Abstract
An analytical model establishment of laser bending angle is important in understanding its forming mechanism and predicting its bending angle. Meanwhile, laser thermal bending under preload is a new direction of laser research. Therefore, an analytical model of laser bending angle for buckling mechanism under preload is established in this work. The proposed model is established on a thermal buckling angle model without preload by analyzing the stress and strain in the heating zone and considering the preload factors. In addition, the range of machining parameters and the preload values that satisfy the model are presented. The accuracy of the bending angle that is predicted by the model is verified by experiments. Compared with the experimental results, the average error of bending angle is less than 3.7% under different preloads and 5.1% under different laser powers. Overall, results showed that the proposed model can accurately predict the bending angle.
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References
Peng Q, Chen GN, Wang XF (2009) Similarity of laser assisted prestressing forming. China laser 36(5):239–244.
Xu L, Li WD, Wan M, Wang XF, Dong YG (2015) Laser bending process of preloaded sheet metal. MATEC Web of Conferences 21:1–6. https://doi.org/10.1051/matecconf/20152104004
Vollertsen F, Komel I, Kals R (1995) The laser bending of steel foils for microparts by the buckling mechanism-a model. Model Simu Mater SC 3(1):107–119. https://doi.org/10.1088/0965-0393/3/1/009
Guan YJ, Sun S, Zhao GQ, Luan YG (2003) Finite element modeling of laser bending of pre-loaded sheet metals. J Mater Process Tech 142(2):400–407. https://doi.org/10.1016/s0924-0136(03)00603-4
Guan YJ, Sun S, Zhao GQ (2002) Study on simulation technology of laser bending under the action of reserved beam stress. China laser 29(8):755–758.
Liu J, Sun S, Guan YJ (2009) Numerical investigation on the laser bending of stainless steel foil with pre-stresses. J Mater Process Technol 209(3):1580–1587. https://doi.org/10.1016/j.jmatprotec.2008.04.006
Liu J, Sun S, Guan YJ, Ji Z (2010) Experimental study on negative laser bending process of steel foils. Laser Eng 48:83–88. https://doi.org/10.1016/j.optlaseng.2009.07.019
Zhang YC (2015) Laser bending of titanium alloy sheet under preload. Forging Technol 040(3):66–69.
Song XH, Wang C (2018) Numerical study on the influence of external load on laser bending. Laser Infrared 048(3):305–310.
Guan YJ (2000) Laser bending mechanism of sheet metal and its three-dimensional finite element simulation. Shandong University
Geiger M, Vollertsen F (1993) The mechanisms of laser forming. CIRP Ann 42:301–304. https://doi.org/10.1016/S0007-8506(07)62448-2
Vollertsen F (1994) An analytical model for laser bending. Laser Eng 261–276
Yau CL, Chan KC, Lee WB (1997) A new analytical model for laser bending. Laser Assist Net Shape Eng 357–366
Chakraborty SS, Maji K, Racherlam V, Nath AK (2015) Investigation on laser forming of stainless steel sheets under coupling mechanism. Opt Laser Technol 71:29–44. https://doi.org/10.1016/j.optlastec.2015.02.013
Shi YJ, Liu YC, Yao ZQ, Shen H (2008) A study on bending direction of sheet metal in laser forming. J Appl Phys 103(5):053101. https://doi.org/10.1063/1.2887995
Guan YJ, Sun S, Luan YG (2004) Analytical study on laser bending angle of sheet metal. Optoelectron Laser:483–486
Zhang JG (2007) Numerical simulation of forging process of TC2 titanium alloy. Nanjing University of Aeronautics and Astronautics
Lu GP, Yan XB, Zhu XP (2017) Study on heat treatment process of TC2 pipe. Nonferrous Metal Process 46(3):31–32.
Liu J, Yu H, Chen C (2017) Research and development status of laser cladding on magnesium alloys: a review. Laser Eng 93:195–210. https://doi.org/10.1016/j.optlaseng.2017.02.007
Liu P, Liu YH, Wei XX (2019) Performance analysis and optimal design based on dynamic characteristics for pressure compensated subsea all-electric valve actuator. Ocean Eng 191:106568. https://doi.org/10.1016/J.OCEANENG.2019.106568
Reichenbach IG, Bohley M, Sousa FG, Aurich JC (2018) Micromachining of PMMA-manufacturing of burr-free structures with single-edge ultra-small micro end mills. Int J Adv Manuf Technol 96:3665–3677
Liu P, Liu YH, Huang ZQ (2019) Design optimization for subsea gate valve based on combined analyses of fluid characteristics and sensitivity. J Petrol Sci Eng 182:106277. https://doi.org/10.1016/J.PETROL.2019.106277
Ni CB, Zhu LD, Liu CF, Yang ZC (2018) Analytical modeling of tool-workpiece contact rate and experimental study in ultrasonic vibration-assisted milling of Ti–6Al–4V. Int J Mech Sci 142:97–111. https://doi.org/10.1016/J.IJMECSCI.2018.04.037
Duan ZH, Wu TH, Guo SW, Li ZX (2018) Development and trend of condition monitoring and fault diagnosis of multi-sensors information fusion for rolling bearings: a review. Int J Adv Manuf Technol 96:803–819
Jang PR, Kim CG, Han GP, Ko MC, Kim UC, Kim HS (2019) Influence of laser spot scanning speed on micro-polishing of metallic surface using UV nanosecond pulse laser. Int J Adv Manuf Tech
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Guo, Y., Shi, Y., Wang, X. et al. An analytical model of laser bending angle under preload. Int J Adv Manuf Technol 108, 2569–2577 (2020). https://doi.org/10.1007/s00170-020-05521-5
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DOI: https://doi.org/10.1007/s00170-020-05521-5