Abstract In this study, a time-domain hydro-elastic model is developed to solve the floater-connector-mooring coupled system. The frequency-domain model is first devised with the discrete-modulus-based method in which the deformable floating structure is modeled with multiple rigid bodies connected by high-order beam elements. The corresponding multi-body hydrodynamic coefficients and loads are estimated by 3D potential theory with the coupling stiffness matrix based on the theory of the Euler-Bernoulli beam and Saint-Venant torsion. The time-domain hydro-elastic model with mooring dynamics is then subsequently developed with multi-body Cummins equation with high-order rod-FE (Finite Element) mooring elements connected to relevant floaters. The present frequency- and time-domain models are validated through comparisons with published experimental and frequency-domain results for a VLFS (Very Large Floating Structure) without mooring lines. The present method directly solves the hydro-elastic problem with mooring lines without using the conventional modal superposition method, for which wet modes with mooring need to be obtained in a priori through cumbersome iterations. The developed hydro-elasticity model is also very useful when complex inner structure-connection conditions, such as discontinuity by multiple hinged joints, are involved. Such an example is also numerically tested, and reliable results are obtained. Vertical flexible displacements, bending and torsional moments, shear forces, and mooring tensions in regular and irregular wave conditions are systematically analyzed and compared with rigid-body and without-mooring cases.

中文翻译：

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规则和不规则波浪中的多浮子-系泊耦合时域水弹性分析

摘要 在这项研究中，建立了一个时域水弹性模型来求解浮子-连接器-系泊耦合系统。频域模型首先使用基于离散模量的方法设计，其中可变形浮动结构由多个刚体通过高阶梁单元连接而成。相应的多体流体动力学系数和载荷通过基于欧拉-伯努利梁和圣维南扭转理论的耦合刚度矩阵通过 3D 势理论估计。随后使用多体康明斯方程开发具有系泊动力学的时域水弹性模型，其中高阶杆式有限元（Finite Element）系泊元件连接到相关漂浮物。目前的频域和时域模型通过与已发表的没有系泊缆绳的 VLFS（超大型浮动结构）的实验和频域结果进行比较而得到验证。本方法直接解决了系泊缆的水弹性问题，没有使用传统的模态叠加方法，需要通过繁琐的迭代先验地获得具有系泊的湿模态。当涉及复杂的内部结构连接条件（例如多个铰接接头的不连续性）时，开发的水弹性模型也非常有用。这样的例子也进行了数值测试，得到了可靠的结果。垂直挠性位移、弯矩和扭矩、剪切力、