Finite Element Analysis of Profile Grinding Temperature

  • Natalia Lishchenko
  • Vasily LarshinEmail author
  • Sergey Uminsky
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The analysis of equations for determining the grinding temperature taking into account the curvature of the grinding profile, is performed. Mathematical models of the temperature field were proposed, which makes it possible to identify the influence of the curvature radius of the surface to be ground on the grinding temperature in the range from a semicircular profile to a linear one as the radius of the semicircular profile tends to infinity. The variation range of the curvature radius is established, in which the curvature of the profile being ground can be neglected when calculating the grinding temperature. The influence of the profile curvature radius on the maximum grinding temperature was established using both direct calculating and computer simulating of the temperature field by the analytical model and the finite element method (FEM), respectively. Grinding temperature FEM simulation results differ by no more than 0.5% compared to the analytical model under otherwise similar conditions. It is established that the FEM simulation is more suitable due to its greater sophistication, which makes it possible considering the individual geometric features of the surface to be ground as well as any instantaneous distribution of the heat flux in the grinding zone. At the same time, an analytical model for direct calculating of the grinding temperature takes much less time to get a result and can be used in computer monitoring and grinding diagnosing of subsystems on CNC machines.


Curvature radius Temperature field Heat flux Analytical model Finite element method FEM simulation 


  1. 1.
    Larshin, V., Lishchenko, N.: Gear grinding system adapting to higher CNC grinder throughput. MATEC Web Conf. 226, 04033 (2018)CrossRefGoogle Scholar
  2. 2.
    Larshin, V., Lishchenko, N.: Adaptive profile gear grinding boosts productivity of this operation on the CNC machine tools. In: Ivanov, V., et al. (eds.) CONFERENCE 2019, LNME, pp. 79–88. Springer, Cham (2019)Google Scholar
  3. 3.
    Deivanathan, R., Vijayaraghavan, L.: Theoretical analysis of thermal profile and heat transfer in grinding. Int. J. Mech. Mater. Eng. (IJMME) 8(1), 21–31 (2013)Google Scholar
  4. 4.
    Tan, J., Jun, Y., Siwei, P.: Determination of burn thresholds of precision gears in form grinding based on complex thermal modelling and Barkhausen noise measurements. Int. J. Adv. Manuf. Technol. 88(1–4), 789–800 (2017)Google Scholar
  5. 5.
    Jun, Y., Ping, L.: Temperature distributions in form grinding of involute gears. Int. J. Adv. Manuf. Technol. 88(9–12), 2609–2620 (2017)CrossRefGoogle Scholar
  6. 6.
    González-Santander, J.L.: Maximum temperature in dry surface grinding for high Peclet number and arbitrary heat flux profile. Hindawi Publishing Corporation Mathematical Problems in Engineering, pp. 1–9 (2016)Google Scholar
  7. 7.
    Foeckerer, T., Zaeh, M., Zhang, O.: A three-dimensional analytical model to predict the thermo-metallurgical effects within the surface layer during grinding and grind-hardening. Int. J. Heat Mass Transf. 56, 223–237 (2013)CrossRefGoogle Scholar
  8. 8.
    Lishchenko, N., Larshin, V.: Comparison of measured surface layer quality parameters with simulated results. Appl. Aspects Inf. Technol. 2(4), 304–316 (2019)Google Scholar
  9. 9.
    Zhang, L.: Numerical analysis and experimental investigation of energy partition and heat transfer in grinding. In: Salim Newaz Kazi, M. (eds.) Heat Transfer Phenomena and Applications, Sense Publishers, Rotterdam, The Netherlands (2012)Google Scholar
  10. 10.
    Tahvilian, A.M., Champliaud, H., Liu, Z., Hazel, B.: Study of workpiece temperature distribution in the contact zone during robotic grinding process using finite element analysis. In: 8th CIRP Conference on Intelligent Computation in Manufacturing Engineering, Ischia, Italy, pp. 205–210 (2013)Google Scholar
  11. 11.
    Li Hao, N., Axinte, D.: On a stochastically grain-discretised model for 2D/3D temperature mapping prediction in grinding. Int. J. Mach. Tools Manuf 116, 1–27 (2017)CrossRefGoogle Scholar
  12. 12.
    Jermolajev, S., Epp, J., Heinzel, C., Brinksmeier, E.: Material modifications caused by thermal and mechanical load during grinding. In: 3rd CIRP Conference on Surface Integrity (CIRP CSI) (2016). Procedia CIRP 45, 43–46Google Scholar
  13. 13.
    Jermolajev, S., Brinksmeier, E., Heinzel, C.: Surface layer modification charts for gear grinding. CIRP Ann. Manuf. Technol. 67(1), 333–336 (2018)CrossRefGoogle Scholar
  14. 14.
    Heinzel, C., Sölter, J., Jermolajev, S., Kolkwitz, B., Brinksmeier, E.: A versatile method to determine thermal limits in grinding. In: 2nd CIRP Conference on Surface Integrity (CSI) (2014). Procedia CIRP, vol. 13, pp. 131–136Google Scholar
  15. 15.
    Vrkoslavová, L., Louda, P., Malec, J.: Analysis of surface integrity of grinded gears using Barkhausen noise analysis and X-ray diffraction. In: 40th Annual Review of Progress in Quantitative Nondestructive Evaluation APP Conference Proceedings, vol. 1581, pp. 1280–1281 (2014)Google Scholar
  16. 16.
    Crow, J.R., Michael, A.: Pershing standard samples for grinder burn etch testing. Gear Technology, pp. 54–56 (2018)Google Scholar
  17. 17.
    Zaborowski, T., Ochenduszko, R.: Grinding burns in the technological surface of the gear teeth of the cylindrical gears. MECHANIK NR 90, 880–884 (2017)Google Scholar
  18. 18.
    de Lima, A., Gâmbaro, L.S., Junior, M.V., Baptista, E.B.: The use of cylindrical grinding to produce a martensitic structure on the surface of 4340 steel. J. Braz. Soc. Mech. Sci. Eng. 33, 34–40 (2011)CrossRefGoogle Scholar
  19. 19.
    Rena, X., Hu, H.: Analysis on the temperature field of gear form grinding. Appl. Mech. Mater. 633–634, 809–812 (2014)Google Scholar
  20. 20.
    Beizhi, L., Dahu, Z., Zhenxin, Z., Qiang, Z., Yichu, Y.: Research on workpiece surface temperature and surface quality in high-speed cylindrical grinding and its inspiration. Adv. Mater. Res. 325, 19–27 (2011)CrossRefGoogle Scholar
  21. 21.
    Lishchenko, N., Larshin, V.: Gear-grinding temperature modeling and simulation. In: Radionov, A., et al. (eds.) Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019), vol. 2, pp. 289–297. Springer (2019)Google Scholar
  22. 22.
    Yadav, R.K.: Analysis of grinding process by the use of finite element methods. ELK Asia Pacific J. Manuf. Sci. Eng. 1(1), 35–42 (2014)Google Scholar
  23. 23.
    Linke, B., Duscha, M., Vu, A.T., Klocke, F.: FEM-based simulation of temperature in speed stroke grinding with 3D transient moving heat sources. Adv. Mater. Res. 223, 733–742 (2011)CrossRefGoogle Scholar
  24. 24.
    Sharma, C., Ghosh, S., Talukdar, P.: Finite element analysis of workpiece temperature during surface grinding of inconel 718 alloy. In: 5th International & 26th All India Manufacturing Technology, Design and Research Conference, IIT Guwahati, Assam, India, pp. 420-1–420-6 (2014)Google Scholar
  25. 25.
    Patil, P., Patil, C.: FEM simulation and analysis of temperature field of environmental friendly MQL grinding. In: Proceedings of the International Conference on Communication and Signal Processing 2016 (ICCASP 2016), pp. 182–186 (2017)Google Scholar
  26. 26.
    Lishchenko, N., Larshin, V.: Temperature models for grinding system state monitoring. Appl. Aspects Inf. Technol. 2(3), 216–229 (2019)Google Scholar
  27. 27.
    Chen, X., Öpöz, T.: Effect of different parameters on grinding efficiency and its monitoring by acoustic emission. Prod. Manuf. Res. Open Access J. 4(1), 190–208 (2016)Google Scholar
  28. 28.
    Carslaw, H.S., Jaeger, J.C.: Conduction of Heat in Solids, 2nd edn. Oxford University Press, Oxford (1959)zbMATHGoogle Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Odessa National Academy of Food TechnologiesOdessaUkraine
  2. 2.Odessa National Polytechnic UniversityOdessaUkraine
  3. 3.Odessa State Agrarian UniversityOdessaUkraine

Personalised recommendations