Author Affiliations
1School of Mechatronic Engineering, Shenyang Aerospace University, Shenyang 110136, Liaoning, China2Shenyang Aircraft Design Institute, Aviation Industry Corporation of China, Ltd., Shenyang 110035, Liaoning, Chinashow less
Fig. 1. Roadmap of warping detection and cracking prediction system
Fig. 2. Software architecture of warping detection and cracking prediction in LDM
Fig. 3. Algorithm flow and detection principle. (a) Coordinate system calibration and point cloud data pre-processing flow; (b) in‐situ detection principle
Fig. 4. Definition of warping angle
Fig. 5. Two warping detection schemes. (a) Rotary slicing planes and intersecting lines; (b) parallel slicing planes and intersecting lines; (c) rotary slicing planes and parallel slicing planes were combined
Fig. 6. Algorithm flow of warping detection
Fig. 7. Schematic of the variation in warping angle
Fig. 8. Cracking prediction algorithm flow
Fig. 9. Cracking affected area determined by rotary slices. (a) Rotary slices; (b) intersecting line with the largest warping angle and four nearby intersecting lines
Fig. 10. Warping detection experiment. (a) Surface warping; (b) point cloud data after pre-processing; (c) reconstructed surface; (d) obtain the intersection lines by rotary slicing planes; (e) obtain the intersection lines by parallel slicing planes
Fig. 11. Experiment result of cracking prediction. (a) Variation trend of Qn and K; (b) warping angle in cracking affected area at layer 51; (c) variation of warping angle at layer 51; (d) cracking at layer 55
Number | α /(°) | H /mm | L /mm | Q /(°) | Trend of warping |
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1 | 0 | 4.04 | 68.81 | 3.36 | Yes | 2 | 15 | 3.32 | 67.20 | 2.83 | No | 3 | 30 | 3.96 | 85.59 | 2.65 | No | 4 | 45 | 3.02 | 77.67 | 2.23 | No | 5 | 60 | 1.23 | 77.21 | 0.91 | No | 6 | 75 | 1.39 | 85.62 | 0.93 | No | 7 | 90 | 1.34 | 79.78 | 0.96 | No | 8 | 105 | 2.24 | 78.79 | 1.63 | No | 9 | 120 | 2.68 | 90.33 | 1.70 | No | 10 | 135 | 2.35 | 68.32 | 1.97 | No | 11 | 150 | 2.62 | 64.11 | 2.34 | No | 12 | 165 | 3.82 | 73.98 | 2.96 | No |
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Table 1. Calculated warping angle of intersecting lines obtained by rotary slicing planes
Number | H /mm | L /mm | Q /(°) | Trend of warping |
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1 | 4.04 | 68.81 | 3.36 | Yes | 2 | 4.18 | 66.16 | 3.62 | Yes | 3 | 4.15 | 64.88 | 3.66 | Yes | 21 | 4.07 | 66.79 | 3.49 | Yes | 22 | 4.14 | 65.16 | 3.64 | Yes |
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Table 2. Warping trend detection results of the first slicing plane and four adjacent intersecting lines
Layer number | L /mm | H /mm | Qn /(°) | K /(°) | Q1 /(°) | K1 /(°) |
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45 | 48.23 | 4.09 | 4.85 | | 4.82 | | 46 | 49.51 | 4.28 | 4.94 | | 4.91 | | 47 | 48.98 | 4.57 | 5.33 | | 5.3 | | 48 | 49.02 | 4.83 | 5.63 | | 5.58 | | 49 | 47.63 | 5.11 | 6.12 | | 6.08 | | 50 | 47.9 | 5.3 | 6.31 | 1.46 | 6.25 | 1.43 | 51 | 49.08 | 5.61 | 6.52 | 1.58 | 6.47 | 1.56 | 52 | 46.37 | 5.91 | 7.26 | 1.93 | 7.19 | 1.89 | 53 | 44.73 | 6.28 | 7.99 | 2.36 | 7.93 | 2.35 | 54 | 45.36 | 6.89 | 8.64 | 2.52 | 8.61 | 2.53 | 55 | 44.42 | 8.9 | 11.33 | 5.02 | 11.27 | 5.02 | Layer number | Q2 /(°) | K2 /(°) | Q3 /(°) | K3 /(°) | Q4 /(°) | K4 /(°) | 45 | 4.78 | | 4.83 | | 4.8 | | 46 | 4.88 | | 4.93 | | 4.91 | | 47 | 5.26 | | 5.31 | | 5.28 | | 48 | 5.53 | | 5.59 | | 5.55 | | 49 | 6.03 | | 6.07 | | 6.04 | | 50 | 6.2 | 1.42 | 6.26 | 1.43 | 6.21 | 1.41 | 51 | 6.41 | 1.53 | 6.46 | 1.53 | 6.38 | 1.47 | 52 | 7.13 | 1.87 | 7.2 | 1.89 | 7.12 | 1.84 | 53 | 7.88 | 2.35 | 7.94 | 2.35 | 7.87 | 2.32 | 54 | 8.57 | 2.54 | 8.6 | 2.53 | 8.51 | 2.47 | 55 | 11.23 | 5.03 | 11.28 | 5.02 | 11.19 | 4.98 |
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Table 3. Calculated warping angle Q and variation K in five consecutive layers at layer 45–55