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Dynamic responses of classic spar platforms subjected to long crested waves: Morison equation vs. Diffraction theory

机译:长冠波经典翼梁平台的动态响应:Morison方程与衍射理论

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Morison equation, Froude Krylov theory and Diffraction theory are the common theories used to evaluate the wave force for offshore structures. The applicability of these theories is based upon the type and size of the member of the structures. Morison equation is normally used for small structures compared to wave length, while for large structures Diffraction theory needs to be applied. However, in many cases Morison equation has been used to obtain the wave forces for classic spars, which are large offshore structures installed in deepwater. This paper presents the results of numerical investigation of an offshore classic spar platform subjected to long crested waves. Two numerical simulations were developed by incorporating the Morison equation and Diffraction theory to obtain the wave forces. The classic spar was modeled as a rigid body with three degrees of freedom restrained by mooring lines. In the simulation, the mass, damping and stiffness matrices were evaluated at every time step. The equations of motion were formulated for the platform dynamic equilibrium and solved by using Newmark Beta method. The results were obtained in terms of Response Amplitude Operator (RAO) for surge, heave and pitch motions. The dynamic responses obtained were compared.
机译:Morison方程,Froude Krylov理论和衍射理论是用于评估海上结构的波力的常见理论。这些理论的适用性基于结构成员的类型和尺寸。与波长相比,Morison方程通常用于小结构,而对于大结构需要应用衍射理论。然而,在许多情况下,Morison方程已被用于获得经典翼梁的波力,这是安装在深水中的大型海上结构。本文介绍了对长冠波的海上经典翼梁平台的数值调查结果。通过结合Morison方程和衍射理论来制定两个数值模拟以获得波力。经典的翼梁被建模为刚性体,具有通过系泊线限制的三度自由度。在模拟中,在每次步骤中评估质量,阻尼和刚度矩阵。为平台动态平衡配制运动方程,并通过使用纽马克测试方法解决。结果是在响应幅度算子(RAO)的浪涌,升降和俯仰运动方面获得。比较了所得动态响应。

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