箱型气浮结构的垂荡水动力系数解析研究  

Analytical solutions of hydrodynamic coefficient for heave motion by an air-floating rectangular box

作　　者：刘宪庆[1] 辜文杰[1] 别明娟 朱建凯[1] 魏佼琛 

机构地区：[1]后勤工程学院军事工程管理系,重庆401311 [2]后勤工程学院后勤工程检测中心,重庆401311

出　　处：《应用力学学报》2015年第6期1012-1018 1104,1104,共8页Chinese Journal of Applied Mechanics

基　　金：国家高技术研究发展计划资助项目(2012AA051705);后勤工程学院青年科学基金(YQ13-420816)

摘　　要：以箱型气浮结构为例,通过气体绝热方程,考虑气体的压缩性,对气-水交界面处的非线性边界条件进行了推导;基于势流理论,通过特征函数展开,同时匹配渐进法建立了结构的垂荡问题的解析解;研究了在程序求解中截断项数对计算结果敛散性的影响,进而对不同水深、不同吃水情况下的附加质量和辐射阻尼的幅频变化规律进行了讨论。结果表明:为了保证计算的收敛性,截断项数取为50项;随着水深从30m增加到50m,其垂荡的附加质量和辐射阻尼的绝对值呈增大的趋势;随着吃水从8m增加到12m,结构垂荡附加质量和辐射阻尼的绝对值呈增大的趋势。Take an air-floating rectangular box structure as example, the nonlinear boundary condition of air-water interface at the bottom of the structure is deduced by considering air compressibility through adiabatic equation. Based on the potential flow theory, by using the analytical solution of eigenfunction expansion and progressive matching method, effect of the number of truncation on convergence and divergence of calculation results is discussed. The amplitude frequency of added mass and radiation damping are investigated for different water depth-draft ratios and different drafts. It is shown that, to guarantee the convergence of results, the truncation terms number should be 50, the added mass and absolute values of damping increase with water depth growing from 30 m to 50 m. For draft increases from 8m to 12 m, the damping and absolute values of added mass also show an increasing trend.

关 键 词：气浮结构 特征函数 垂荡 附加质量 辐射阻尼 截断项数 

分 类 号：P75[天文地球—海洋科学] P731.2