Journal of Northeastern University(Natural Science) ›› 2025, Vol. 46 ›› Issue (1): 83-91.DOI: 10.12068/j.issn.1005-3026.2025.20230225
• Mechanical Engineering • Previous Articles Next Articles
Ming LIU1, Peng-fei WANG1, Hong GUAN1, Hui MA1,2
Received:
2023-07-27
Online:
2025-01-15
Published:
2025-03-25
CLC Number:
Ming LIU, Peng-fei WANG, Hong GUAN, Hui MA. Sensitivity Analysis of Deep Groove Ball Bearings with Coupling Misalignment[J]. Journal of Northeastern University(Natural Science), 2025, 46(1): 83-91.
参数 | 值 |
---|---|
内滚道半径rb/mm | 62.18 |
外滚道半径Rb/mm | 82.82 |
滚珠直径db/mm | 10.319 |
滚珠个数Nb | 13 |
轴承径向间隙cr/μm | 8 |
内、外滚道曲率半径系数fi, fo | 0.517 |
初始接触角α0/(º) | 0 |
Table 1 Parameters of the deep groove ball bearing
参数 | 值 |
---|---|
内滚道半径rb/mm | 62.18 |
外滚道半径Rb/mm | 82.82 |
滚珠直径db/mm | 10.319 |
滚珠个数Nb | 13 |
轴承径向间隙cr/μm | 8 |
内、外滚道曲率半径系数fi, fo | 0.517 |
初始接触角α0/(º) | 0 |
因素 | 水平 | |||
---|---|---|---|---|
1 | 2 | 3 | 4 | |
Sa/μm | 10 | 20 | 30 | 40 |
Sr/μm | 5 | 10 | 15 | 20 |
φo/(º) | 0.02 | 0.04 | 0.06 | 0.08 |
Table 2 Orthogonal experiment scheme
因素 | 水平 | |||
---|---|---|---|---|
1 | 2 | 3 | 4 | |
Sa/μm | 10 | 20 | 30 | 40 |
Sr/μm | 5 | 10 | 15 | 20 |
φo/(º) | 0.02 | 0.04 | 0.06 | 0.08 |
试验号 | Sa/μm | Sr/μm | φo/(º) | 最大接触力/N | X加速度峰峰值/(m·s-2) | Y加速度峰峰值/(m·s-2) | Z加速度峰峰值/(m·s-2) |
---|---|---|---|---|---|---|---|
1 | 10 | 5 | 0.02 | 57.3 | 2.855 | 2.990 | 0.106 |
2 | 10 | 10 | 0.04 | 113.8 | 3.858 | 5.365 | 0.329 |
3 | 10 | 15 | 0.06 | 177.6 | 5.947 | 9.966 | 0.791 |
4 | 10 | 20 | 0.08 | 249.7 | 8.788 | 13.990 | 1.310 |
5 | 20 | 5 | 0.04 | 77.3 | 2.449 | 4.334 | 0.306 |
6 | 20 | 10 | 0.02 | 107.7 | 3.466 | 5.789 | 0.303 |
7 | 20 | 15 | 0.08 | 219.3 | 7.593 | 13.710 | 1.548 |
8 | 20 | 20 | 0.06 | 234.7 | 8.323 | 11.520 | 1.215 |
9 | 30 | 5 | 0.06 | 111.6 | 3.870 | 5.587 | 0.625 |
10 | 30 | 10 | 0.08 | 190.2 | 6.697 | 10.900 | 1.381 |
11 | 30 | 15 | 0.02 | 157.4 | 5.655 | 7.829 | 0.543 |
12 | 30 | 20 | 0.04 | 220.8 | 7.678 | 11.420 | 1.067 |
13 | 40 | 5 | 0.08 | 162.3 | 5.467 | 8.887 | 1.229 |
14 | 40 | 10 | 0.06 | 172.4 | 6.030 | 9.263 | 1.150 |
15 | 40 | 15 | 0.04 | 187.2 | 7.060 | 9.822 | 1.068 |
16 | 40 | 20 | 0.02 | 206.7 | 8.100 | 8.763 | 1.011 |
Table 3 Orthogonal experiment results
试验号 | Sa/μm | Sr/μm | φo/(º) | 最大接触力/N | X加速度峰峰值/(m·s-2) | Y加速度峰峰值/(m·s-2) | Z加速度峰峰值/(m·s-2) |
---|---|---|---|---|---|---|---|
1 | 10 | 5 | 0.02 | 57.3 | 2.855 | 2.990 | 0.106 |
2 | 10 | 10 | 0.04 | 113.8 | 3.858 | 5.365 | 0.329 |
3 | 10 | 15 | 0.06 | 177.6 | 5.947 | 9.966 | 0.791 |
4 | 10 | 20 | 0.08 | 249.7 | 8.788 | 13.990 | 1.310 |
5 | 20 | 5 | 0.04 | 77.3 | 2.449 | 4.334 | 0.306 |
6 | 20 | 10 | 0.02 | 107.7 | 3.466 | 5.789 | 0.303 |
7 | 20 | 15 | 0.08 | 219.3 | 7.593 | 13.710 | 1.548 |
8 | 20 | 20 | 0.06 | 234.7 | 8.323 | 11.520 | 1.215 |
9 | 30 | 5 | 0.06 | 111.6 | 3.870 | 5.587 | 0.625 |
10 | 30 | 10 | 0.08 | 190.2 | 6.697 | 10.900 | 1.381 |
11 | 30 | 15 | 0.02 | 157.4 | 5.655 | 7.829 | 0.543 |
12 | 30 | 20 | 0.04 | 220.8 | 7.678 | 11.420 | 1.067 |
13 | 40 | 5 | 0.08 | 162.3 | 5.467 | 8.887 | 1.229 |
14 | 40 | 10 | 0.06 | 172.4 | 6.030 | 9.263 | 1.150 |
15 | 40 | 15 | 0.04 | 187.2 | 7.060 | 9.822 | 1.068 |
16 | 40 | 20 | 0.02 | 206.7 | 8.100 | 8.763 | 1.011 |
rij | 最大接触力的变化幅度 | ||
---|---|---|---|
轴向不对中 | 平行不对中 | 角不对中 | |
r1j | 598.4 | 408.5 | 529.1 |
r2j | 639.0 | 584.1 | 599.1 |
r3j | 680.0 | 741.5 | 696.3 |
r4j | 728.6 | 911.9 | 821.5 |
Table 4 Variation magnitude of the maximum contact force at different levels
rij | 最大接触力的变化幅度 | ||
---|---|---|---|
轴向不对中 | 平行不对中 | 角不对中 | |
r1j | 598.4 | 408.5 | 529.1 |
r2j | 639.0 | 584.1 | 599.1 |
r3j | 680.0 | 741.5 | 696.3 |
r4j | 728.6 | 911.9 | 821.5 |
因素 | 自由度 | 偏差平方和Sj | 均方 | 影响因子Fj |
---|---|---|---|---|
总偏差平方和 | 15 | 49 164.38 | — | — |
轴向不对中 | 3 | 2 332.56 | 777.52 | 39.80 |
平行不对中 | 3 | 34 773.15 | 11 591.05 | 593.40 |
角不对中 | 3 | 12 058.67 | 4 019.56 | 205.78 |
Table 5 Significance of variance analysis and influence factors
因素 | 自由度 | 偏差平方和Sj | 均方 | 影响因子Fj |
---|---|---|---|---|
总偏差平方和 | 15 | 49 164.38 | — | — |
轴向不对中 | 3 | 2 332.56 | 777.52 | 39.80 |
平行不对中 | 3 | 34 773.15 | 11 591.05 | 593.40 |
角不对中 | 3 | 12 058.67 | 4 019.56 | 205.78 |
rij | 加速度峰峰值的变化幅度 | ||
---|---|---|---|
轴向不对中 | 平行不对中 | 角不对中 | |
r1j | 21.448 | 14.641 | 20.076 |
r2j | 21.831 | 20.051 | 21.045 |
r3j | 23.900 | 26.255 | 24.170 |
r4j | 26.657 | 32.889 | 28.545 |
Table 6 Magnitude of the change in peak‑to‑peak values of X direction acceleration at different levels
rij | 加速度峰峰值的变化幅度 | ||
---|---|---|---|
轴向不对中 | 平行不对中 | 角不对中 | |
r1j | 21.448 | 14.641 | 20.076 |
r2j | 21.831 | 20.051 | 21.045 |
r3j | 23.900 | 26.255 | 24.170 |
r4j | 26.657 | 32.889 | 28.545 |
因素 | 自由度 | 偏差平方和Sj | 均方 | 影响因子Fj |
---|---|---|---|---|
总偏差平方和 | 15 | 62.7 | — | — |
轴向不对中 | 3 | 4.28 | 1.43 | 8.70 |
平行不对中 | 3 | 46.53 | 15.51 | 94.55 |
角不对中 | 3 | 10.91 | 3.64 | 22.17 |
Table 7 Significance of variance analysis and
因素 | 自由度 | 偏差平方和Sj | 均方 | 影响因子Fj |
---|---|---|---|---|
总偏差平方和 | 15 | 62.7 | — | — |
轴向不对中 | 3 | 4.28 | 1.43 | 8.70 |
平行不对中 | 3 | 46.53 | 15.51 | 94.55 |
角不对中 | 3 | 10.91 | 3.64 | 22.17 |
rij | 加速度峰峰值的变化幅度 | ||
---|---|---|---|
轴向不对中 | 平行不对中 | 角不对中 | |
r1j | 32.311 | 21.798 | 28.618 |
r2j | 35.353 | 31.317 | 30.941 |
r3j | 35.736 | 41.327 | 36.336 |
r4j | 39.982 | 48.940 | 47.487 |
Table 8 Magnitude of the change in peak‑to‑peak values of Y direction acceleration at different levels
rij | 加速度峰峰值的变化幅度 | ||
---|---|---|---|
轴向不对中 | 平行不对中 | 角不对中 | |
r1j | 32.311 | 21.798 | 28.618 |
r2j | 35.353 | 31.317 | 30.941 |
r3j | 35.736 | 41.327 | 36.336 |
r4j | 39.982 | 48.940 | 47.487 |
因素 | 自由度 | 偏差平方和Sj | 均方 | 影响因子Fj |
---|---|---|---|---|
总偏差平方和 | 15 | 168.06 | — | — |
轴向不对中 | 3 | 7.46 | 2.49 | 5.44 |
平行不对中 | 3 | 104.84 | 34.95 | 76.34 |
角不对中 | 3 | 53.01 | 17.67 | 38.60 |
Table 9 Significance of variance analysis and
因素 | 自由度 | 偏差平方和Sj | 均方 | 影响因子Fj |
---|---|---|---|---|
总偏差平方和 | 15 | 168.06 | — | — |
轴向不对中 | 3 | 7.46 | 2.49 | 5.44 |
平行不对中 | 3 | 104.84 | 34.95 | 76.34 |
角不对中 | 3 | 53.01 | 17.67 | 38.60 |
rij | 加速度峰峰值的变化幅度 | ||
---|---|---|---|
轴向不对中 | 平行不对中 | 角不对中 | |
r1j | 2.535 | 2.265 | 1.962 |
r2j | 3.371 | 3.162 | 2.769 |
r3j | 3.615 | 3.949 | 3.780 |
r4j | 4.458 | 4.603 | 5.468 |
Table 10 Magnitude of the change in peak‑to‑peak values of Z direction acceleration at different levels
rij | 加速度峰峰值的变化幅度 | ||
---|---|---|---|
轴向不对中 | 平行不对中 | 角不对中 | |
r1j | 2.535 | 2.265 | 1.962 |
r2j | 3.371 | 3.162 | 2.769 |
r3j | 3.615 | 3.949 | 3.780 |
r4j | 4.458 | 4.603 | 5.468 |
因素 | 自由度 | 偏差平方和Sj | 均方 | 影响因子Fj |
---|---|---|---|---|
总偏差平方和 | 15 | 13.22 | — | — |
轴向不对中 | 3 | 0.47 | 0.16 | 11.34 |
平行不对中 | 3 | 0.76 | 0.26 | 18.46 |
角不对中 | 3 | 1.71 | 0.57 | 41.38 |
Table 11 Significance of variance analysis and
因素 | 自由度 | 偏差平方和Sj | 均方 | 影响因子Fj |
---|---|---|---|---|
总偏差平方和 | 15 | 13.22 | — | — |
轴向不对中 | 3 | 0.47 | 0.16 | 11.34 |
平行不对中 | 3 | 0.76 | 0.26 | 18.46 |
角不对中 | 3 | 1.71 | 0.57 | 41.38 |
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