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

机译:内波和背景电流共同激励下立管的动态响应

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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-β 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.
机译:摘要在本研究中,研究了在内部波和背景电流共同激励下立管的动态响应。当存在背景电流时,使用改进的泰勒-戈德斯坦方程来计算内部波的垂直结构。通过施加刚性盖边界条件,该方程用汤普森-哈斯克尔方法求解。基于虚拟工作原理,结合修正的莫里森公式,建立了冒口运动的非线性微分方程。使用Newmark-β方法,在时域中求解运动方程。可以观察到,在前两种模式下,没有电流的内部波对立管的动态响应表现出主导作用。在背景电流的影响下,在波浪沿着和逆流流动的两种情况下,立管的运动位移都会显着增加。在第一模式下的运动中最明显地观察到该现象。

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