A first-order analytical theory on a truncated and surface-piercing vertical circular cylinder with a circular plate mounted at the bottom of the cylinder was generalized to solve the linear wave diffraction and radiation problems based on potential flow and the hypothesis of small wave and motion amplitudes. The domain was decomposed, and the linearized velocity potentials were derived in each subdomain and matched on each subdomain interface employing pressure and normal velocity continuity. The linear hydrodynamic loads obtained with the analytical method were compared with the results of linear boundary element method (BEM) solvers. Dedicated experimental campaigns were performed on fixed models with regular waves (diffraction) and then on models oscillating in surge, heave, and pitch motions without incident waves (radiation). The analytical method describes well the wave excitation loads from the experiments for small wave steepness (). The predictions of added mass and damping are shown to be applicable to the surge motion, only for small Keulegan-Carpenter numbers (). On the other hand, the analytically predicted radiated waves demonstrate satisfactory agreement with experiments for all motions.

中文翻译：

---

深浅吃水深度截头圆柱垂荡板水波的线性衍射和辐射理论

推广了底部装有圆板的截头穿面立式圆柱体的一阶解析理论，以解决基于势流和小波及运动假设的线性波衍射和辐射问题振幅。该域被分解，并且在每个子域中导出线性化速度势，并利用压力和法向速度连续性在每个子域界面上进行匹配。将通过解析方法获得的线性水动力载荷与线性边界元法（BEM）求解器的结果进行比较。在具有规则波（衍射）的固定模型上进行了专门的实验活动，然后在没有入射波（辐射）的情况下在纵荡、升沉和俯仰运动中振荡的模型上进行了专门的实验活动。解析方法很好地描述了小波陡度实验中的波激励载荷 ()。附加质量和阻尼的预测显示适用于喘振运动，仅适用于较小的 Keulegan-Carpenter 数 ()。另一方面，分析预测的辐射波与所有运动的实验都表现出令人满意的一致性。