Static calculation of the “Spindle unit” elastic system by using transfer matrices method

Authors

DOI:

https://doi.org/10.20535/2521-1943.2017.79.92754

Keywords:

metal-cutting machine tool, spindle unit, elastic-deformation model, decoupling of the elastic system, transfer matrices method

Abstract

Abstract. Methodology, that allows to use the transfer matrices method for the static calculation of spindle unit as elastic system, which consists of a few associate subsystems, has been developed. Restrictions of the dynamic compliances method use for static calculations of «spindle unit» system decomposing has been stated. For such calculations it is suggested to conduct the decoupling of the system with the use of mixed method of indefinable beam systems static calculation. The elastically-deformation model of the «Spindle unit» system, that consist of subsystems: tool, spindle, spindle housing elastically mounted on the machine-tool bed, is being presented. The scheme of decoupling of this system for static calculations has been developed. The analytical solution of task of the elastic displacements calculation in the characteristic points of subsystems has been obtained. The algorithm of static calculation of the «Spindle unit» elastic system has been developed. Offered approach allows applying an identical methodological base for the static and dynamic characteristics simulation of the «Spindle unit» elastic system.

Author Biographies

Yu. M. Danylchenko, Igor Sikorsky Kyiv Polytechnic Institute, Kyiv

Кафедра прикладной механики, зав. кафедрой

Michael Storchak, Institute for Machine Tools, University of Stuttgart

Researcher, DSc in engineering

Author ID: 26656284900

References

  1. Abele, E., Altintas, Y. and Brecher, C. (2010),” Machine Tool Spindle Units”, CIRP Annals-Manufacturing Technology, vol. 59, No.pp.781-802.
  2. Altintas, Y. and Cao, Y. (2005), “Virtual Design and Optimization of Machine Tool Spindles”, CIRP Annals Manufacturing Technology, Vol. 54(1), pp. 379–382.
  3. Homjakov, V.S., Kochinev, N.A. and Sabirov, F.S. (2008), “Modelirovanie i raschet dinamicheskih harakteristik shpindel'nyh uzlov”, Vestnik MGTU “Stankin”, no 4, pp. 15-22.
  4. Danil'chenko, Ju.M., Dorozhko, A.O. and Petrishin, A.I. (2014), “Issledovanie dinamicheskih harakteristik mehanicheskoj sistemy “shpindel'nyj uzel””, Vestnik MGTU “Stankin”, no 1 (28), pp. 81-91.
  5. Ivovich, V.A. (1981), Perehodnye matricy v dinamike uprugih sistem, Spravochnik, Mashinostroenie, Moscow, Russia.
  6. Hatter, D.J. (1973), Matrix computer methods of vibration analysis, Butterworth.
  7. Biderman, V.L. (1972), Prikladnaja teorija mehanicheskih kolebanij, Ucheb. posobie dlja vtuzov, Mashinostroenie, Moscow, Russia.
  8. Danil'chenko, Ju.M., Petrishin, A.I. (2012), “Modelirovanie form kolebanij mehanicheskoj kolebatel'noj sistemy “shpindel'nyj uzel” metallorezhushhego stanka”, Vіsnik NTUU «KPІ», ser. Mashinobuduvannja, no 66, pp. 46-50.
  9. Anohin, N.N. (2000), Stroitel'naja mehanika v primerah i zadachah. Ch. II. Staticheski neopredelimye sistemy, Ucheb. pos., Izd-vo ASV, Moscow, Russia.

Downloads

Published

2017-06-22

How to Cite

[1]
Y. M. Danylchenko and M. Storchak, “Static calculation of the ‘Spindle unit’ elastic system by using transfer matrices method”, Mech. Adv. Technol., no. 1(79), pp. 11–18, Jun. 2017.

Issue

No. 1(79) (2017)

Section

Original study

License

Copyright (c) 2020 Mechanics and Advanced Technologies

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The ownership of copyright remains with the Authors.
 
Authors may use their own material in other publications provided that the Journal is acknowledged as the original place of publication and National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” as the Publisher.

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under CC BY 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work