Localisation and curve veering: A different perspective on modal interactions

Jonathan L Du Bois, Nick A. J. Lieven, Sondipon Adhikari

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

The interaction of vibration modes subject to parametric variation has long been observed to cause curious effects, notably those of localisation and frequency curve veering. These phenomena have great significance in practical applications: localisation is responsible for unexpectedly high levels of response in periodic structures, for example in turbine rotor assemblies, and frequency curve veering has shown correlation with a variety of critical behaviours, for example in the stability analysis of helicopter vibrations. This paper presents an in-depth analysis of the behaviour and derives new system properties with respect to parameter perturbations. The properties offer a different perspective on the interaction of vibration modes and the fresh insight is demonstrated with reference to some example problems. The paper details how the approach will lead to optimisations in existing computational algorithms and examples are given. Two normalised criteria are suggested to standardise the approach to such problems. Combining these criteria produces a veering index which is proposed as a definitive measure of the presence and intensity of curve veering.
Original languageEnglish
Number of pages11
Publication statusPublished - 2009
EventIMAC XXVII: Conference & Exposition on Structural Dynamics - Model Verification & Validation - Orlando, Florida, USA United States
Duration: 9 Feb 200912 Feb 2009

Conference

ConferenceIMAC XXVII: Conference & Exposition on Structural Dynamics - Model Verification & Validation
CountryUSA United States
CityOrlando, Florida
Period9/02/0912/02/09

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    Du Bois, J. L., Lieven, N. A. J., & Adhikari, S. (2009). Localisation and curve veering: A different perspective on modal interactions. Paper presented at IMAC XXVII: Conference & Exposition on Structural Dynamics - Model Verification & Validation, Orlando, Florida, USA United States.