmarking product 1 | 对标产品2 Benchmarking product 2 | 试验产品1 Test product 1 | 试验产品2 Test product 2 | 试验产品3 Test product 3 | 试验产品4 Test product 4 | 试验产品5 Test product 5 | 试验产品6 Test product 6 |
|---|
| 正转Forward | X/(m/s2) | 0.22 | 0.22 | 0.37 | 0.14 | 0.28 | 0.28 | 0.40 | 0.19 |
| Y/(m/s2) | 0.02 | 0.05 | 0.04 | 0.03 | 0.07 | 0.30 | 0.02 | 0.05 |
| Z/(m/s2) | 0.38 | 0.25 | 0.30 | 0.30 | 0.23 | 0.21 | 0.36 | 0.30 |
| 反转Reversal | X/(m/s2) | 0.34 | 0.16 | 0.38 | 0.30 | 0.30 | 0.20 | 0.17 | 0.38 |
| Y/(m/s2) | 0.02 | 0.04 | 0.10 | 0.10 | 0.07 | 0.20 | 0.06 | 0.02 |
| Z/(m/s2) | 0.43 | 0.40 | 0.34 | 0.12 | 0.30 | 0.13 | 0.13 | 0.17 |
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