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Research Papers

Heating Position Planning in Laser Forming of Single Curved Shapes Based on Probability Convergence

[+] Author and Article Information
Hong Shen

School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China;
State Key Laboratory of Mechanical System
and Vibration,
Shanghai 200240, China
e-mail: sh_0320@sjtu.edu.cn

Yutao Zheng, Han Wang

School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China

Zhenqiang Yao

School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China;
State Key Laboratory of Mechanical System
and Vibration,
Shanghai 200240, China

Manuscript received November 2, 2015; final manuscript received December 16, 2015; published online June 20, 2016. Assoc. Editor: Matteo Strano.

J. Manuf. Sci. Eng 138(9), 091003 (Jun 20, 2016) (7 pages) Paper No: MANU-15-1547; doi: 10.1115/1.4032394 History: Received November 02, 2015; Revised December 16, 2015

Inverse problem in laser forming involves the heating position planning and the determination of heating parameters. In this study, the heating positions are optimized in laser forming of single curved shapes based on the processing efficiency. The algorithm uses a probability function to initialize the heating position that is considered to be the bending points. The optimization process is to minimize the total processing time through adjusting the heating positions by considering the boundary conditions of the offset distances, the minimum bending angle, and the minimum distance between two adjacent heating positions. The optimized results are compared with those obtained by the distance-based model as well as the experimental data.

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References

Shen, H. , Shi, Y. J. , and Yao, Z. Q. , 2006, “ Numerical Simulation of the Laser Forming of Plates Using Two Simultaneous Scans,” Comput. Mater. Sci., 37(3), pp. 239–245. [CrossRef]
Geiger, M. , and Vollertsen, F. , 1993, “ The Mechanisms of Laser Forming,” CIRP Ann., 42(1), pp. 301–304. [CrossRef]
Kyrsanidi, A. K. , Kermanidis, T. B. , and Pantelakis, S. G. , 2000, “ An Analytical Model for the Prediction of Distortions Caused by the Laser Forming Process,” J. Mater. Process. Technol., 104(1–2), pp. 94–102. [CrossRef]
Cheng, P. J. , and Lin, S. C. , 2001, “ An Analytical Model to Estimate Angle Formed by Laser,” J. Mater. Process. Technol., 108(3), pp. 314–319. [CrossRef]
Shen, H. , Yao, Z. Q. , Shi, Y. J. , and Hu, J. , 2006, “ An Analytical Formula for Estimating the Bending Angle by Laser Forming,” Proc. Inst. Mech. Eng., Part C, 220(2), pp. 243–247. [CrossRef]
Hu, Z. , Kovacevic, R. , and Labudovic, M. , 2002, “ Experimental and Numerical Modeling of Buckling Instability of Laser Sheet Forming,” Int. J. Mach. Tools Manuf., 42(13), pp. 1427–1439. [CrossRef]
Guan, Y. J. , Sun, S. , Zhao, G. Q. , and Luan, Y. G. , 2003, “ Finite Element Modeling of Laser Bending of Pre-Loaded Sheet Metals,” J. Mater. Process. Technol., 142(2), pp. 400–407. [CrossRef]
Liu, J. , Sun, S. , and Guan, Y. J. , 2009, “ Numerical Investigation on the Laser Bending of Stainless Steel Foil With Pre-Stresses,” J. Mater. Process. Technol., 209(3), pp. 1580–1587. [CrossRef]
Kim, J. , and Na, S. J. , 2003, “ Development of Irradiation Strategies for Free Curve Laser Forming,” Opt. Laser Technol., 35(8), pp. 605–611. [CrossRef]
Kim, J. , and Na, S. J. , 2009, “ 3D Laser-Forming Strategies for Sheet Metal by Geometrical Information,” Opt. Laser Technol., 41(6), pp. 843–852. [CrossRef]
Seong, W. J. , Ahn, J. , Na, S. J. , Han, M. S. , and Jeon, Y. C. , 2010, “ Geometrical Approach for Flame Forming of Single Curved Ship Hull Plate,” J. Mater. Process. Technol., 210(13), pp. 1811–1820. [CrossRef]
Abed, E. , Edwardson, S. P. , Dearden, G. , and Watkins, K. G. , 2005, “ Closed Loop 3-Dimensional Laser Forming of Developable Surfaces,” International Workshop on Thermal Forming, Bremen, Germany, Apr. 13–14, pp. 1–21.
Yu, G. X. , Patrikalakis, N. M. , and Maekawa, T. , 2000, “ Optimal Development of Doubly Curved Surfaces,” Comput. Aided Geom. Des., 17(6), pp. 545–577. [CrossRef]
Liu, C. , Yao, Y. L. , and Srinivasan, V. , 2004, “ Optimal Process Planning for Laser Forming of Doubly Curved Shapes,” ASME J. Manuf. Sci. Eng., 126(1), pp. 1–9. [CrossRef]
Cheng, J. , and Yao, Y. L. , 2004, “ Process Design of Laser Forming for Three-Dimensional Thin Plates,” ASME J. Manuf. Sci. Eng., 126(2), pp. 217–255. [CrossRef]

Figures

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Fig. 1

Schematic of laser forming process of a single curve shape

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Fig. 2

Overall strategy for planning heating positions based on the processing time

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Fig. 3

The partition of the target curve

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Fig. 4

Boundary condition: error band

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Fig. 5

Boundary condition: minimum bending angle

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Fig. 6

Boundary condition: minimum distance between two heating positions. (a) Move left, (b) move right, and (c) move both sides.

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Fig. 7

Flowchart of generating the new heating position

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Fig. 8

Heating point moving between the error band

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Fig. 9

Experimental setup of laser forming: (a) laser heating, (b) displacement sensor, and (c) measurement scheme

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Fig. 10

Experiment-determined relationship between laser power, scanning velocity, and bending angle: (a) fitted surface by RSM (R2: 0.9873) and (b) error distribution (RMSE: 0.03259 deg)

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Fig. 11

Case 1: Heating position planning based on the distance-based model

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Fig. 12

Case 1: Heating position planning based on the present model

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Fig. 13

Case 2: Heating position planning based on the distance-based model

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Fig. 14

Case 2: Heating position planning based on the present model

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Fig. 15

Experimental samples for cases 1 and 2

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Fig. 16

Experimental results based on the present model: (a) case 1 and (b) case 2

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