The article introduces a novel integrated moving element method (IMEM) to hydroelastic analysis of infinitely extended floating plates under moving loads in shallow water conditions. The floating plate is modeled via the Kirchhoff-Love theory, while the linearized shallow-water equation is adopted for the hydrodynamic modeling. Both computational domains of fluid and structure are concurrently discretized into “moving elements” whose coordinate system moves along with applied loads. Accordingly, the paradigm can absolutely eradicate the update procedure of force vector owing to the change of contact point with discretized elements not only for the plate but also for the fluid. Furthermore, the IMEM also requires fewer number of discrete elements than the standard finite element method (FEM) due to their independence with the distance of moving load. Results obtained in several numerical examples are compared with those of the Fourier Transform Method (FTM) to validate the accuracy and effectiveness of the proposed methodology. In addition, the influence of water depth, load speed, multiple contact points, as well as the distance between axles on the dynamic amplification factor of plate displacement and the loading's critical speed is also examined in great detail.

本文介绍了一种新颖的集成移动单元方法（IMEM），用于在浅水条件下移动载荷作用下无限延伸的浮板的水弹性分析。根据基尔霍夫-洛夫理论对浮板进行建模，而采用线性化的浅水方程进行流体动力学建模。流体和结构的两个计算域同时离散化为“运动元素”，其坐标系随施加的载荷一起运动。因此，由于与离散元件的接触点的变化不仅对于板而且对于流体，该范例都可以完全消除力矢量的更新过程。此外，与标准有限元方法（FEM）相比，IMEM还需要较少数量的离散元素，这是因为它们与移动载荷的距离无关。将在几个数值示例中获得的结果与傅里叶变换方法（FTM）的结果进行比较，以验证所提出方法的准确性和有效性。此外，还详细研究了水深，负载速度，多个接触点以及轮轴之间的距离对板位移和负载的临界速度的动态放大系数的影响。