Journal of Automotive Safety and Energy ›› 2026, Vol. 17 ›› Issue (2): 200-208.DOI: 10.3969/j.issn.1674-8484.2026.02.005
• Automotive Safety • Previous Articles Next Articles
LIU Xiang1(
), YIN Yuming1,*(
), WU Zhiwen1, DING Xiaoyu1, XU Huafu2, GAO Jiaqing2, YANG Dasheng3
Received:2025-12-03
Revised:2026-02-25
Online:2026-04-30
Published:2026-04-30
CLC Number:
LIU Xiang, YIN Yuming, WU Zhiwen, DING Xiaoyu, XU Huafu, GAO Jiaqing, YANG Dasheng. Data-driven prediction and multi-parameter optimization of fatigue life of commercial vehicle drive shafts[J]. Journal of Automotive Safety and Energy, 2026, 17(2): 200-208.
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URL: https://www.journalase.com/EN/10.3969/j.issn.1674-8484.2026.02.005
| 应变片序号 | 最大扭矩时平均应变/ (μm·m-1) | |
|---|---|---|
| 0°夹角 | 5°夹角 | |
| NO-01-A | 352.12 | 323.27 |
| NO-01-B | -338.91 | -284.93 |
| NO-01-C | -255.90 | -204.61 |
| NO-02 | -302.77 | -270.11 |
| NO-03 | -337.78 | -301.87 |
| 应变片序号 | 最大扭矩时平均应变/ (μm·m-1) | |
|---|---|---|
| 0°夹角 | 5°夹角 | |
| NO-01-A | 352.12 | 323.27 |
| NO-01-B | -338.91 | -284.93 |
| NO-01-C | -255.90 | -204.61 |
| NO-02 | -302.77 | -270.11 |
| NO-03 | -337.78 | -301.87 |
| 零件 | 尺寸 变化范围 | 仿真 样本量 | 隐藏层 | RMSE | 相关系数R | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 训练 | 验证 | 测试 | 总数据 | 训练 | 验证 | 测试 | 总数据 | |||||
| 输入法兰叉 | (±20)% | 690 | 40-25-20-15-6 | 0.200 7 | 0.243 7 | 0.254 2 | 0.216 3 | 0.856 4 | 0.731 5 | 0.730 3 | 0.819 3 | |
| 输出法兰叉 | 688 | 45-31-20-12-7 | 0.090 2 | 0.152 0 | 0.137 2 | 0.109 5 | 0.901 4 | 0.602 9 | 0.674 8 | 0.832 6 | ||
| 焊接叉 | 834 | 50-34-25-15-8 | 0.238 4 | 0.353 2 | 0.334 0 | 0.284 9 | 0.880 1 | 0.663 5 | 0.756 3 | 0.814 0 | ||
| 花键叉轴 | 782 | 60-32-16-8-4 | 0.064 0 | 0.182 3 | 0.231 1 | 0.125 8 | 0.983 5 | 0.847 8 | 0.721 0 | 0.930 2 | ||
| 花键套 | 642 | 40-24-20-15-6 | 0.128 0 | 0.189 3 | 0.238 6 | 0.159 3 | 0.914 8 | 0.877 9 | 0.439 2 | 0.864 3 | ||
| 十字轴 | 492 | 40-30-25-15-6 | 0.114 4 | 0.160 1 | 0.201 2 | 0.138 1 | 0.953 7 | 0.918 3 | 0.900 4 | 0.936 9 | ||
| 轴管 | 120 | 40-24-15-6 | 0.340 0 | 0.357 0 | 0.148 9 | 0.321 4 | 0.721 4 | 0.824 4 | 0.909 6 | 0.745 1 | ||
| 零件 | 尺寸 变化范围 | 仿真 样本量 | 隐藏层 | RMSE | 相关系数R | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 训练 | 验证 | 测试 | 总数据 | 训练 | 验证 | 测试 | 总数据 | |||||
| 输入法兰叉 | (±20)% | 690 | 40-25-20-15-6 | 0.200 7 | 0.243 7 | 0.254 2 | 0.216 3 | 0.856 4 | 0.731 5 | 0.730 3 | 0.819 3 | |
| 输出法兰叉 | 688 | 45-31-20-12-7 | 0.090 2 | 0.152 0 | 0.137 2 | 0.109 5 | 0.901 4 | 0.602 9 | 0.674 8 | 0.832 6 | ||
| 焊接叉 | 834 | 50-34-25-15-8 | 0.238 4 | 0.353 2 | 0.334 0 | 0.284 9 | 0.880 1 | 0.663 5 | 0.756 3 | 0.814 0 | ||
| 花键叉轴 | 782 | 60-32-16-8-4 | 0.064 0 | 0.182 3 | 0.231 1 | 0.125 8 | 0.983 5 | 0.847 8 | 0.721 0 | 0.930 2 | ||
| 花键套 | 642 | 40-24-20-15-6 | 0.128 0 | 0.189 3 | 0.238 6 | 0.159 3 | 0.914 8 | 0.877 9 | 0.439 2 | 0.864 3 | ||
| 十字轴 | 492 | 40-30-25-15-6 | 0.114 4 | 0.160 1 | 0.201 2 | 0.138 1 | 0.953 7 | 0.918 3 | 0.900 4 | 0.936 9 | ||
| 轴管 | 120 | 40-24-15-6 | 0.340 0 | 0.357 0 | 0.148 9 | 0.321 4 | 0.721 4 | 0.824 4 | 0.909 6 | 0.745 1 | ||
| 变量 | 原值 mm | 优化范围 mm | 优化参数 mm | 变量 | 原值 mm | 优化范围 mm | 优化参数 mm | |
|---|---|---|---|---|---|---|---|---|
| 十字轴配合孔孔径1 | 34.0 | 30~40 | 35.973 1 | 焊接叉台阶轴轴径2 | 70.0 | 60~75 | 67.190 0 | |
| 十字轴配合孔两侧厚度1 | 88.5 | 86~91 | 89.438 9 | 焊接叉台阶轴3 | 66.0 | 60~70 | 63.566 6 | |
| 螺栓孔孔径1 | 7.5 | 6~9 | 6.821 7 | 焊接叉圆角 | 2.0 | 0~4 | 3.074 5 | |
| 4个突缘厚度1 | 16.1 | 12~20 | 15.114 4 | 焊接叉配合孔径 | 34.0 | 30~40 | 35.973 1 | |
| 2处肋板厚度1 | 11.0 | 8~16 | 11.811 4 | 焊接叉配合孔厚度 | 88.5 | 85~91 | 85.339 2 | |
| 十字轴配合孔孔径2 | 34.0 | 30~40 | 35.973 1 | 焊接叉台阶轴长度 | 139.0 | 125~152 | 137.929 3 | |
| 十字轴配合孔两侧厚度2 | 88.5 | 86~91 | 88.134 1 | 花键套外径 | 51.5 | 40~70 | 54.644 1 | |
| 螺栓孔孔径2 | 7.5 | 6~9 | 6.411 8 | 花键套圆角 | 50.0 | 40~60 | 50.191 8 | |
| 4个突缘厚度2 | 16.1 | 12~20 | 18.327 1 | 花键套台阶轴1 | 70.0 | 60~80 | 70.537 5 | |
| 2处肋板厚度2 | 11.0 | 8~16 | 13.321 3 | 花键套台阶轴2 | 65.0 | 60~70 | 64.186 7 | |
| 花键轴径 | 38.39 | 34~45 | 39.876 1 | 花键套焊接位置配合长度 | 0.0 | -6~6 | 1.376 1 | |
| 花键轴长 | 363.0 | 300~410 | 355.043 6 | 花键套花键套长 | 240.0 | 220~250 | 235.267 6 | |
| 花键台阶轴径1 | 37.0 | 30~48 | 39.397 1 | 十字轴外径 | 34.0 | 30~40 | 35.973 1 | |
| 花键台阶轴径2 | 55.0 | 45~70 | 57.664 7 | 十字轴轴长 | 48.0 | 40~66 | 53.699 2 | |
| 花键配合孔径 | 34.0 | 30~40 | 35.973 1 | 十字轴中心厚度 | 24.0 | 20~35 | 28.838 1 | |
| 花键配合孔厚度 | 88.5 | 80~96 | 87.419 7 | 十字轴边缘厚度 | 27.5 | 24~31 | 29.559 6 | |
| 花键圆角1 | 12.0 | 0~20 | 12.031 3 | 轴管外径 | 70.0 | 70~80 | 73.993 9 | |
| 花键圆角2 | 2.0 | 0~4 | 1.836 8 | 轴管内径 | 65.0 | 50~70 | 59.054 8 | |
| 花键轴底部长度 | 118 | 110~130 | 119.735 9 | 轴管轴长 | 448.0 | 408~528 | 468.093 0 | |
| 焊接叉台阶轴轴径1 | 65.0 | 58-72 | 64.813 0 | |||||
| 优化前后疲劳寿命/次 | 159 200 | / | 195 210 | 优化后寿命提升率 | ||||
| 变量 | 原值 mm | 优化范围 mm | 优化参数 mm | 变量 | 原值 mm | 优化范围 mm | 优化参数 mm | |
|---|---|---|---|---|---|---|---|---|
| 十字轴配合孔孔径1 | 34.0 | 30~40 | 35.973 1 | 焊接叉台阶轴轴径2 | 70.0 | 60~75 | 67.190 0 | |
| 十字轴配合孔两侧厚度1 | 88.5 | 86~91 | 89.438 9 | 焊接叉台阶轴3 | 66.0 | 60~70 | 63.566 6 | |
| 螺栓孔孔径1 | 7.5 | 6~9 | 6.821 7 | 焊接叉圆角 | 2.0 | 0~4 | 3.074 5 | |
| 4个突缘厚度1 | 16.1 | 12~20 | 15.114 4 | 焊接叉配合孔径 | 34.0 | 30~40 | 35.973 1 | |
| 2处肋板厚度1 | 11.0 | 8~16 | 11.811 4 | 焊接叉配合孔厚度 | 88.5 | 85~91 | 85.339 2 | |
| 十字轴配合孔孔径2 | 34.0 | 30~40 | 35.973 1 | 焊接叉台阶轴长度 | 139.0 | 125~152 | 137.929 3 | |
| 十字轴配合孔两侧厚度2 | 88.5 | 86~91 | 88.134 1 | 花键套外径 | 51.5 | 40~70 | 54.644 1 | |
| 螺栓孔孔径2 | 7.5 | 6~9 | 6.411 8 | 花键套圆角 | 50.0 | 40~60 | 50.191 8 | |
| 4个突缘厚度2 | 16.1 | 12~20 | 18.327 1 | 花键套台阶轴1 | 70.0 | 60~80 | 70.537 5 | |
| 2处肋板厚度2 | 11.0 | 8~16 | 13.321 3 | 花键套台阶轴2 | 65.0 | 60~70 | 64.186 7 | |
| 花键轴径 | 38.39 | 34~45 | 39.876 1 | 花键套焊接位置配合长度 | 0.0 | -6~6 | 1.376 1 | |
| 花键轴长 | 363.0 | 300~410 | 355.043 6 | 花键套花键套长 | 240.0 | 220~250 | 235.267 6 | |
| 花键台阶轴径1 | 37.0 | 30~48 | 39.397 1 | 十字轴外径 | 34.0 | 30~40 | 35.973 1 | |
| 花键台阶轴径2 | 55.0 | 45~70 | 57.664 7 | 十字轴轴长 | 48.0 | 40~66 | 53.699 2 | |
| 花键配合孔径 | 34.0 | 30~40 | 35.973 1 | 十字轴中心厚度 | 24.0 | 20~35 | 28.838 1 | |
| 花键配合孔厚度 | 88.5 | 80~96 | 87.419 7 | 十字轴边缘厚度 | 27.5 | 24~31 | 29.559 6 | |
| 花键圆角1 | 12.0 | 0~20 | 12.031 3 | 轴管外径 | 70.0 | 70~80 | 73.993 9 | |
| 花键圆角2 | 2.0 | 0~4 | 1.836 8 | 轴管内径 | 65.0 | 50~70 | 59.054 8 | |
| 花键轴底部长度 | 118 | 110~130 | 119.735 9 | 轴管轴长 | 448.0 | 408~528 | 468.093 0 | |
| 焊接叉台阶轴轴径1 | 65.0 | 58-72 | 64.813 0 | |||||
| 优化前后疲劳寿命/次 | 159 200 | / | 195 210 | 优化后寿命提升率 | ||||
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