Distributed parameter modeling of flexible ball screw drives using ritz series discretization

Benjamin Henke, Oliver Sawodny, Rüdiger Neumann

Research output: Contribution to journalArticlepeer-review


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 use of problem-specific basis functions allows for a low-order approximation, making the model especially well suited for control design. The model shows excellent validation results and reproduces the variation of the resonance frequencies with high accuracy.

Original languageEnglish
Article number6867385
Pages (from-to)1226-1235
Number of pages10
JournalIEEE/ASME Transactions on Mechatronics
Issue number3
StatePublished - 1 Jun 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 1996-2012 IEEE.


  • Automation
  • Distributed parameter systems
  • Modeling

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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