刚性细长柱体倾斜姿态落水冲击的附加质量法

A Study of Water Impact Against a Rigid Slender Cylinder Falling Obliquely with the Added Masses Method

运用切片理论和Ｔａｙｌｏｒ的平面圆柱附加质量表达式，在考虑刚体耦合运动的情况下建立了刚性细长柱体在纵向平面内倾斜姿态落水冲击时的运动方程，利用变步长辛普生积分和变步长龙格－库塔法求得了细长柱体的入水轨迹以及弯矩和剪力分布规律，并指出了最容易产生弯矩。

A practical method of simulating the water impact against a rigid slender cylinder falling obliquely in the water is described. The concepts of the strip theory and Taylors added mass expression for two dimensional cylinder are used to derive the motion equation and the Simpson integral method as well as the Runge Kutta method with variable step length are used to solve it. Numerical calculation gives the trajectory of the falling cylinder and the distribution of the moment and the shearing force along the axis of the cylinder. The position most likely to be damaged by the moment or the shearing force and the time the damage occure analyzed.