Parametric modal analysis of mechanical systems with an application to a ball screw model

Philipp Wittmuess, Benjamin Henke, Cristina Tarin, Oliver Sawodny

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

Abstract

In control design for mechatronic systems, it is crucial to know the characteristic frequencies of the system. They are not necessarily constant but may vary in dependence on the environment conditions or the operating point. A method to obtain a parameter dependent representation of the characteristic frequencies of a second order system with negligible damping is presented. Starting from a polynomial representation of the mass and stiffness matrix, a Taylor series type representation of the characteristic frequencies is obtained. As a by-product, Taylor series expansions for the corresponding eigenmodes are obtained. The method is applied to a ball screw model, which are mechanical structures with high dynamics and significant resonance behavior. The resonance frequencies depend especially on slide position and load mass which vary during normal operation. It is crucial for controller design to know the resonance frequencies in dependence on the current operating conditions to avoid excitation at these frequencies. It is shown that the described method captures the resonance frequency change for a broad range of operating conditions.

Original languageEnglish
Title of host publication2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages441-446
Number of pages6
ISBN (Electronic)9781479977871
DOIs
StatePublished - 4 Nov 2015
Externally publishedYes
EventIEEE Conference on Control and Applications, CCA 2015 - Sydney, Australia
Duration: 21 Sep 201523 Sep 2015

Publication series

Name2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings

Conference

ConferenceIEEE Conference on Control and Applications, CCA 2015
Country/TerritoryAustralia
CitySydney
Period21/09/1523/09/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

ASJC Scopus subject areas

  • Control and Systems Engineering

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