在线性势流理论下,采用模态叠加法,通过傅里叶变换和拉普拉斯变换推导了波浪冲击作用下弹性板振动的时域耦合方程,并利用二阶隐式荣格库塔法求解。在对比得知与其他方法结果完全吻合基础上,分析了竖直板初始弯曲释放后,板的边界条件和刚度系数对板振幅以及辐射波高的作用,最后对入射波长对板的振动及辐射波高影响进行了研究。结果表明板的刚度和边界条件对水弹性响应有很大的影响。
: Based on the dynamical theories of water waves, the coupled equation of a vertical elastic plate under wave impact is presen- ted using mode-expansion method, Fourier transform and Laplace transform. Comparisons are made with other results and it is found that this paper' s results are in good agreement with others. The hydroelastic behavior of wave-plate interaction due to an initial deflec- tion of a vertical elastic plate is studied for various values of the plate stiffness and for different edge conditions. Finally, for the inci- dent waves of different wavelength, the effect of responsive amplitudes and radiation wave height are analyzed. It is found that hydro- elastic behavior depends strongly on the plate stiffness and the edge condition.