Distributed parameter modeling of flexible ball screws using Ritz series discretization

B. Henke, O. Sawodny, R. Neumann

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

Abstract

Ball screw drives are used in automation applications and machine tools to translate rotational motion of an electric motor into translational motion of a slide. Their frequency responses show characteristic torsional and translational resonances. The resonance frequencies vary with the slide position, which is due to the distributed stiffness and inertia of the flexible ball screw. The proposed model treats the ball screw as a flexible element, using Ritz series expansions to obtain a finite approximation of the continuous deformations. The model shows excellent validation results and reproduces the variation of the resonance frequencies with high accuracy.

Original languageEnglish
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
EditorsEdward Boje, Xiaohua Xia
PublisherIFAC Secretariat
Pages10132-10137
Number of pages6
ISBN (Electronic)9783902823625
DOIs
StatePublished - 2014
Externally publishedYes
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: 24 Aug 201429 Aug 2014

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume19
ISSN (Print)1474-6670

Conference

Conference19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
Country/TerritorySouth Africa
CityCape Town
Period24/08/1429/08/14

Bibliographical note

Publisher Copyright:
© IFAC.

Keywords

  • Ball screw drive
  • Distributed-parameter systems
  • Mechanical systems
  • Modelling

ASJC Scopus subject areas

  • Control and Systems Engineering

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