Finite element formulation of pre-stressed ball screw drives

Michael F. Zaeh, Thomas Oertli

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

In this paper a stiffness matrix of the ball screw drive element is formulated as an approach for substitute modelling of the stiffness conditions at the ball-groove contacts in the engagement region of the ball screw and the nut. A scalar spring model is proposed, for the coupling between the ball screw and the nut with respect to both the stiffness properties and the screw degree of freedom of the ball screw drive. This permits combined modelling and vibration analysis of entire frame structures including ball screw feed drive systems by means of integral finite element models. The feed axis of a feed drives test station serves here as an example for demonstration and for verification of the modelling approach. A reduced order representation of the finite element model is used for simulation of the feed axis in control, the results of which match corresponding measurement results obtained from the test station.

Original languageEnglish
Title of host publicationProceedings of the 7th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2004
PublisherAmerican Society of Mechanical Engineers
Pages289-296
Number of pages8
ISBN (Print)0791841731, 9780791841730
DOIs
StatePublished - 2004
EventProceedings of the 7th Biennial Conference on Engineering Systems Design and Analysis - 2004 - Manchester, United Kingdom
Duration: 19 Jul 200422 Jul 2004

Publication series

NameProceedings of the 7th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2004
Volume3

Conference

ConferenceProceedings of the 7th Biennial Conference on Engineering Systems Design and Analysis - 2004
Country/TerritoryUnited Kingdom
CityManchester
Period19/07/0422/07/04

Keywords

  • Ball screw drive
  • Finite element method
  • Machine tool
  • Mechatronic system

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