The hydro-elastic response of incident wave with a horizontal floating ice-floe on a sea is studied by using linear potential theory. The lower side of the sea is bounded by an adaptable layer with small base distortion. Here, the ice-floe and adaptable bottom surface are modeled as lean uniform elastic plates. In such circumstances, there are two types of time-harmonic proliferating waves that exist in the fluid region. The waves with smaller wavenumber propagate beneath the ice-floe (ice-floe wave mode) and the other propagates along the adaptable sea-bed (adaptable base wave mode). Utilizing perturbation analysis, the initial problem is transferred to a first-order problem. The reduced problem is resolved by using the Fourier transform approach. The first-order approximations of the reflection and transmission coefficients are acquired for both the wave modes. For a particular example of a sinusoidal patch with two distinct wavenumbers is taken up to validate the results. The key benefit of the recent study is that the estimations of reflection and transmission coefficients in the case of both the wave modes are shown to establish the energy relation almost successfully.

利用线性势能理论研究了海上水平漂浮浮冰对入射波的水弹性响应。海洋的下侧由基本变形小的适应层限制。在这里，浮冰和可适应的底面被建模为稀薄均匀的弹性板。在这种情况下，在流体区域中存在两种类型的时间谐波扩散波。波数较小的波在浮冰下传播（冰浮波模式），另一波沿着适应性海床传播（适应性基波模式）。利用摄动分析，将初始问题转换为一阶问题。通过使用傅立叶变换方法可以解决简化的问题。对于两种波模式，都获得了反射系数和透射系数的一阶近似值。对于具有两个不同波数的正弦曲线贴片的特定示例，将采用其来验证结果。最近的研究的主要好处是，在两种波模的情况下，反射和透射系数的估计显示出几乎可以成功地建立能量关系。