

China Mechanical Engineering ›› 2026, Vol. 37 ›› Issue (10): 2466-2475.DOI: 10.3969/j.issn.1004-132X.2026.10.009
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FEI Fan1(
), WU Jianzhao1,2(
), ZHONG Liuyang1, ZHANG Chaoyong2, LIU Wenhui1, LIU Xiao1
Received:2025-11-30
Online:2026-10-25
Published:2026-11-10
Contact:
WU Jianzhao
费凡1(
), 吴剑钊1,2(
), 仲刘洋1, 张超勇2, 刘文辉1, 刘筱1
通讯作者:
吴剑钊
作者简介:费凡,男,2002年生,硕士研究生。研究方向为激光直接能量沉积。E-mail: 202411802008@jmu.edu.cn基金资助:CLC Number:
FEI Fan, WU Jianzhao, ZHONG Liuyang, ZHANG Chaoyong, LIU Wenhui, LIU Xiao. Optimization of Process Parameters and Performance Analysis of Laser Directed Energy Deposition Considering Specific Energy Consumption, Energy Utilization Rate, and Height-to-width Ratio[J]. China Mechanical Engineering, 2026, 37(10): 2466-2475.
费凡, 吴剑钊, 仲刘洋, 张超勇, 刘文辉, 刘筱. 考虑比能耗、能量利用率和高宽比的激光定向能量沉积工艺参数优化及性能分析[J]. 中国机械工程, 2026, 37(10): 2466-2475.
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URL: https://www.cmemo.org.cn/EN/10.3969/j.issn.1004-132X.2026.10.009
| Ti | Al | V | Fe |
|---|---|---|---|
| 余量 | 5.5~6.75 | 3.5~4.5 | ≤0.30 |
| C | N | H | O |
| ≤0.08 | ≤0.05 | ≤0.008 | ≤0.20 |
Tab.1 Chemical composition of Ti-6Al-4V(mass friction)
| Ti | Al | V | Fe |
|---|---|---|---|
| 余量 | 5.5~6.75 | 3.5~4.5 | ≤0.30 |
| C | N | H | O |
| ≤0.08 | ≤0.05 | ≤0.008 | ≤0.20 |
| 水平 | 因素A/W | 因素B/(mm·min-1) | 因素C/(g·min-1) |
|---|---|---|---|
| 1 | 650 | 450 | 2.4 |
| 2 | 700 | 500 | 3.6 |
| 3 | 750 | 550 | 4.8 |
| 4 | 800 | 600 | 6.0 |
Tab.2 Factors and levels of the orthogonal experiment
| 水平 | 因素A/W | 因素B/(mm·min-1) | 因素C/(g·min-1) |
|---|---|---|---|
| 1 | 650 | 450 | 2.4 |
| 2 | 700 | 500 | 3.6 |
| 3 | 750 | 550 | 4.8 |
| 4 | 800 | 600 | 6.0 |
| 序号 | 因素A | 因素B | 因素C | 序号 | 因素A | 因素B | 因素C |
|---|---|---|---|---|---|---|---|
| 1 | 1 | 1 | 1 | 9 | 3 | 1 | 3 |
| 2 | 1 | 2 | 2 | 10 | 3 | 2 | 4 |
| 3 | 1 | 3 | 3 | 11 | 3 | 3 | 1 |
| 4 | 1 | 4 | 4 | 12 | 3 | 4 | 2 |
| 5 | 2 | 1 | 2 | 13 | 4 | 1 | 4 |
| 6 | 2 | 2 | 1 | 14 | 4 | 2 | 3 |
| 7 | 2 | 3 | 4 | 15 | 4 | 3 | 2 |
| 8 | 2 | 4 | 3 | 16 | 4 | 4 | 1 |
Tab.3 L₁₆(43) orthogonal experimental array
| 序号 | 因素A | 因素B | 因素C | 序号 | 因素A | 因素B | 因素C |
|---|---|---|---|---|---|---|---|
| 1 | 1 | 1 | 1 | 9 | 3 | 1 | 3 |
| 2 | 1 | 2 | 2 | 10 | 3 | 2 | 4 |
| 3 | 1 | 3 | 3 | 11 | 3 | 3 | 1 |
| 4 | 1 | 4 | 4 | 12 | 3 | 4 | 2 |
| 5 | 2 | 1 | 2 | 13 | 4 | 1 | 4 |
| 6 | 2 | 2 | 1 | 14 | 4 | 2 | 3 |
| 7 | 2 | 3 | 4 | 15 | 4 | 3 | 2 |
| 8 | 2 | 4 | 3 | 16 | 4 | 4 | 1 |
| 统计量 | 能量利用率 | 比能耗 | 高宽比 | ||||||
|---|---|---|---|---|---|---|---|---|---|
| 因素A | 因素B | 因素C | 因素A | 因素B | 因素C | 因素A | 因素B | 因素C | |
| K1 | 42.64 | 49.19 | 41.01 | 86 120.21 | 83 241.71 | 126 004.43 | 138.51 | 155.54 | 97.54 |
| K2 | 45.11 | 47.52 | 44.80 | 85 382.96 | 87 494.52 | 99 726.82 | 142.06 | 146.97 | 125.74 |
| K3 | 52.52 | 47.71 | 50.91 | 89 966.55 | 95 421.67 | 75 399.90 | 141.34 | 129.14 | 152.35 |
| K4 | 53.08 | 48.92 | 56.63 | 99 691.26 | 95 003.08 | 60 029.83 | 134.51 | 124.77 | 180.79 |
| k1 | 10.66 | 12.30 | 10.25 | 21 530.05 | 20 810.43 | 31 501.11 | 34.63 | 38.88 | 24.39 |
| k2 | 11.28 | 11.88 | 11.20 | 21 345.74 | 21 873.63 | 24 931.71 | 35.51 | 36.74 | 31.44 |
| k3 | 13.13 | 11.93 | 12.73 | 22 491.64 | 23 855.42 | 18 849.97 | 35.34 | 32.29 | 38.09 |
| k4 | 13.27 | 12.23 | 14.16 | 24 922.81 | 23 750.77 | 15 007.46 | 33.63 | 31.19 | 45.20 |
| R | 2.61 | 0.42 | 3.91 | -3577.07 | -3044.99 | -16493.65 | -1.89 | -7.69 | -20.81 |
| 因素主次顺序 | C>A>B | C>A>B | C>B>A | ||||||
| 因素最佳水平 | 4 | 1 | 4 | 2 | 1 | 4 | 4 | 4 | 1 |
Tab.4 Range analysis results
| 统计量 | 能量利用率 | 比能耗 | 高宽比 | ||||||
|---|---|---|---|---|---|---|---|---|---|
| 因素A | 因素B | 因素C | 因素A | 因素B | 因素C | 因素A | 因素B | 因素C | |
| K1 | 42.64 | 49.19 | 41.01 | 86 120.21 | 83 241.71 | 126 004.43 | 138.51 | 155.54 | 97.54 |
| K2 | 45.11 | 47.52 | 44.80 | 85 382.96 | 87 494.52 | 99 726.82 | 142.06 | 146.97 | 125.74 |
| K3 | 52.52 | 47.71 | 50.91 | 89 966.55 | 95 421.67 | 75 399.90 | 141.34 | 129.14 | 152.35 |
| K4 | 53.08 | 48.92 | 56.63 | 99 691.26 | 95 003.08 | 60 029.83 | 134.51 | 124.77 | 180.79 |
| k1 | 10.66 | 12.30 | 10.25 | 21 530.05 | 20 810.43 | 31 501.11 | 34.63 | 38.88 | 24.39 |
| k2 | 11.28 | 11.88 | 11.20 | 21 345.74 | 21 873.63 | 24 931.71 | 35.51 | 36.74 | 31.44 |
| k3 | 13.13 | 11.93 | 12.73 | 22 491.64 | 23 855.42 | 18 849.97 | 35.34 | 32.29 | 38.09 |
| k4 | 13.27 | 12.23 | 14.16 | 24 922.81 | 23 750.77 | 15 007.46 | 33.63 | 31.19 | 45.20 |
| R | 2.61 | 0.42 | 3.91 | -3577.07 | -3044.99 | -16493.65 | -1.89 | -7.69 | -20.81 |
| 因素主次顺序 | C>A>B | C>A>B | C>B>A | ||||||
| 因素最佳水平 | 4 | 1 | 4 | 2 | 1 | 4 | 4 | 4 | 1 |
| 方差来源 | 平方和Sj | 自由度df | 均方MS | F* | P* | 显著性(α0=0.05) | |
|---|---|---|---|---|---|---|---|
| 能量利用率 | 因素A | 20.720 | 3 | 6.907 | 10.712 | 0.008 | 显著 |
| 因素B | 0.529 | 3 | 0.176 | 0.274 | 0.843 | 不显著 | |
| 因素C | 35.393 | 3 | 11.798 | 18.298 | 0.002 | 显著 | |
| 比能耗 | 因素A | 32 488 603.690 | 3 | 10 829 534.563 | 3.808 | 0.077 | 不显著 |
| 因素B | 26 510 073.075 | 3 | 8 836 691.025 | 3.107 | 0.110 | 不显著 | |
| 因素C | 625 491 795.136 | 3 | 208 497 265.045 | 73.310 | <0.001 | 显著 | |
| 高宽比 | 因素A | 8.804 | 3 | 2.935 | 0.903 | 0.493 | 不显著 |
| 因素B | 159.185 | 3 | 53.062 | 16.335 | 0.003 | 显著 | |
| 因素C | 954.656 | 3 | 318.219 | 97.961 | <0.001 | 显著 | |
Tab.5 ANOVA results
| 方差来源 | 平方和Sj | 自由度df | 均方MS | F* | P* | 显著性(α0=0.05) | |
|---|---|---|---|---|---|---|---|
| 能量利用率 | 因素A | 20.720 | 3 | 6.907 | 10.712 | 0.008 | 显著 |
| 因素B | 0.529 | 3 | 0.176 | 0.274 | 0.843 | 不显著 | |
| 因素C | 35.393 | 3 | 11.798 | 18.298 | 0.002 | 显著 | |
| 比能耗 | 因素A | 32 488 603.690 | 3 | 10 829 534.563 | 3.808 | 0.077 | 不显著 |
| 因素B | 26 510 073.075 | 3 | 8 836 691.025 | 3.107 | 0.110 | 不显著 | |
| 因素C | 625 491 795.136 | 3 | 208 497 265.045 | 73.310 | <0.001 | 显著 | |
| 高宽比 | 因素A | 8.804 | 3 | 2.935 | 0.903 | 0.493 | 不显著 |
| 因素B | 159.185 | 3 | 53.062 | 16.335 | 0.003 | 显著 | |
| 因素C | 954.656 | 3 | 318.219 | 97.961 | <0.001 | 显著 | |
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