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Title A modified non-linear model for high mass ratio square cylinder.
Sub-Title
Subject Square cylinde, RMS amplitude, Van der Pol model, Vortex induced vibrations (VIV)
Sub-Subject
Author Nadeem Ahmed SHEIKH, Shehryar Manzoor, Shahab Khus
Publish Year 2014
Supervisor
Diss#. http://dx.doi.org/10.1007%2Fs12206-014-1120-4
Chapters
Pages 4989~4996
Text Language English
Accession
Library Section Research Article
Abstract An improved analytical method for the modelling of vortex induced vibrations (VIV) of a square section cylinder is reported. The method is based on a typical structural oscillator coupled to a non-linear wake (Van der Pol) oscillator. Improvements are introduced to the pre-existing analytical methods sorted out from the literature. Dissipation term in the structural oscillator model is modified by the addition of a non-linear damping term. Definition of the wake oscillator is updated simultaneously to include stream-wise force component exerted on the structure. Results show that our modified analytical method correctly predicts the location of peak lock-in amplitude on the amplitude vs reduced-velocity map as observed in recent experiments. The range of lock-in is also reasonably well predicted. The modified method shows that the influence of non-linear structural damping and stream-wise force components cannot be neglected while modelling high mass ratio systems.