【摘要】 研究了在线性连续分层流体中水波与截断圆柱浮体相互作用的问题。在Boussinesq近似下,基于分离变量法,表明了对给定的频率,当它大于浮力频率时,流场中只有一种模态的平面前进波,当它小于浮力频率时,流场中有无数多个模态的平面前进波。基于特征函数匹配理论,建立了作用在截断圆柱浮体上水动力的计算方法。对作用在截断圆柱浮体上的水平波浪力、垂向波浪力和力矩进行了数值计算分析,表明了在某个频率范围内,流体的线性连续分层效应对这些水动力量的影响是不可忽视的。特别地,在入射波频率小于浮力频率时,高阶模态入射波对截断圆柱浮体水动力的影响也是重要的,在海洋工程的实践中应予以特别关注。更多还原

【Abstract】 The interaction of water waves with a floating,truncated cylinder in a continuously stratified fluid was studied.Under the Boussinesq approximation,the analytical expressions were given by use of an eigenfunction macthing method for the exciting forces on the floating,truncated cylinder due to incident waves.For a fixed frequency ω,when ω>N(N being the buoyancy frequency),there is only monochromatic wave pattern with one mode,when ω<N,there are monochromatic wave patterns with infinite modes.The results indicate that density stratification can have a large effect on the exciting forces on the floating,truncated cylinder over a wide range of frequencies.In particular,the exciting forces on the floating,truncated cylinder due to incident waves of the high order modes can not be neglected when ω<N.更多还原