利用对速度势的分离变量及匹配特征函数展开法,建立波浪对淹没垂直圆柱绕射问题的解析解,通过与边界元方法的对比验证了本方法的正确性,并通过对特征展开项项数及圆柱相对厚度的收敛性测试证明了该方法对较薄圆盘及零厚度圆盘波浪力计算的适用性。基于上述模型,考虑不同淹没深度与相对厚度对圆柱作用力影响,结果表明,圆柱所受到的最大波浪力并不总是随着淹没深度的增大而减小,而圆柱厚度对波浪力的影响则较为复杂,在不同波数范围显示出不同的特性。
By means of the methods of separation of variables and eigen-function expansion-matching for the velocity potential,an analytical solution is developed for wave diffraction by a submerged vertical cylinder in finite water depth under the assumptions of linear theory.It is validated by comparison with the result from a higher order boundary method.Convergent examinations have also been carried out of model number and thickness of thin circular disc and it is applicable for predicting surge,heave and pitch components of wave force for circular disc with small but finite thickness and zero thickness.Based on this analytical solution,numerical examinations are carried out to examine the influences of submerged depth and cylinder length on exciting force on the submerged cylinder.Numerical examinations show that the maximum wave forces are not all decreased with the increase of submerged depth.The influence of cylinder length on wave force is quite complex and different characteristics are shown for different wave number scopes.