CIESC Journal ›› 2024, Vol. 75 ›› Issue (12): 4689-4701.DOI: 10.11949/0438-1157.20240579
• Surface and interface engineering • Previous Articles Next Articles
Zhichao GONG(), Shuangxi LI(
), Fangjun LI, Zesheng HUANG, Keying XIAO
Received:
2024-05-30
Revised:
2024-08-15
Online:
2025-01-03
Published:
2024-12-25
Contact:
Shuangxi LI
通讯作者:
李双喜
作者简介:
弓志超(1999—),男,硕士研究生,g563644513@163.com
CLC Number:
Zhichao GONG, Shuangxi LI, Fangjun LI, Zesheng HUANG, Keying XIAO. Multi-objective optimization and performance analysis of structural parameters of open stern shaft lip seal[J]. CIESC Journal, 2024, 75(12): 4689-4701.
弓志超, 李双喜, 李方俊, 黄泽盛, 肖可应. 开启式艉轴唇形密封结构参数多目标优化及性能分析[J]. 化工学报, 2024, 75(12): 4689-4701.
参数 | 数值 |
---|---|
唇口腰厚 t/mm | 2.32 |
前唇角 α/(°) | 35~55 |
后唇角 β/(°) | 20~40 |
单边过盈量δ/mm | 0.2~2.0 |
固定端转角γ/(°) | 15 |
唇尖内径DC1/mm | 297.0 |
装配轴直径 DC/mm | 300.0 |
吊带弹簧径向尺寸DC2/mm | 315.0 |
Table 1 Lip seal rubber ring structure size
参数 | 数值 |
---|---|
唇口腰厚 t/mm | 2.32 |
前唇角 α/(°) | 35~55 |
后唇角 β/(°) | 20~40 |
单边过盈量δ/mm | 0.2~2.0 |
固定端转角γ/(°) | 15 |
唇尖内径DC1/mm | 297.0 |
装配轴直径 DC/mm | 300.0 |
吊带弹簧径向尺寸DC2/mm | 315.0 |
设计变量 | 上限 | 下限 |
---|---|---|
α/(°) | 50 | 45 |
β/(°) | 40 | 30 |
δ/mm | 0.5 | 1.5 |
FS/N | 80 | 60 |
Phs/MPa | 0.15 | 0 |
n/(r/min) | 800 | 0 |
Table 2 Range of values for design variables
设计变量 | 上限 | 下限 |
---|---|---|
α/(°) | 50 | 45 |
β/(°) | 40 | 30 |
δ/mm | 0.5 | 1.5 |
FS/N | 80 | 60 |
Phs/MPa | 0.15 | 0 |
n/(r/min) | 800 | 0 |
No. | α/(°) | β/(°) | δ/mm | FS/N | Phs/MPa | n/ (r/min) | Wr/ (N·m) | ωm /mg | σH /MPa |
---|---|---|---|---|---|---|---|---|---|
1 | 48 | 37 | 1.2 | 70 | 0.14 | 100 | 15 | 7.4 | 0.049 |
2 | 50 | 39 | 0.8 | 64 | 0.04 | 400 | 12 | 5.2 | 0.008 |
3 | 46 | 40 | 0.5 | 68 | 0.08 | 150 | 10.3 | 4.3 | 0.006 |
4 | 45 | 32 | 1.3 | 72 | 0.06 | 300 | 13 | 5.9 | 0.009 |
5 | 47 | 30 | 1.5 | 76 | 0.12 | 200 | 16 | 7.8 | 0.013 |
6 | 49 | 33 | 0.9 | 80 | 0.09 | 450 | 12 | 5.4 | 0.009 |
7 | 45 | 40 | 1.5 | 70 | 0.10 | 500 | 19 | 9.1 | 0.020 |
8 | 46 | 31 | 1.0 | 74 | 0.13 | 600 | 13 | 5.5 | 0.036 |
9 | 48 | 38 | 0.7 | 66 | 0.15 | 750 | 13 | 5.8 | 0.052 |
10 | 46 | 35 | 0.6 | 65 | 0.05 | 500 | 10 | 4.2 | 0.006 |
11 | 50 | 40 | 1.1 | 61 | 0.12 | 550 | 16 | 8.2 | 0.017 |
12 | 45 | 30 | 1.4 | 71 | 0.07 | 800 | 16 | 8.6 | 0.018 |
13 | 45 | 36 | 1.5 | 77 | 0.14 | 650 | 21 | 9.5 | 0.050 |
14 | 48 | 40 | 0.5 | 69 | 0.11 | 500 | 12 | 5.6 | 0.009 |
15 | 49 | 34 | 0.8 | 79 | 0.15 | 700 | 19 | 9.3 | 0.055 |
Table 3 Optimal Latin hypercube sampling and numerical simulation results after switching on (backpressure gas pressure: 0.160 MPa)
No. | α/(°) | β/(°) | δ/mm | FS/N | Phs/MPa | n/ (r/min) | Wr/ (N·m) | ωm /mg | σH /MPa |
---|---|---|---|---|---|---|---|---|---|
1 | 48 | 37 | 1.2 | 70 | 0.14 | 100 | 15 | 7.4 | 0.049 |
2 | 50 | 39 | 0.8 | 64 | 0.04 | 400 | 12 | 5.2 | 0.008 |
3 | 46 | 40 | 0.5 | 68 | 0.08 | 150 | 10.3 | 4.3 | 0.006 |
4 | 45 | 32 | 1.3 | 72 | 0.06 | 300 | 13 | 5.9 | 0.009 |
5 | 47 | 30 | 1.5 | 76 | 0.12 | 200 | 16 | 7.8 | 0.013 |
6 | 49 | 33 | 0.9 | 80 | 0.09 | 450 | 12 | 5.4 | 0.009 |
7 | 45 | 40 | 1.5 | 70 | 0.10 | 500 | 19 | 9.1 | 0.020 |
8 | 46 | 31 | 1.0 | 74 | 0.13 | 600 | 13 | 5.5 | 0.036 |
9 | 48 | 38 | 0.7 | 66 | 0.15 | 750 | 13 | 5.8 | 0.052 |
10 | 46 | 35 | 0.6 | 65 | 0.05 | 500 | 10 | 4.2 | 0.006 |
11 | 50 | 40 | 1.1 | 61 | 0.12 | 550 | 16 | 8.2 | 0.017 |
12 | 45 | 30 | 1.4 | 71 | 0.07 | 800 | 16 | 8.6 | 0.018 |
13 | 45 | 36 | 1.5 | 77 | 0.14 | 650 | 21 | 9.5 | 0.050 |
14 | 48 | 40 | 0.5 | 69 | 0.11 | 500 | 12 | 5.6 | 0.009 |
15 | 49 | 34 | 0.8 | 79 | 0.15 | 700 | 19 | 9.3 | 0.055 |
回归方程 | P值 | 相关系数R2 | 标准差 |
---|---|---|---|
Wr | <0.00001 | 0.9947 | 0.00016 |
ωm | <0.00001 | 0.9953 | 0.00014 |
σH | <0.00001 | 0.9992 | 0.00010 |
Table 4 Fitting statistics for the response surface quadratic model
回归方程 | P值 | 相关系数R2 | 标准差 |
---|---|---|---|
Wr | <0.00001 | 0.9947 | 0.00016 |
ωm | <0.00001 | 0.9953 | 0.00014 |
σH | <0.00001 | 0.9992 | 0.00010 |
No. | α/(°) | β/(°) | δ/mm | FS/N | Phs/MPa | n/(r/min) | Wr/(N·m) | ωm/mg | σH/MPa |
---|---|---|---|---|---|---|---|---|---|
1 | 45 | 30 | 1.5 | 70 | 0.10 | 400 | 14 | 6.0 | 0.009 |
2 | 45 | 30 | 1.3 | 70 | 0.11 | 400 | 14 | 6.1 | 0.009 |
3 | 45 | 30 | 1.5 | 71 | 0.10 | 400 | 14 | 6.1 | 0.009 |
4 | 45 | 31 | 1.5 | 72 | 0.12 | 400 | 15 | 6.2 | 0.010 |
5 | 45 | 32 | 1.5 | 70 | 0.10 | 400 | 14 | 6.0 | 0.009 |
Table 5 Optimal solutions
No. | α/(°) | β/(°) | δ/mm | FS/N | Phs/MPa | n/(r/min) | Wr/(N·m) | ωm/mg | σH/MPa |
---|---|---|---|---|---|---|---|---|---|
1 | 45 | 30 | 1.5 | 70 | 0.10 | 400 | 14 | 6.0 | 0.009 |
2 | 45 | 30 | 1.3 | 70 | 0.11 | 400 | 14 | 6.1 | 0.009 |
3 | 45 | 30 | 1.5 | 71 | 0.10 | 400 | 14 | 6.1 | 0.009 |
4 | 45 | 31 | 1.5 | 72 | 0.12 | 400 | 15 | 6.2 | 0.010 |
5 | 45 | 32 | 1.5 | 70 | 0.10 | 400 | 14 | 6.0 | 0.009 |
性能指标 | 优化前 | 优化后 |
---|---|---|
Wr /(N·m) | 17.6 | 14 |
ωm /mg | 10.4 | 6.0 |
σH /MPa | 0.024 | 0.009 |
Table 6 Comparison of optimisation results
性能指标 | 优化前 | 优化后 |
---|---|---|
Wr /(N·m) | 17.6 | 14 |
ωm /mg | 10.4 | 6.0 |
σH /MPa | 0.024 | 0.009 |
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