Eigenvalue curve veering in stressed structures: an experimental study

Jonathan Luke du Bois, Sondipon Adhikari, Nick A.J. Lieven

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

There have been extensive research works on the veering phenomenon in dynamic systems. As eigenvalues change under parametric variation, converging loci are commonly seen to veer away suddenly in a small region of the graph such that the modes swap trajectories. All of the modal properties are swapped in the process, leading to some curious behaviour in the transition zone. Theoretical studies of this behaviour have been reported for half a century but despite this heritage, explicit references to experimental results are scarce. In this paper detailed experimental and numerical investigations on veering are reported. The parameter varied is the internal pre-load of a redundant frame. An FE model is presented and stress stiffening approximations are employed to obtain a tangent stiffness for a nonlinear static solution, which is then used in a linear dynamic analysis. Experimental results are given and the behaviour is found to correspond well with the analytical results. In particular the mode shape variation is found to be consistent, and the implications of this finding with regard to modal correlation and model validation are noted. Analyses of the mode shapes in terms of eigenvector rotations are presented and are found to form a valuable tool for the interpretation of experimental results.
Original languageEnglish
Pages (from-to)1117-1124
Number of pages8
JournalJournal of Sound and Vibration
Volume322
Issue number4-5
Early online date18 Jan 2009
DOIs
Publication statusPublished - 1 May 2009

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eigenvalues
modal response
curves
Eigenvalues and eigenfunctions
Dynamic analysis
Dynamical systems
stiffening
Trajectories
Stiffness
loci
tangents
stiffness
eigenvectors
trajectories
approximation

Cite this

Eigenvalue curve veering in stressed structures: an experimental study. / du Bois, Jonathan Luke; Adhikari, Sondipon; Lieven, Nick A.J.

In: Journal of Sound and Vibration, Vol. 322, No. 4-5, 01.05.2009, p. 1117-1124.

Research output: Contribution to journalArticle

du Bois, Jonathan Luke ; Adhikari, Sondipon ; Lieven, Nick A.J. / Eigenvalue curve veering in stressed structures: an experimental study. In: Journal of Sound and Vibration. 2009 ; Vol. 322, No. 4-5. pp. 1117-1124.
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