Publication detail

Effects of nonlinear behaviour of linear ball guideway on chatter frequency of lathe machine tool

HADRABA, P. WANG, J. HADAŠ, Z.

Original Title

Effects of nonlinear behaviour of linear ball guideway on chatter frequency of lathe machine tool

Type

journal article in Web of Science

Language

English

Original Abstract

Linear ball guideways (LBGs) have several advantages for the precise positioning control of machine tools. However, the ball-groove contact behaviour leads to poor dynamic compliance, which induces a significant nonlinear behaviour of the guideway and a poor chatter stability. The nonlinearity complicates the chatter prediction due to the dependence of the contact stiffness. This approach aims to offer an industrially orientated method of estimation of chatter stability for structures based on LBG. Consequently, the present study first employs Hertzian contact theory to describe the ball-groove contact behaviour in the LBG of a lathe machine. Two static models are presented, both predict the LBG stiffness under different cutting loads. The first model describes is simplified, ignores the effects of the contact force on the deformation of the guideway components, even with that limitation depicts the main behaviour of the system. The second model is more precise and adopts a dynamic substructuring cosimulation method to incorporate the effects of structural deformation into the analysis. For both models, a linearisation approach is employed to analyse the dynamic behaviour of the system under static loading and define the dynamic compliance. The chatter frequencies of the LBG are estimated using the second model and are shown to be in good agreement with the experimental results. In general, the results of the analysis show that fundamental shifts in the frequency response of the LBG occur under specific values of the cutting force and gravity load. In other words, the results confirm that this method provides sufficient estimation of nonlinear behaviour of machine tool based on the LBG.

Keywords

Chatter; Nonlinear dynamics; Linear ball guideway; Lathe

Authors

HADRABA, P.; WANG, J.; HADAŠ, Z.

Released

24. 2. 2023

Publisher

SPRINGER LONDON LTD

Location

LONDON

ISBN

0268-3768

Periodical

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY

Year of study

126

Number

1-2

State

United Kingdom of Great Britain and Northern Ireland

Pages from

225

Pages to

240

Pages count

16

URL

https://link.springer.com/article/10.1007/s00170-023-11079-9

BibTex

@article{BUT183339,
  author="Petr {Hadraba} and JIUNN-JYH {WANG} and Zdeněk {Hadaš}",
  title="Effects of nonlinear behaviour of linear ball guideway on chatter frequency of lathe machine tool",
  journal="INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY",
  year="2023",
  volume="126",
  number="1-2",
  pages="225--240",
  doi="10.1007/s00170-023-11079-9",
  issn="0268-3768",
  url="https://link.springer.com/article/10.1007/s00170-023-11079-9"
}