Bifurcation analysis of a parametrically excited inclined cable close to two-to-one internal resonance

Maria Rosaria Marsico, Tzanov V., DJ Wagg, SA Neild, B Krauskopf

Research output: Contribution to journalArticle (Academic Journal)peer-review

25 Citations (Scopus)

Abstract

This paper presents a study of how different vibration modes contribute to the dynamics of an inclined cable that is parametrically excited close to a 2:1 internal resonance. The behaviour of inclined cables is important for the design and analysis of cable-stay bridges. In this work the cable vibrations are modelled by a four-mode model. This type of model has been used previously to study the onset of cable sway motion caused by internal resonances which occur due to the nonlinear modal coupling terms. A bifurcation study is carried out with numerical continuation techniques applied to the scaled and averaged modal equations. As part of this analysis, the amplitudes of the cable vibration response to support inputs is computed. These theoretical results are compared with experimental measurements taken from a 5.4 m long inclined cable with a vertical support input at the lower end. In general this comparison shows a very high level of agreement.
Translated title of the contributionBifurcation analysis of a parametrically excited inclined cable close to two-to-one internal resonance
Original languageEnglish
Pages (from-to)6023 - 6035
Number of pages13
JournalJournal of Sound and Vibration
Volume330
DOIs
Publication statusPublished - Nov 2011

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