

China Mechanical Engineering ›› 2026, Vol. 37 ›› Issue (7): 1746-1754.DOI: 10.3969/j.issn.1004-132X.2026.07.024
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CHENG Xianfu1,2(
), ZHONG Longfei1,2, XIAO Renbin3(
), YUAN Tian1,2
Received:2025-11-18
Online:2026-07-25
Published:2026-08-18
Contact:
XIAO Renbin
程贤福1,2(
), 钟龙飞1,2, 肖人彬3(
), 袁甜1,2
通讯作者:
肖人彬
作者简介:程贤福,男,1975年生,教授、博士研究生导师。研究方向为大规模个性化定制、可适应设计、设计变更。发表论文140余篇。E-mail:chxf_xn@sina.com基金资助:CLC Number:
CHENG Xianfu, ZHONG Longfei, XIAO Renbin, YUAN Tian. Identification of Influential Parts in Mechanical Products with Multi-source Adaptive Changes[J]. China Mechanical Engineering, 2026, 37(7): 1746-1754.
程贤福, 钟龙飞, 肖人彬, 袁甜. 机械产品的多源适应性更改影响力零部件识别[J]. 中国机械工程, 2026, 37(7): 1746-1754.
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URL: https://www.cmemo.org.cn/EN/10.3969/j.issn.1004-132X.2026.07.024
| 节点 | v1 | v2 | v3 | v4 | v5 | v7 |
|---|---|---|---|---|---|---|
| Iv | 2.28 | 2.28 | 1.16 | 0.88 | 0.72 | 0 |
Tab.1 The change propagation strength of each node for change source v1
| 节点 | v1 | v2 | v3 | v4 | v5 | v7 |
|---|---|---|---|---|---|---|
| Iv | 2.28 | 2.28 | 1.16 | 0.88 | 0.72 | 0 |
| 节点 | v3 | v4 | v5 | v6 | v7 |
|---|---|---|---|---|---|
| Iv | 1.16 | 0.88 | 0.72 | 1.38 | 0 |
Tab.2 The change propagation strength of each node for change source v6
| 节点 | v3 | v4 | v5 | v6 | v7 |
|---|---|---|---|---|---|
| Iv | 1.16 | 0.88 | 0.72 | 1.38 | 0 |
| 节点 | 本文方法 | 文献[ 方法 | PageRank算法 | ||
|---|---|---|---|---|---|
| R(A⊕B)=-1 | R(A⊕B)=0 | R(A⊕B)=1 | |||
| v1 | 1(2.28) | 1(2.28) | 1(2.28) | 1 (3.64) | 2 (0.18) |
| v2 | 1(2.28) | 1(2.28) | 1(2.28) | 2 (3.16) | 1 (0.21) |
| v3 | 4(0.58) | 3(1.74) | 4(1.16) | 4 (1.16) | 3 (0.12) |
| v4 | 5(0.44) | 5(1.33) | 5(0.88) | 5 (0.88) | 5 (0.10) |
| v5 | 6(0.36) | 6(1.08) | 6(0.72) | 6 (0.72) | 6 (0.07) |
| v6 | 3(1.38) | 4(1.38) | 3(1.38) | 3 (1.43) | 4 (0.11) |
| v7 | 7(0) | 7(0) | 7(0) | 7 (0) | 7 (0.02) |
Tab.3 Node influence of each node for change source v1 and change source v6
| 节点 | 本文方法 | 文献[ 方法 | PageRank算法 | ||
|---|---|---|---|---|---|
| R(A⊕B)=-1 | R(A⊕B)=0 | R(A⊕B)=1 | |||
| v1 | 1(2.28) | 1(2.28) | 1(2.28) | 1 (3.64) | 2 (0.18) |
| v2 | 1(2.28) | 1(2.28) | 1(2.28) | 2 (3.16) | 1 (0.21) |
| v3 | 4(0.58) | 3(1.74) | 4(1.16) | 4 (1.16) | 3 (0.12) |
| v4 | 5(0.44) | 5(1.33) | 5(0.88) | 5 (0.88) | 5 (0.10) |
| v5 | 6(0.36) | 6(1.08) | 6(0.72) | 6 (0.72) | 6 (0.07) |
| v6 | 3(1.38) | 4(1.38) | 3(1.38) | 3 (1.43) | 4 (0.11) |
| v7 | 7(0) | 7(0) | 7(0) | 7 (0) | 7 (0.02) |
| 零件序号 | 复杂度 | 复杂度指数 | 传播强度 | 变更传播强度 | |
|---|---|---|---|---|---|
| 第一层 | 第二层 | ||||
| 1 | 0.78125 | 1.0000 | 0.4717 | 0.2103 | 0.6820 |
| 2 | 0.17413 | 0.2229 | 0.1820 | 0.1705 | 0.3525 |
| 3 | 0.19518 | 0.2498 | 0.1026 | 0 | 0.1026 |
| 4 | 0.11529 | 0.1476 | 0.0655 | 0 | 0.0655 |
| 5 | 0.25525 | 0.3267 | 0.4065 | 0 | 0.4065 |
| 6 | 0.20044 | 0.2566 | 0 | 0 | 0 |
| 7 | 0.12786 | 0.1637 | 0 | 0 | 0 |
| 8 | 0.20044 | 0.2566 | 0.2074 | 0 | 0.2704 |
| 12 | 0.15351 | 0.1965 | 0 | 0 | 0 |
Tab.4 The change propagation strength of each component for change source v1
| 零件序号 | 复杂度 | 复杂度指数 | 传播强度 | 变更传播强度 | |
|---|---|---|---|---|---|
| 第一层 | 第二层 | ||||
| 1 | 0.78125 | 1.0000 | 0.4717 | 0.2103 | 0.6820 |
| 2 | 0.17413 | 0.2229 | 0.1820 | 0.1705 | 0.3525 |
| 3 | 0.19518 | 0.2498 | 0.1026 | 0 | 0.1026 |
| 4 | 0.11529 | 0.1476 | 0.0655 | 0 | 0.0655 |
| 5 | 0.25525 | 0.3267 | 0.4065 | 0 | 0.4065 |
| 6 | 0.20044 | 0.2566 | 0 | 0 | 0 |
| 7 | 0.12786 | 0.1637 | 0 | 0 | 0 |
| 8 | 0.20044 | 0.2566 | 0.2074 | 0 | 0.2704 |
| 12 | 0.15351 | 0.1965 | 0 | 0 | 0 |
| 零件序号 | 复杂度 | 复杂度指数 | 传播强度 | 变更传播强度 | ||
|---|---|---|---|---|---|---|
| 第一层 | 第二层 | 第三层 | ||||
| 3 | 0.19518 | 0.4026 | 0.1654 | 0 | 0 | 0.1654 |
| 4 | 0.11529 | 0.2378 | 0.1055 | 0 | 0 | 0.1055 |
| 5 | 0.25525 | 0.5265 | 0.6551 | 0 | 0 | 0.6551 |
| 6 | 0.20044 | 0.4135 | 0 | 0 | 0 | 0 |
| 7 | 0.12786 | 0.2637 | 0 | 0 | 0 | 0 |
| 9 | 0.31448 | 0.6487 | 0.1053 | 0.1310 | 0 | 0.2363 |
| 10 | 0.48480 | 1.000 | 0.2595 | 0.0421 | 0.0524 | 0.3540 |
| 11 | 0.48480 | 1.000 | 0.7053 | 0.2867 | 0 | 0.9920 |
Tab.5 The change propagation strength of each component for change source v11
| 零件序号 | 复杂度 | 复杂度指数 | 传播强度 | 变更传播强度 | ||
|---|---|---|---|---|---|---|
| 第一层 | 第二层 | 第三层 | ||||
| 3 | 0.19518 | 0.4026 | 0.1654 | 0 | 0 | 0.1654 |
| 4 | 0.11529 | 0.2378 | 0.1055 | 0 | 0 | 0.1055 |
| 5 | 0.25525 | 0.5265 | 0.6551 | 0 | 0 | 0.6551 |
| 6 | 0.20044 | 0.4135 | 0 | 0 | 0 | 0 |
| 7 | 0.12786 | 0.2637 | 0 | 0 | 0 | 0 |
| 9 | 0.31448 | 0.6487 | 0.1053 | 0.1310 | 0 | 0.2363 |
| 10 | 0.48480 | 1.000 | 0.2595 | 0.0421 | 0.0524 | 0.3540 |
| 11 | 0.48480 | 1.000 | 0.7053 | 0.2867 | 0 | 0.9920 |
| 零件序号 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|
| 初始值 | 横向尺寸 | 850 | 850 | 200 | 360 | 360 |
| 厚度 | 3 | 3 | 3.25 | 3 | 3 | |
| v1更改 | 横向尺寸 | 950 | 950 | 200 | 380 | 380 |
| 厚度 | 3 | 3 | 3.25 | 3 | 3 | |
| v11更改 | 横向尺寸 | 840 | 840 | 210 | 355 | 355 |
| 厚度 | 3.2 | 3.2 | 3.5 | 3.2 | 3.2 | |
v1和v9同时 更改 | 横向尺寸 | 850 | 850 | 200 | 360 | 360 |
| 厚度 | 3.2 | 3.2 | 3.5 | 3.2 | 3.2 |
Tab.6 The change values of coupling nodes v3, v4, v5, v6and v7 mm
| 零件序号 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|
| 初始值 | 横向尺寸 | 850 | 850 | 200 | 360 | 360 |
| 厚度 | 3 | 3 | 3.25 | 3 | 3 | |
| v1更改 | 横向尺寸 | 950 | 950 | 200 | 380 | 380 |
| 厚度 | 3 | 3 | 3.25 | 3 | 3 | |
| v11更改 | 横向尺寸 | 840 | 840 | 210 | 355 | 355 |
| 厚度 | 3.2 | 3.2 | 3.5 | 3.2 | 3.2 | |
v1和v9同时 更改 | 横向尺寸 | 850 | 850 | 200 | 360 | 360 |
| 厚度 | 3.2 | 3.2 | 3.5 | 3.2 | 3.2 |
耦合 路径 | Path v3→v6 | Path v4→v7 | Path v5→v3 | Path v5→v4 | Path v5→v6 | Path v5→v7 |
|---|---|---|---|---|---|---|
| 相关性 | -0.2040 | -0.2040 | -0.1738 | -0.1738 | 0 | 0 |
Tab.7 The correlation of the coupling path for change source v1 and change source v11
耦合 路径 | Path v3→v6 | Path v4→v7 | Path v5→v3 | Path v5→v4 | Path v5→v6 | Path v5→v7 |
|---|---|---|---|---|---|---|
| 相关性 | -0.2040 | -0.2040 | -0.1738 | -0.1738 | 0 | 0 |
| 零件序号 | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ||
| 复杂度 | 0.457 65 | 0.109 08 | 0.122 15 | 0.072 83 | 0.157 47 | 0.124 95 | 0.080 55 | 0.124 95 | 0.194 42 | 0.293 01 | 0.293 01 | 0.097 16 | |
| 复杂度指数 | 1.0000 | 0.2383 | 0.2669 | 0.1591 | 0.3441 | 0.2730 | 0.1760 | 0.2730 | 0.4248 | 0.6403 | 0.6403 | 0.2101 | |
传播 强度 | 第一层 | 0.5007 | 0.1922 | 0.2261 | 0.1443 | 0.9788 | 0 | 0 | 0.2216 | 0.0688 | 0.1699 | 0.4530 | 0 |
| 第二层 | 0.2252 | 0.1825 | 0 | 0 | 0 | 0 | 0 | 0 | 0.0870 | 0.0275 | 0.1890 | 0 | |
| 第三层 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0.0348 | 0 | 0 | |
| 变更传播强度 | 0.7259 | 0.3747 | 0.2261 | 0.1443 | 0.9788 | 0 | 0 | 0.2216 | 0.1559 | 0.2323 | 0.6402 | 0 | |
Tab.8 The change propagation strength of each component for change source v1 and change source v11
| 零件序号 | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ||
| 复杂度 | 0.457 65 | 0.109 08 | 0.122 15 | 0.072 83 | 0.157 47 | 0.124 95 | 0.080 55 | 0.124 95 | 0.194 42 | 0.293 01 | 0.293 01 | 0.097 16 | |
| 复杂度指数 | 1.0000 | 0.2383 | 0.2669 | 0.1591 | 0.3441 | 0.2730 | 0.1760 | 0.2730 | 0.4248 | 0.6403 | 0.6403 | 0.2101 | |
传播 强度 | 第一层 | 0.5007 | 0.1922 | 0.2261 | 0.1443 | 0.9788 | 0 | 0 | 0.2216 | 0.0688 | 0.1699 | 0.4530 | 0 |
| 第二层 | 0.2252 | 0.1825 | 0 | 0 | 0 | 0 | 0 | 0 | 0.0870 | 0.0275 | 0.1890 | 0 | |
| 第三层 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0.0348 | 0 | 0 | |
| 变更传播强度 | 0.7259 | 0.3747 | 0.2261 | 0.1443 | 0.9788 | 0 | 0 | 0.2216 | 0.1559 | 0.2323 | 0.6402 | 0 | |
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