气浮箱型结构纵摇运动水动力特性解析研究

Analytical Solutions of Hydrodynamic Characteristics for Pitch Motion by an Air-floating Rectangular Box

基于二维微幅波理论，采用特征函数展开和匹配渐进法建立了气浮箱型结构的纵摇运动的解析解，并通过Maflab软件编制了相应的计算程序，进而对不同吃水、不同水深吃水比的结构纵摇运动附加质量和阻尼的幅频变化规律进行了研究。结果表明，在圆频率不变的情况下，纵摇运动的附加质量主要受结构吃水变化的影响，附加质量随着吃水的增加而增加；而纵摇运动的阻尼受水深和吃水的共同影响，阻尼随着吃水的增加呈增加的趋势，随着水深的增加呈先降低后增加的趋势。

The analytic solutions for pitch motion of an air-floating rectangular box were obtained by eigenfunction expansion and progressive matching method, based on two-dimensional small amplitude wave theory. The amplitude frequency variation of added mass and damping were investigated with different water depth-draft ratios and different drafts by Matlab. It is showed that the added mass of pitch motion is mainly affected by the draft of structure, it is increasing with draft increased in the frequency range ; but the damping of pitch motion is influenced by water depth and draft, it increases with draft increased and has the rule of first rises then descends while the water depth is increased.