Skip to main content
SpringerLink
Log in

A method of measuring the frequency response function of the tool point based on the surface of feeding system

  • Technical Paper
  • Published:
International Journal on Interactive Design and Manufacturing (IJIDeM) Aims and scope Submit manuscript

Abstract

In the existing method of predicting the frequency response function of the tool point, the effect of lathe feed system is considered in the tool point frequency response function. The junction surface affects the tool point frequency response function, and the junction surface include: bearing–lead screw, lead screw–nut, working bench-guide rail, tool holder–turning tool. The lathe machining system is divided into four substructures, and the lead screw–nut junction surface and workbench-guide rail junction surface have a significant effect in the tool point frequency response function, so we mainly considered the impact of these junctions surface. Through the junction surface stiffness and junction surface damping to obtain a small response at the junction surface. And the frequency response function of the substructure is obtained by hammering method and Timoshenko beam model. Finally, the frequency response function of the substructure end is coupled with the vibration response of the lead screw–nut and workbench-guide rail by the response coupling method, and finally we get the tool point frequency response function. The CA6140 lathe was used as the experimental object, and the frequency response function of the tool point is predicted by above method. The experimental results show that the predicted tool point frequency response function has a high degree of coincidence. The method proposed in this paper can quickly get the frequency response function of the tool point which laid a foundation for the accurate prediction of static and dynamic characteristics of machine tool.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Tang, X., Peng, F., Yan, R., et al.: An effective time domain model for milling stability prediction simultaneously considering multiple modes and cross-frequency response function effect. Int. J. Adv. Manuf. Technol. 86(1), 1–18 (2016)

    Google Scholar 

  2. Zhang, J., Li, J., Xie, Z., et al.: Rapid dynamics prediction of tool point for bi-rotary head five-axis machine tool. Precis. Eng. 48, 203–215 (2016)

    Article  Google Scholar 

  3. Wang S.: Analyzed the stability analysis of high-speed milling and predictied the frequency response function of tool point. Northeastern University (2012)

  4. Chai, Y.G., Meng, D.H., Long, X.H., et al.: Analysis of dynamic characteristics of high speed Spindle–Holder–Tool system. Noise Vib. Control 33(6), 25–30 (2013)

    Google Scholar 

  5. Schmitz, T.L., Donaldson, R.R.: Predicting high-speed machining dynamics by substructure analysis. CIRP Ann. - Manufact. Technol. 49(1), 303–308 (2000)

    Article  Google Scholar 

  6. Schmitz, T., Duncan, G.S.: Receptance coupling for dynamics prediction of assemblies with coincident neutral axes. J. Sound Vib. 289, 1045–1065 (2006)

    Article  Google Scholar 

  7. Ganguly, V., Schmitz, T.L.: Spindle dynamics identification using particle swarm optimization. J. Manuf. Process. 15(4), 444–451 (2013)

    Article  Google Scholar 

  8. Cheng, C.-H., Schmitz, T.L., Scott Duncan, G.: Rotating tool point frequency response prediction using RCSA. Mach. Sci. Technol. 11(3), 433–446 (2007)

    Google Scholar 

  9. Zhu, J.: Measurement method of tool point frequency function based on precision modeling of milling cutters. Hit 35(16), 142–151 (2016)

    Google Scholar 

  10. Rezaei M.M., Movahhedy M.R., Ahmadian M.T., et al.: Development of inverse receptance coupling method for prediction of milling dynamics. In: ASME 2010 Biennial Conference on Engineering Systems Design and Analysis, pp. 339–346 (2010)

  11. Qi, B.: Study on parameter identification of cutter joint and prediction of frequency response function of tool point. Mech. Eng. 10, 11–13 (2016)

    Google Scholar 

  12. Ahmadian, H., Nourmohammadi, M.: Tool point dynamics prediction by a three-component model utilizing distributed joint interfaces. Int. J. Mach. Tools Manuf. 50(11), 998–1005 (2010)

    Article  Google Scholar 

  13. Duncan, G.S., Schmitz, T.L.: An improved RCSA model for tool point frequency response prediction. In: Proceedings of the 23rd International Modal Analysis Conference, Orlando. 30 January–3 February (2005)

  14. Kumar, U.V., Schmitz, T.L.: Spindle dynamics identification for receptance coupling substructure analysis. Precis. Eng. 36(3), 435–443 (2012)

    Article  Google Scholar 

  15. Mancisidor, I., Zatarain, M., Munoa, J., et al.: Fixed boundaries receptance coupling substructure analysis for tool point dynamics prediction. Adv. Mater. Res. 223(223), 622–631 (2011)

    Article  Google Scholar 

  16. Chen, J.: Construction and parameter identification of tool holder in high speed hollow hot shank. Shanghai Transp. J. Univ. 50(17), 1005–1011 (2016). (2011, 223(223): 622–631)

    Google Scholar 

  17. Montevecchi, F., Grossi, N., Scippa, A., et al.: Improved RCSA technique for efficient tool-tip dynamics prediction. Prec. Eng. 44, 152–162 (2016)

    Article  Google Scholar 

  18. Zhang, X.: Dynamic Characteristics and Application of Mechanical Junction Surface. China Science and Technology Press, Beijing (2002)

    Google Scholar 

  19. Zhang, J., Xu, G., Wen, S.: Study and prospect of static and dynamic characteristics of mechanical joints. J. Taiyuan Univ. Sci. Technol. 23(03), 276–279 (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin, 150080, China

    Zhe Li, Chao Li, Shuai Chen & Dekuo Ren

  2. Measurement-control Technology and Instrument Key Laboratory of Universities in Heilongjiang province, Harbin University of Science and Technology, Harbin, 150080, China

    Zhe Li

Authors
  1. Zhe Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chao Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shuai Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dekuo Ren
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chao Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, Z., Li, C., Chen, S. et al. A method of measuring the frequency response function of the tool point based on the surface of feeding system. Int J Interact Des Manuf 12, 1361–1370 (2018). https://doi.org/10.1007/s12008-017-0421-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12008-017-0421-0

Keywords

Search

Navigation