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A nonlinear model of vortex-induced forces on an oscillating cylinder in a fluid flow

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Document pages: 22 pages

Abstract: A nonlinear model relating the imposed motion of a circular cylinder,submerged in a fluid flow, to the transverse force coefficient is presented.The nonlinear fluid system, featuring vortex shedding patterns, limit cycleoscillations and synchronisation, is studied both for swept sine and multisineexcitation. A nonparametric nonlinear distortion analysis (FAST) is used todistinguish odd from even nonlinear behaviour. The information which isobtained from the nonlinear analysis is explicitly used in constructing anonlinear model of the polynomial nonlinear state-space (PNLSS) type. Thelatter results in a reduction of the number of parameters and an increasedaccuracy compared to the generic modelling approach where typically no suchinformation of the nonlinearity is used. The obtained model is able toaccurately simulate time series of the transverse force coefficient over a widerange of the frequency-amplitude plane of imposed cylinder motion.

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