Abstract
The dry cutting gear hobbing machine is a specialized manufacturing equipment for small-module gears. During the continuous large-volume gear cutting process, the thermal error plays a major negative role in the quality of gear making. In this paper, based on the convolutional neural network and the denoising auto-encoder algorithm, we developed a new mapping model between features of characteristic signals and the thermal-induced deviation of the spacing between the hob and the workpiece. In the modeling, the temperature change of key thermal points, the hob spindle current signal, and the corresponding thermal-induced deviation trend of spacing between the hob and the worktable in a continuous gear cutting experiment were collected and sampled. Those samples were fed into the TensorFlow framework to train the integrated mathematical structure. Finally, the mapping model was obtained, which was capable to accurately and quickly quantify the thermal error of the YDE-type dry gear hobbing machine. Accordingly, a thermal error compensation system was developed as well. To prove the accountabilities of this newly proposed mapping model as well as the corresponding thermal error compensation system, another continuous gear cutting verification experiment was carried out on the dry gear hobbing machine equipped with this new thermal error compensation system. The experiment results showed that with the help of the newly proposed thermal error model and compensation system, the M values of machined gears, which directly reflected the effect of the thermal error on the gear hobbing accuracy, remained in a practically acceptable range (± 0.02 mm) in the continuous gear cutting, which proved the reliability of our proposed new mapping model.
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References
Liu Z, Tang Q, Li X, Zou Z, Yang Y (2019) A method for thermal characteristics modeling of hob assembly on dry hobbing machine. Proc IME C J Mech Eng Sci 233(7):2262–2274
Li X, Yang Y, Zou Z, Deng F, Wang L, Tang Q (2019) Study on the effect of force-thermal coupling error on the gear hobbing accuracy and its visualization. Int J Adv Manuf Technol 102:583–594
Li X, Yang Y, Zou Z, Liu Z, Wang L, Tang Q (2019) Critical study on the thermal-structural characteristics of worktable assembly of a dry hobbing machine. Int J Adv Manuf Technol 100:179–188
Mareš M, Horejš O, Havlík L (2020) Thermal error compensation of a 5-axis machine tool using indigenous temperature sensors and CNC integrated Python code validated with a machined test piece. Precis Eng 66:21–30
Zimmermann N, Lang S, Blaser P, Mayr J (2020) Adaptive input selection for thermal error compensation models. CIRP Ann 69:485–488
Fu G, Gong H, Gao H, Gu T, Cao Z (2019) Integrated thermal error modeling of machine tool spindle using a chicken swarm optimization algorithm-based radial basic function neural network. Int J Adv Manuf Technol 105:2039–2055
Lei M, Yang J, Wang S, Zhao L, Xia P, Jiang G, Mei X (2019) Semi-supervised modeling and compensation for the thermal error of precision feed axes. Int J Adv Manuf Technol 104:4629–4640
Liu P, Du Z, Li H, Deng M, Feng X, Yang J (2020) A novel comprehensive thermal error modeling method by using the workpiece inspection data from production line for CNC machine tool. Int J Adv Manuf Technol 107:3921–3930
Zapłata J, Pajor M (2019) Piecewise compensation of thermal errors of ball screw driven CNC axis. Precis Eng 60:160–166
Zhou H, Fan K, Gao R (2020) Fast heat conduction-based thermal error control technique for spindle system of machine tools. Int J Adv Manuf Technol 107:653–666
Wang S, Yang Y, Li X, Zhou J, Kang L (2013) Research on thermal deformation of large-scale computer numerical control gear hobbing machines. J Mech Sci Technol 27:1393–1405
Wang S, Qi P, Zhou J (2011) Thermal deformation error analysis and a novel compensation method for NC gear hobbing machine tools. J Chongqing Univ 34(3):13–17
Lee J, Lee J, Yang S (2001) Thermal error modeling of a Horizontal machining center using fuzzy logic strategy. J Manuf Process 3(2):120–127
Cao H, Zhu L, Li X, Chen P, Chen Y (2016) Thermal error compensation of dry hobing machine tool considering workpiece thermal deformation. Int J Adv Manuf Technol 86:1739–1751
Liu Z, Yang B, Ma C, Wang S, Yang Y (2020) Thermal error modeling of gear hobbing machine based on IGWO-GRNN. Int J Adv Manuf Technol 106:5001–5016
Funding
This study is supported by the National Natural Foundation of China (Grant No. 51905064); the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJQN201801146, KJZDM201801101); the Natural Science Foundation of Chongqing (Grant No. Cstc2018jcyjAX0505, Cstc2018jszx-cyzdX0167, 2019JJ04).
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Zou, Z., Yan, W., Ma, W. et al. Development of thermal error mapping model for the dry gear hobbing machine based on CNN-DAE integrated structure and its application. Int J Adv Manuf Technol 113, 2343–2354 (2021). https://doi.org/10.1007/s00170-021-06779-z
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DOI: https://doi.org/10.1007/s00170-021-06779-z