On the concept of negative damping Workshop on “Mathematical challenges and modelling of hydro elasticity” International Centre for Mathematical Sciences, Edinburgh, June 2010 Ove T. Gudmestad and Axel A. Bonnaud University of Stavanger, Norway. Abstract.
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On the concept of negative dampingWorkshop on “Mathematical challenges and modelling of hydro elasticity”International Centre for Mathematical Sciences, Edinburgh, June 2010Ove T. Gudmestad and Axel A. BonnaudUniversity of Stavanger, Norway
the case =1
b(t) = sin(kt)|sin(kt)| (5)
We have thus demonstrated that an apparent negative damping give rise to “burst type” of displacements (an oscillatory instability). We will look into different examples of apparent negative damping terms.
such that: Ured =
Amplitude of the response of a “piggyback” pipeline geometry. D + ½ D plotted against Ured, Hang (2009).
Figure 5 Ice Accretion on cables; (a) rough condition, (b) round profile due to continuous rotation (Havard, D.G and Lilien, J.L, 2007)
c(t) c0 + c(t) consisting of one linear term c0 and one time-varying term c(t) as was discussed previously.
see Figure 7
Snapshot of the time series showing the structure’s vertical velocity at the “suction can” top is larger than water particle velocity at the same location indicating role of drag as damping