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基于线性水波理论,采用模态叠加法和有限差分法研究了受波浪冲击作用的竖直板的水弹性响应。流体假定为不可压缩、理想势流。首先基于模态叠加法给出了二维边界条件和四周简支板的运动响应的解析解,与有限差分法求解结果进行对比完全一致,然后运用有限差分法给出了四边固定弹性板运动响应的数值解,最后分析了厚度、波长对板振动、辐射波高的影响。研究发现在有边界约束条件下水弹性作用会加剧板的振动。
Based on the linear water wave theory, the modal superposition method and the finite difference method were used to study the hydroelastic response of the vertical plate subjected to the wave impact. The fluid is assumed to be incompressible and the ideal potential flow. Firstly, based on the modal superposition method, the analytical solutions of the two-dimensional boundary conditions and the motion responses of the simply supported plate are given. The results of the finite difference method are completely consistent with those of the finite difference method. Then the four-sided fixed elastic plate motion response Finally, the effects of thickness and wavelength on plate vibration and radiation wave height are analyzed. It has been found that the hydroelastic behavior under boundary constraints can aggravate the plate vibration.