A Combined Numerical/Experimental Continuation Approach Applied to Nonlinear Rotor Dynamics

D. Rezgui, M. Lowenberg, P. Bunniss

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

Abstract

Presented with complex systems exhibiting nonlinear behaviour, engineers in industry may face difficulties in understanding the system, both from a mathematical modeling perspective and also when trying to set up representative experiments. Here, a systematic approach combining numerical and experimental parameter continuation is applied to the investigation of complex nonlinear rotor behaviour. The aim is to show the benefits of co-ordinating numerical and physical tests in order to build a mathematical model that adequately captures the system dynamics. In this study the problem involves a dynamical system operating in a nonlinear periodic manner, with constraints on its states and parameters. The system is an autogyro rotor for which the approach generates a simple mathematical model yielding multiple possible autorotative conditions not previously identified in a systematic way; it also provides an explanation for unsafe operating scenarios.

Original languageEnglish
Title of host publicationPROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2008
EditorsAD Fitt, J Norbury, H Ockendon, RE Wilson
Place of PublicationBERLIN
PublisherSpringer-Verlag Berlin
Pages169-174
Number of pages6
ISBN (Print)978-3-642-12109-8
DOIs
Publication statusPublished - 2010
Event15th European Conference on Mathematics for Industry - London, United Kingdom
Duration: 30 Jun 20084 Jul 2008

Conference

Conference15th European Conference on Mathematics for Industry
CountryUnited Kingdom
CityLondon
Period30/06/084/07/08

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