In this study, a practical approach to incorporate forward speed and hydro-elasticity effect in the frequency domain is developed. By utilizing the discrete-module-beam (DMB) method, flexible structures are partitioned into multiple rigid bodies that are connected by beam elements. The forward speed effect is taken into consideration in the multi-body hydrodynamics through the slender body and low uniform flow speed approximation, which is called the uniform flow approximation (due to no steady perturbation coupling term considered). By implementing the uniform flow approximation into the multi-body hydrodynamics formulation and then coupling it with the DMB method, any multi-rigid-body radiation–diffraction simulation tools can be extended to solve the linear hydro-elasticity problem with forward speed effect. The present numerical results compare well with published experimental and computational results, including a more direct but much more time-consuming FEM–BEM coupling method. By using the developed computer program, the increase of elastic response and change in dynamic bending moment are assessed for various wave lengths and forward speeds in the case of Wigley hull. The occurrence of hydro-elastic resonance at the first bending mode at certain forward speed is illustrated for a typical operational sea state. The forward speed also changes the wet mode shape, dynamic elastic response, and dynamic bending moment and its distribution along the ship. Encounter frequency, convective term in the pressure formulation and the m-terms contribute to their changes. The effect of local structural damage on the modal characteristics and the resulting hydro-elasticity is also investigated It needs to be noted that due to several approximations (e.g., uniform flow and free-surface approximations), care should be exercised when applying the proposed method.

在这项研究中，开发了一种在频域中合并前进速度和水弹性效应的实用方法。通过使用离散模块梁（DMB）方法，将柔性结构划分为多个通过梁单元连接的刚体。在多体流体动力学中，通过细长体和低均匀流速近似考虑了正向速度效应，这被称为均匀流速近似（由于未考虑稳态扰动耦合项）。通过将均匀流动近似值应用于多体流体动力学公式，然后将其与DMB方法耦合，可以扩展任何多刚性体辐射-衍射模拟工具，以解决具有正向速度效应的线性流体弹性问题。目前的数值结果与已发表的实验和计算结果进行了很好的比较，包括更直接但更耗时的FEM-BEM耦合方法。通过使用开发的计算机程序，对于Wigley船体，可以针对各种波长和前进速度评估弹性响应的增加和动态弯曲力矩的变化。对于典型的操作海况，示出了在第一弯曲模式下在一定向前速度下发生的水弹性共振。前进速度还会改变湿模式的形状，动态弹性响应，动态弯矩及其沿船的分布。遇到频率，压力公式中的对流项以及m项会引起其变化。