Stability switches in a neutral delay differential equation with application to real-time dynamic substructuring

Y. N. Kyrychko*, K. B. Blyuss, A. Gonzalez-Buelga, S. J. Hogan, D. J. Wagg

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

9 Citations (Scopus)

Abstract

In this paper delay differential equations approach is used to model a real-time dynamic substructuring experiment. Real-time dynamic substructuring involves dividing the structure under testing into two or more parts. One part is physically constructed in the laboratory and the remaining parts are being replaced by their numerical models. The numerical and physical parts are connected via an actuator. One of the main difficulties of this testing technique is the presence of delay in a closed loop system. We apply real-time dynamic substructuring to a nonlinear system consisting of a pendulum attached to a mass-spring-damper. We will show how a delay can have (de)stabilising effect on the behaviour of the whole system. Theoretical results agree very well with experimental data.

Translated title of the contributionStability switches in a neutral delay differential equation with application to real-time dynamic substructuring
Original languageEnglish
Title of host publicationModern Practice in Stress and Vibration Analysis VI - Proceedings of the 6th Internaional Conference on Modern Practice in Stress and Vibration Analysis
PublisherTrans Tech Publications Inc
Pages79-84
Number of pages6
Volume5-6
ISBN (Print)0878494189, 9780878494187
DOIs
Publication statusPublished - 2006
Event6th Internaional Conference on Modern Practice in Stree and Vibration Analysis - Bath, United Kingdom
Duration: 5 Sep 20057 Sep 2005

Publication series

NameApplied Mechanics and Materials
Volume5-6
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Conference

Conference6th Internaional Conference on Modern Practice in Stree and Vibration Analysis
CountryUnited Kingdom
CityBath
Period5/09/057/09/05

Keywords

  • Delay equations
  • Pendulum-mass-spring-damper system
  • Real-time dynamic substructuring
  • Stability

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