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http://dx.doi.org/10.2478/IJNAOE-2013-0205

Dynamic responses of a riser under combined excitation of internal waves and background currents  

Lou, Min (College of Petroleum Engineering, China University of Petroleum)
Yu, Chenglong (College of Petroleum Engineering, China University of Petroleum)
Publication Information
International Journal of Naval Architecture and Ocean Engineering / v.6, no.3, 2014 , pp. 685-699 More about this Journal
Abstract
In this study, the dynamic responses of a riser under the combined excitation of internal waves and background currents are studied. A modified Taylor-Goldstein equation is used to calculate the internal waves vertical structures when background currents exist. By imposing rigid-lid boundary condition, the equation is solved by Thompson-Haskell method. Based on the principle of virtual work, a nonlinear differential equation for riser motions is established combined with the modified Morison formula. Using Newmark-${\beta}$ method, the motion equation is solved in time domain. It is observed that the internal waves without currents exhibit dominated effect on dynamic response of a riser in the first two modes. With the effects of the background currents, the motion displacements of the riser will increase significantly in both cases that wave goes along and against the currents. This phenomenon is most obviously observed at the motions in the first mode.
Keywords
Dynamic response; Internal waves; Background currents; Taylor-goldstein equation; Newmark-${\beta}$ method;
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