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中文摘要：
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。
英文摘要：
Based on the dynamical theories of water waves, hydroelastic analytic of a vertical elastic plate under wave action was presented using mode-expansion method and finite difference method. The fluid was supposed to be incompressible,inviscid and irrotational. Firstly, the analytic solution of response of plate with two dimensional boundary conditions and completely simple support was given by mode-expansion method,and it was fully consistent with the finite difference method result. Then, the response of plate with completely support was computed with finite difference method. Finally,the responsive amplitudes, radiation wave height affected by wavelength and plate thickness were analyzed. The study results show that the vibration of plate with boundary can be aggravated by hydroelastic effect.
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