Abstract
The article describes the method for predicting the thermal characteristics of CNC machine tools working at finishing cutting modes with variable cutting speeds. This allows not taking into account the generation of heat in the main sources due to additional loads from cutting without introducing significant distortions in the adequacy of the mathematical model in the construction of thermal characteristics. The thermodeformation model of the machine is represented by a system of thermal characteristics that describe both its thermal and deformation behavior. A feature of the proposed method is the use of the entire set of approximated experimental thermal characteristics for the complex mode of operation of the machine under consideration. Each approximated thermal characteristic used in the model is formed from the results of the full-scale experiment with a continuous operation of the machine tool at a fixed spindle rotational speed. The mathematical description of each thermal characteristic is based on the experimental modal analysis, in which the modal parameters of the thermodeformation model are determined from the experiment. A feature of the approximated thermal characteristics is their multimodal representation. The results of full-scale and computational experiments are presented in the article.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Leun EV, Leun VI, Shahanov AE (2018) The sapphire tips of the active control devices of detail’s dimensions of produced with hollows and ridges, with the possibility of determining the lateral approximation of ridges. J Phys: Conf Ser 1050:012043. https://doi.org/10.1088/1742-6596/1050/1/012043
Leun EV, Leun VI, Sysoev VK et al (2018) The active control devices of the size of products based on sapphire measuring tips with three degrees of freedom. J Phys: Conf Ser 944:012073. https://doi.org/10.1088/1742-6596/944/1/012073
Mayr J, Jedrzejewski J, Uhlmann E et al (2012) Thermal issues in machine tools. CIRP Ann 61:771–791. https://doi.org/10.1016/j.cirp.2012.05.008
Suzumura F, Makihara H, Ohtani K et al (2011) Thermal deformation prediction in machine tool model by using transfer functions with time delay. Manuf Process Technol. Adv Mater Res 189:4064–4067. https://doi.org/10.4028/www.scientific.net/AMR.189-193.4064. Switzerland Trans Tech Publications
Horejs O, Mares M (2015) Real-time compensation of machine tool thermal errors including cutting process. J Mach Eng 15:5–18
Miao E, Liu Y, Xu J et al (2017) Thermal error modeling method with the jamming of temperature-sensitive points’ volatility on CNC machine tools. Chin J Mech Eng 30:566–577. https://doi.org/10.1007/s10033-017-0109-1
Lee J, Kim DH, Lee CM (2015) A study on the thermal characteristics and experiments of high-speed spindle for machine tools. Int J Precis Eng Manuf 16:293–299. https://doi.org/10.1007/sl2541-015-0039-8
Bushuev VV, Kuznetsov AP, Sabirov FS et al (2016) Trends in research on metal-cutting machines. Russ Eng Res 36:488–495. https://doi.org/10.3103/S1068798X16060083
Kuznetsov AP (2015) Temperature control of metal-cutting machines. Russ Eng Res 35:194–199. https://doi.org/10.3103/S1068798X15030090
Li X (2001) Real-time prediction of workpiece errors for a CNC turning centre, part 2. Modelling and estimation of thermally induced errors. The Int J Adv Manuf Technol 17:654–658. https://doi.org/10.1007/s001700170129
Zhou ZD, Gui L, Tan YG et al (2017) Actualities and development of heavy-duty CNC machine tool thermal error monitoring technology. Chin J Mech Eng 30:1262–1281. https://doi.org/10.1007/s10033-017-0166-5
Mares M, Horejs O (2017) Modelling of cutting process impact on machine tool thermal behaviour based on experimental data. Procedia CIRP 58:152–157. https://doi.org/10.1016/j.procir.2017.03.208
Martinov GM, Obukhov AI, Kozak NV (2018) The usage of error compensation tools of CNC for vertical milling machines. Russ Eng Res 38:119–122. https://doi.org/10.3103/S1068798X18020120
Hou R, Yan Z, Du H et al (2018) The application of multi-objective genetic algorithm in the modeling of thermal error of nc lathe. Procedia CIRP 67:332–337. https://doi.org/10.1016/j.procir.2017.12.222
Guo Q, Xu R, Yang T et al (2016) Application of Gram and AFSACA-BPN to thermal error optimization modeling of CNC machine tools. The Int J Adv Manuf Technol 83(5):995–1002. https://doi.org/10.1007/s00170-015-7660-7
Abdulshahed AM, Longsta AP, Fletcher S et al (2016) Thermal error modelling of a gantry-type 5-axis machine tool using a Grey Neural Network model. J Manuf Syst 41:130–142. https://doi.org/10.1016/j.jmsy.2016.08.006
Li Y, Zhao J, Ji S (2018) Thermal positioning error modeling of machine tools using a bat algorithm-based back propagation neural network. The Int J Adv Manuf Technol 97:2575–2586. https://doi.org/10.1007/s00170-018-1978-x
Eskandari S, Arezoo B, Abdullah A (2013) Positional, geometrical, and thermal errors compensation by tool path modi_cation using three methods of regression, neural networks, and fuzzy logic. The Int J Adv Manuf Technol 65:1635–1649. https://doi.org/10.1007/s00170-012-4285-y
Polyakov AN, Goncharov AN, Kamenev SV (2018) Assessing the temperature error in operational machine tools. Russ Eng Res 38:408–410. https://doi.org/10.3103/S1068798X18050131
Zhang C, Gao F, Yan L (2017) Thermal error characteristic analysis and modeling for machine tools due to time-varying environmental temperature. Precis Eng 47:231–238. https://doi.org/10.1016/j.precisioneng.2016.08.008
Acknowledgements
The reported study was funded by RFBR and Orenburg region according to the research project No. 19-48-560001.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Polyakov, A.N., Goncharov, A.N., Parfenov, I.V. (2020). Method for Predicting Thermal Characteristics of Machine Tools Based on Experimental Modal Analysis. In: Radionov, A., Kravchenko, O., Guzeev, V., Rozhdestvenskiy, Y. (eds) Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019). ICIE 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-22063-1_10
Download citation
DOI: https://doi.org/10.1007/978-3-030-22063-1_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-22062-4
Online ISBN: 978-3-030-22063-1
eBook Packages: EngineeringEngineering (R0)