Hydroelastic responses of floating elastic surfaces to incident nonlinear waves of solitary and cnoidal type are studied. There are N number of the deformable surfaces, and these are represented by thin elastic plates of variable properties and different sizes and rigidity. The coupled motion of the elastic surfaces and the fluid are solved simultaneously within the framework of linear beam theory for the structures and the nonlinear Level I Green–Naghdi theory for the fluid. The water surface elevation, deformations of the elastic surfaces, velocity and pressure fields, wave reflection and transmission coefficients are calculated and presented. Results of the model are compared with existing laboratory measurements and other numerical solutions. In the absence of any restriction on the nonlinearity of the wave field, number of surfaces, their sizes and rigidities, a wide range of wave–structure conditions are considered. It is found that wave reflection from an elastic surface changes significantly with the rigidity, and the highest reflection is observed when the plate is rigid (not elastic). It is also found that due to the wave–structure interaction, local wave fields with different length and celerity are formed under the plates. In the case of multiple floating surfaces, it is observed that the spacing between plates has more significant effect on the wave field than their lengths. Also, the presence of relatively smaller floating plates upwave modifies remarkably the deformation and response of the downwave floating surface.

研究了浮动弹性表面对入射的非线性和孤子状和弦状类型的水弹性响应。有N数量的可变形表面，这些由具有可变特性，不同尺寸和刚度的薄弹性板表示。弹性表面和流体的耦合运动可以在线性梁理论框架和非线性I级Green-Naghdi理论框架内同时解决。计算并给出了水面高程，弹性表面的变形，速度和压力场，波反射和透射系数。将模型结果与现有实验室测量结果和其他数值解决方案进行比较。在对波场的非线性，表面的数量，其大小和刚度没有任何限制的情况下，应考虑广泛的波结构条件。已经发现，弹性表面的波反射随刚度而发生显着变化，并且当板是刚性的（非弹性）时，观察到的反射最大。还发现由于波与结构的相互作用，在板下形成了具有不同长度和速度的局部波场。在多个浮动表面的情况下，可以观察到，板之间的间距比其长度对波场的影响更大。而且，相对较小的浮板在波上的存在显着地改变了波下浮面的变形和响应。板下形成不同长度和速度的局部波场。在多个浮动表面的情况下，可以观察到，板之间的间距比其长度对波场的影响更大。而且，相对较小的浮板在波上的存在显着地改变了波下浮面的变形和响应。板下形成不同长度和速度的局部波场。在多个浮动表面的情况下，可以观察到，板之间的间距比其长度对波场的影响更大。而且，相对较小的浮板在波上的存在显着地改变了波下浮面的变形和响应。