Optimization of spindle system first natural frequency values using response surface methodology and analysis of variance

Authors

DOI:

https://doi.org/10.15587/1729-4061.2025.320497

Keywords:

spindle optimization, chatter reduction, machining stability, vibration control, lathe spindle

Abstract

The object of this research is the dynamical performance of horizontal lathe spindle systems, which encounter challenges related to vibration and structural integrity during high-precision machining. In particular, the study aims to improve the system’s dynamic performance by raising its first natural frequency to minimize chatter and bolster its capacity to endure operational stresses. The process of optimization was done by utilizing Response Surface Methodology in conjunction with Analysis of Variance, two methodologies that are acknowledged for their efficiency in statistical analysis and experimental design. Modifications were made to the spindle design in two stages: first, the rear bearing location (located at the end of the spindle opposite the chuck) was optimized, and then the shaft geometry was adjusted to improve natural frequency and stress resistance while keeping the overall mass of the system the same. The optimized design achieved an increase in the first natural frequency (from 529.47 Hz to 852.52 Hz) and an enhancement in stress capacity (from 250 MPa to 48.98 MPa), as confirmed by ANSYS V19 simulations. By shifting up the value of the first natural frequency, chatter is less likely to occur. This leads to more stable performance and better machining accuracy under higher operational loads.

These findings are important in precision machining applications, where vibration control and structural integrity are critical to performance. The paper concludes with a detailed comparison between the optimized and non-optimized models, along with an evaluation of the influence of bearing stiffness on system dynamics. The numerical improvements highlight the effectiveness of both Response Surface Methodology (RSM) and Analysis of Variance (ANOVA) in optimizing mechanical system performance

Author Biographies

Mohammad Alzghoul, University of Miskolc

PhD Student

Department of Machine and Product Design

Sarka Ferenc, University of Miskolc

PhD

Institute of Machine and Product Design

Szabó János Ferenc, University of Miskolc

PhD

Institute of Machine and Product Design

References

  1. Zhu, L., Liu, C. (2020). Recent progress of chatter prediction, detection and suppression in milling. Mechanical Systems and Signal Processing, 143, 106840. https://doi.org/10.1016/j.ymssp.2020.106840
  2. Qin, X.-B., Wan, M., Zhang, W.-H., Yang, Y. (2023). Chatter suppression with productivity improvement by scheduling a C3 continuous feedrate to match spindle speed variation. Mechanical Systems and Signal Processing, 188. https://doi.org/10.1016/j.ymssp.2022.110021
  3. Yadav, A., Talaviya, D., Bansal, A., Law, M. (2020). Design of Chatter-Resistant Damped Boring Bars Using a Receptance Coupling Approach. Journal of Manufacturing and Materials Processing, 4 (2), 53. https://doi.org/10.3390/jmmp4020053
  4. de Aguiar, H. C. G., Hassui, A., Suyama, D. I., Magri, A. (2019). Reduction of internal turning surface roughness by using particle damping aided by airflow. The International Journal of Advanced Manufacturing Technology, 106 (1-2), 125–131. https://doi.org/10.1007/s00170-019-04566-5
  5. Jauhari, K. (2018). Vibration reduction of spindle-bearing system by design optimization. Wseas Transactions on Applied and Theoretical Mechanics, 13, 85–91. Available at: https://wseas.com/journals/mechanics/2018/a185911-335.pdf
  6. Lv, Y., Li, C., Tang, Y., Chen, X., Zhao, X. (2020). Towards Lightweight Spindle of CNC Lathe Using Structural Optimization Design for Energy Saving. 2020 IEEE 16th International Conference on Automation Science and Engineering (CASE), 220–225. https://doi.org/10.1109/case48305.2020.9216976
  7. Lin, C.-W. (2014). Optimization of Bearing Locations for Maximizing First Mode Natural Frequency of Motorized Spindle-Bearing Systems Using a Genetic Algorithm. Applied Mathematics, 05 (14), 2137–2152. https://doi.org/10.4236/am.2014.514208
  8. Tong, V.-C., Hwang, J., Shim, J., Oh, J.-S., Hong, S.-W. (2020). Multi-objective Optimization of Machine Tool Spindle-Bearing System. International Journal of Precision Engineering and Manufacturing, 21 (10), 1885–1902. https://doi.org/10.1007/s12541-020-00389-7
  9. Guo, M., Jiang, X., Ding, Z., Wu, Z. (2018). A frequency domain dynamic response approach to optimize the dynamic performance of grinding machine spindles. The International Journal of Advanced Manufacturing Technology, 98 (9-12), 2737–2745. https://doi.org/10.1007/s00170-018-2444-5
  10. Wang, C.-C., Zhuo, X.-X., Zhu, Y.-Q. (2020). Optimization Analysis of Vibration for Grinder Spindle. Sensors and Materials, 32 (1), 407. https://doi.org/10.18494/sam.2020.2603
  11. Krol, O., Porkuian, O., Sokolov, V., Tsankov, P. (2019). Vibration Stability of Spindle Nodes in the Zone of Tool Equipment Optimal Parameters. “Prof. Marin Drinov” Publishing House of Bulgarian Academy of Sciences. https://doi.org/10.7546/crabs.2019.11.12
  12. Árpád, Z. (1999). Gépelemek I. Budapest: Nemzeti Tankönyvkiadó.
  13. ST-35L. Available at: https://www.haas.co.uk/lathes/st-35l/
  14. Stone, B. (2014). Chatter and Machine Tools. Springer International Publishing. https://doi.org/10.1007/978-3-319-05236-6
  15. Ehrich, F. F. (1992). Handbook of Rotordynamics. McGraw-Hill, 452.
  16. Harris, T. A., Kotzalas, M. N. (2006). Essential Concepts of Bearing Technology. CRC Press. https://doi.org/10.1201/9781420006599
Optimization of spindle system first natural frequency values using response surface methodology and analysis of variance

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Published

2025-02-05

How to Cite

Alzghoul, M., Ferenc, S., & Ferenc, S. J. (2025). Optimization of spindle system first natural frequency values using response surface methodology and analysis of variance. Eastern-European Journal of Enterprise Technologies, 1(1 (133), 17–25. https://doi.org/10.15587/1729-4061.2025.320497

Issue

Vol. 1 No. 1 (133) (2025): Engineering technological systems

Section

Engineering technological systems

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Copyright (c) 2025 Mohammad Alzghoul, Sarka Ferenc, Szabó János Ferenc

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