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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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CHEN Yan, E-mail:
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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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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:

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2.四川大学 空天科学与工程学院,成都 610207
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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 /mm0.9
齿数Number of teeth213
压力角Pressure angle /(°)2020
分度圆半径Reference radius /mm8.112.3
螺旋角Helix angle /(°)7713
变位系数Modification coefficient00.252
中心距Center distance /mm10.4
材料Material聚醚醚酮
Polyetherether-ketone
40Cr
加工精度Machining accuracy87
), 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 /mm0.9
齿数Number of teeth213
压力角Pressure angle /(°)2020
分度圆半径Reference radius /mm8.112.3
螺旋角Helix angle /(°)7713
变位系数Modification coefficient00.252
中心距Center distance /mm10.4
材料Material聚醚醚酮
Polyetherether-ketone
40Cr
加工精度Machining accuracy87
), 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/s20.7461.090
0.04 mm修形产品1
0.04 mm modified product 1/(m/s2
0.6220.716
变化量Variation/%-16.62-34.31
现有产品2 Original product 2/(m/s21.0201.090
0.04 mm修形产品2
0.04 mm modified product 2/(m/s2
0.7680.875
变化量Variation/%-24.70-19.72
现有产品3 Original product 3/(m/s20.7000.759
0.04 mm修形产品3
0.04 mm modified product 3/(m/s2
0.5480.605
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/s20.7461.090
0.04 mm修形产品1
0.04 mm modified product 1/(m/s2
0.6220.716
变化量Variation/%-16.62-34.31
现有产品2 Original product 2/(m/s21.0201.090
0.04 mm修形产品2
0.04 mm modified product 2/(m/s2
0.7680.875
变化量Variation/%-24.70-19.72
现有产品3 Original product 3/(m/s20.7000.759
0.04 mm修形产品3
0.04 mm modified product 3/(m/s2
0.5480.605
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 mm0.02 mm0.04 mm0.08 mm
正转
Forward
X/(m/s20.7710.6700.7430.830
Y/(m/s20.7500.6410.7370.808
Z/(m/s20.7430.6080.7200.818
反转
Reversal
X/(m/s20.8640.6720.7330.822
Y/(m/s20.8020.6500.7160.764
Z/(m/s20.7980.6360.7020.750
), ArticleFig(id=1241400390793613507, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=CN, label=表3, caption=

修形蜗杆加速度峰值

, figureFileSmall=null, figureFileBig=null, tableContent=
方向
Direction
修形量Modification amount
0.01 mm0.02 mm0.04 mm0.08 mm
正转
Forward
X/(m/s20.7710.6700.7430.830
Y/(m/s20.7500.6410.7370.808
Z/(m/s20.7430.6080.7200.818
反转
Reversal
X/(m/s20.8640.6720.7330.822
Y/(m/s20.8020.6500.7160.764
Z/(m/s20.7980.6360.7020.750
), ArticleFig(id=1241400390885888198, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241394833294684315, language=EN, label=Tab.4, caption=

Noise values 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Forward32.436.236.632.335.233.134.537.8
反转Reversal33.731.734.529.534.336.032.635.3
), 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Forward32.436.236.632.335.233.134.537.8
反转Reversal33.731.734.529.534.336.032.635.3
), 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ForwardX/(m/s20.220.220.370.140.280.280.400.19
Y/(m/s20.020.050.040.030.070.300.020.05
Z/(m/s20.380.250.300.300.230.210.360.30
反转ReversalX/(m/s20.340.160.380.300.300.200.170.38
Y/(m/s20.020.040.100.100.070.200.060.02
Z/(m/s20.430.400.340.120.300.130.130.17
), 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ForwardX/(m/s20.220.220.370.140.280.280.400.19
Y/(m/s20.020.050.040.030.070.300.020.05
Z/(m/s20.380.250.300.300.230.210.360.30
反转ReversalX/(m/s20.340.160.380.300.300.200.170.38
Y/(m/s20.020.040.100.100.070.200.060.02
Z/(m/s20.430.400.340.120.300.130.130.17
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汽车电动座椅调节器中蜗杆斜齿轮副降噪测试
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陈燕 1, 2, 3 , 王文韬 4 , 蒲云 1, 3
机械强度 | 振动·噪声·监测·诊断 2025,47(5): 71-79
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机械强度 | 振动·噪声·监测·诊断 2025, 47(5): 71-79
汽车电动座椅调节器中蜗杆斜齿轮副降噪测试
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陈燕1, 2, 3 , 王文韬4, 蒲云1, 3
作者信息
  • 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
  • 3.重庆市商务经济研究院,重庆 401331
  • 4.深圳蓝蓝科技有限公司,深圳 518000
  • 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:

Noise reduction test of worm helical gear pair in automobile electric seat adjuster
Yan CHEN1, 2, 3 , Wentao WANG4, Yun PU1, 3
Affiliations
  • 1.School of Artificial Intelligence, Chongqing Business Vocational College, Chongqing 401331, China
  • 2.School of Aeronautics & Astronautics, Sichuan University, Chengdu 610207, China
  • 3.Chongqing Institute of Commerce and Economics, Chongqing 401331, China
  • 4.Shenzhen Lanlan Technology Co., Ltd., Shenzhen 518000, China
出版时间: 2025-05-15 doi: 10.16579/j.issn.1001.9669.2025.05.009
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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。

座椅调节器  /  蜗杆  /  斜齿轮  /  齿廓修形  /  降噪

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.

Seat adjuster  /  Worm  /  Helical gear  /  Tooth profile modification  /  Noise reduction
陈燕, 王文韬, 蒲云. 汽车电动座椅调节器中蜗杆斜齿轮副降噪测试. 机械强度, 2025 , 47 (5) : 71 -79 . DOI: 10.16579/j.issn.1001.9669.2025.05.009
Yan CHEN, Wentao WANG, Yun PU. Noise reduction test of worm helical gear pair in automobile electric seat adjuster[J]. Journal of Mechanical Strength, 2025 , 47 (5) : 71 -79 . DOI: 10.16579/j.issn.1001.9669.2025.05.009
随着车辆技术的进步和客户需求的改变,汽车配置越来越高,电动座椅几乎成为国内汽车品牌的标配,但国内汽车电动座椅水平驱动器普遍存在调整过程噪声大的问题。
为解决汽车电动座椅调节器的噪声问题,国内外专家学者从噪声来源、核心传动部件、传动件材料等方面对电动座椅调节器做了系统研究。武海强等[1]对汽车座椅噪声检测准确性问题做了研究,通过试验证实了基于奇异值分解的随机共振联合去噪法可高效准确采集信号频率,检测出微弱信号。LIANG等[2]分析了汽车座椅结构及部件可能的噪声来源,开发了汽车座椅噪声评估系统,并对不同载荷下的噪声进行了检测和评价。JEONG等[3]利用相干性分析,对汽车座椅噪声源进行了分析,认为噪声源主要来自传动系统及电动机。王明祥等[4]发明了一种汽车座椅调整的精确传动机构,可增强稳定性,确保传动的静音效果。李传闪等[5-6]对汽车座椅调节器中塑料蜗杆与钢制斜齿轮的材料配对进行了有限元模拟和试验验证,结果表明塑料蜗杆斜齿轮传动降噪效果良好,同时具有优异的耐磨特性。杜旭[7]用塑料斜齿轮替代金属蜗轮,分析了塑料斜齿轮蜗杆副对座椅调节器啮合噪声的影响。此外,还有不少学者对汽车传动系统及座椅调节器本身的综合性能及蜗杆传动副的接触特性、加工精度等进行了数值分析及有限元模拟[8-10],旨在降低噪声、提升舒适性。
从上述研究发现,汽车座椅调节器的噪声大多源自其传动系统,尤其是蜗杆斜齿轮啮合过程中的冲击对噪声的影响较大,为减少啮合冲击,提出对蜗杆和斜齿轮进行齿廓修形以减振降噪。建立蜗杆斜齿轮副数学模型,根据数学模型建立传动副的三维精确模型,加工不同修形量的蜗杆和斜齿轮样件,搭建噪声测试试验台,测试原模型和修形模型加速度频谱,验证传动副齿廓修形降噪方法的有效性,掌握降噪数值的变化量,为实际应用提供理论和试验参考。
建立渐开线圆柱蜗杆斜齿轮副的坐标系,如图1所示。σp(op-xpypzp)、σt(ot-xtytzt)为固定标架,σ1(o1-x1y1z1)与蜗杆固连,σ2(o2-x2y2z2)与斜齿轮固连,ω1为蜗杆角速度,ω2为斜齿轮角速度,a为中心距,φ1φ2分别为某时刻蜗杆和斜齿轮的角位移。
陈燕等[11]利用媒介齿条法详细探讨了渐开线圆柱蜗杆斜齿轮副的啮合数学模型,在此仅给出渐开线圆柱蜗杆齿面方程,为
式中,rb1δ1分别为蜗杆基圆半径和螺旋升角;u1p1θ1分别为蜗杆渐开线参数、螺旋参数和齿面参数;i1j1k1为单位方向矢量。
斜齿轮齿面方程为
式中,rb2u2p2θ2分别为斜齿轮基圆半径、渐开线参数、螺旋参数和齿面参数;i2j2k2为单位方向矢量。
基于齿廓修形理论,提出对斜齿轮进行齿廓修形,以减少啮合冲击、降低振动噪声。为验证上述降噪方案的可行性,搭建噪声测试试验台,装配传动副座椅调节器,测试原有传动副和修形传动副座椅调节器的噪声。
根据电动座椅调节器在实际滑轨中的安装情况搭建测试试验台,如图2(a)所示。驱动电动机转速为3 000 r/min,带动电动座椅调节器回转,在电动座椅调节器输出端轴承座上搭载BK三向加速度传感器,用加速度值度量噪声值,通过BK3050-60型前端采集器采集加速度的测试数据,用Pulse Lapshop测试软件分析数据,采样频率取10 kHz。
汽车电动座椅水平驱动器中蜗杆斜齿轮传动副的基本参数如表1所示。
根据数学模型分别建立采用Walker修形曲线和修形长度为1.06 mm且修形量分别取0.02、0.04 mm的渐开线齿轮精确三维模型,并在加工中心上加工修形斜齿轮各1个(图3),测试0.02、0.04 mm的斜齿轮修形降噪效果。从现有产品中随意抽取1个原斜齿轮产品,保持其他零部件不变,分别将原斜齿轮产品、0.02 mm修形量斜齿轮和0.04 mm修形量斜齿轮与蜗杆进行装配,再安装到图2所示的测试试验台中,测得3类传动副座椅调节器正反转的加速度频谱(仅取最大值方向),如图4所示。由图4可知,原斜齿轮传动副在径向的振动加速度最大,正转方向最大值为1.04 m/s2,反转方向为0.705 m/s2,最大值处的频率为700 Hz;与原斜齿轮蜗杆副相比,0.02 mm修形量斜齿轮搭配蜗杆传动副座椅调节器振动加速最大值也出现在径向,即减速器的中心距方向[图2(c)中的X方向],正转时最大加速度略有变大,最大值处频率为600 Hz,反转时有所减小,最大值处的频率为800 Hz;0.04 mm修形量斜齿轮搭配蜗杆传动副座椅调节器振动加速最大值依然出现在径向,正转时加速度从1.04 m/s2下降到0.6 m/s2,反转时最大加速度从0.705 m/s2下降到0.41 m/s2,正反转的加速度均明显减小,初步验证了齿廓修形降噪的可行性。
上文初步验证了0.04 mm修形斜齿轮降噪的可行性,为评估降噪效果的通用性和普遍性,先从原座椅调节器产品中随意抽取3个产品,命名为现有产品1、现有产品2、现有产品3,测试其加速度频谱;再分别将3个现有产品中的斜齿轮替换为0.04 mm修形斜齿轮,再次测试修形产品的加速度频谱。测得现有产品和修形产品的加速度频谱最大值均出现在径向。各产品的加速度峰值及对比变化量如表2所示。由图5表2可知,3组现有产品中,将原有斜齿轮更换为0.04 mm修形斜齿轮时,正反转加速度频谱均明显下降,变化量减少占比在16%~35%,这证明对斜齿轮进行齿廓修形,以减少啮合冲击和降低振动噪声的方案可行。
同理,为测试蜗杆齿廓不同修形量对噪声的影响,设计并加工修形量分别为0.01、0.02、0.04、0.08 mm的4类蜗杆,与无修形斜齿轮配对,保持其他零部件不变,测试座椅调节器在正反转时的加速度频谱,3个方向的加速度峰值如表3所示,方向示意如图6所示。由表3可知,不同的蜗杆修形量对座椅调节器加速度峰值影响较大,过大或过小修形量的降噪效果均不佳,4组试验修形量值中,0.02 mm修形量蜗杆的降噪效果较好。
基于上述试验结果,选取单因素下的较优组合,斜齿轮修形量0.04 mm、蜗杆修形量0.02 mm,装配座椅调节,在试验台上进行噪声和振动测试,如图6所示。试验过程中,通过麦克风采集器采集频域噪声值,通过振动传感器采集3个方向的频域振动值,通过噪声和振动值可综合评判修形量对降噪的有效性。
为了测试验证修形降噪有效的普遍性,装配了相同修形量的6套试验产品;为了对比验证降噪的效果,额外选取了2组对标产品(公认的达标产品,试验样件以此达标产品的噪声值为降噪目标)进行同样的测试,以作为对比参照,8组产品在正转和反转时的噪声频谱和噪声峰值分别如图7表4所示,3个方向的频域振动加速度峰值如表5所示。
图7表4可以看出,6组试验产品中,4组产品的正、反转噪声都在36 dB以内,优于对标产品的最大噪声值36.2 dB,另外两组试验的最大噪声分别为36.6、37.8 dB,略微差于对标产品;但6套试验产品中噪声最大值与对标产品噪声最大值之差在1.6 dB以内,6套试验产品中噪声最小值比对标产品噪声最小值更优。由表5可以看出,6套产品的加速度峰值与前述现有产品加速度峰值相比,明显降低,且与2套对标产品基本持平。由此可见,试验产品相较于原产品的加速度峰值明显下降,验证了蜗杆斜齿轮副齿廓修形降噪的可行性。
针对汽车座椅调节器中的蜗杆斜齿轮副,建立其数学模型,加工不同修形量的蜗杆和斜齿轮,组装测试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,进行齿廓修形后的整机降噪测试。得到结论如下:
1)蜗杆、斜齿轮的修形量数值对加速度频谱影响较大,应按照产品尺寸选取合适的修形量,传动副齿廓修形对减振降噪有效。
2)斜齿轮、蜗杆的修形量分别取0.04、0.02 mm下的6套座椅调节器加速度峰值较原产品下降明显,试验产品的最大噪声与对标产品的最大噪声差值在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。
  • 重庆市教委科学技术项目(KJZD-K202204401; KJQN202304401; KJQN202404405)
  • 重庆市教育科研实验基地(JD2024Z027)
  • 重庆商务职业学院膜分离环控系统应用技术推广中心(2023XJZX06)
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2025年第47卷第5期
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doi: 10.16579/j.issn.1001.9669.2025.05.009
  • 接收时间:2023-04-26
  • 首发时间:2026-03-19
  • 出版时间:2025-05-15
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  • 收稿日期:2023-04-26
  • 修回日期:2023-06-12
基金
Science and Technology Project of Chongqing Education Commission(KJZD-K202204401; KJQN202304401; KJQN202404405)
重庆市教委科学技术项目(KJZD-K202204401; KJQN202304401; KJQN202404405)
Chongqing Education and Scientific Research Experimental Base(JD2024Z027)
重庆市教育科研实验基地(JD2024Z027)
Chongqing Business Vocational College’s Membrane Separation Environmental Control System Application Technology Promotion Center(2023XJZX06)
重庆商务职业学院膜分离环控系统应用技术推广中心(2023XJZX06)
作者信息
    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
    3.重庆市商务经济研究院,重庆 401331
    4.深圳蓝蓝科技有限公司,深圳 518000
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2种不同金属材料的力学参数

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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
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