基于源汇分布法的浸水结构振动特性分析  

Vibration characteristics of submerged structures based on singularity distribution method

作　　者：熊吕露 王德禹[1,2] 

机构地区：[1]上海交通大学海洋工程国家重点实验室,上海200240 [2]上海交通大学高新船舶与深海开发装备协同创新中心,上海200240

出　　处：《振动与冲击》2017年第17期165-169,共5页Journal of Vibration and Shock

基　　金：财政部;教育部重大专项"船舶数字化智能设计系统"基金(201335)

摘　　要：提出了一个考虑线性波自由液面对浸水结构附连水质量影响的修正方法。基于源汇分布法应用伽辽金法获得线性波自由液面边界条件下虚拟点源位置及流体速度势的近似解,进而得到相应的附连水质量。以部分浸没悬臂板及某舰机舱双层底模型为研究对象,通过MATLAB程序计算它们的前三阶横向振动频率,计算结果分别与实验结果和有限元结果进行比较分析。结果表明该方法不仅可以较为准确地反应线性波自由液面对附连水质量的影响,尤其在结构浅吃水或低频振动的情况下修正效果更为明显,而且避免了求解大型动力学方程,提高了计算效率。A correction method considering the influence of linear free fluid surface on added water mass of a submerged structure was proposed here. Based on the singularity distribution method,the approximate solution to virtual point source locations and the fluid velocity potential was obtained under the linear free fluid surface boundary condition with Galerkin method,then the corresponding added water mass of a submerged structure was obtained. A partially submerged cantilever plate and a double-bottom model of a ship＇s engine room were taken as study objects,their first three order lateral vibration frequencies were computed using Matlab. The calculation results were compared with those of tests and those of FEM. Results showed that the proposed method can more correctly reflect the influence of linear free fluid surface on added water mass,especially,the correcting effect of the method is more obvious under the condition of a structure＇s shallow draft or low-frequency vibration; this method can avoid solving large type dynamic equations to improve the calculation efficiency.

关 键 词：浸水结构 源汇分布法 自由液面 附连水质量 

分 类 号：U661.44[交通运输工程—船舶及航道工程]