基于源汇分布法的浸水结构振动特性分析

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (17) : 165-169.

论文

基于源汇分布法的浸水结构振动特性分析

熊吕露1 2 ，王德禹1 2

作者信息 +

Natural vibration analysis of submerged structures based on singularity distribution method

Xiong Lvlu1 2 Wang Deyu 1 2

Author information +

文章历史 +

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。

Abstract

A correction method, which considered the influence of linear free surface on added mass, proposed in this paper. Based on singularity distribution method, the approximate solution of the fluid velocity potential was obtained in the linear free surface boundary conditions by using Galerkin method, then the additional mass was obtained. Partially submerged cantilever plate and double bottom model of ship engine room was used as the research object，the first three order lateral vibration frequencies was obtained by using Matlab. The calculation results were compared with the experimental results and the FEM results. Results show that this method can not only accurately reflect the influence of linear free surface on added mass, which especially obvious in the condition of shallow draft or low-frequency vibration, but also avoid solving large dynamics equation and improve the calculation efficiency.

导出引用

熊吕露1 2,王德禹1 2. 基于源汇分布法的浸水结构振动特性分析[J]. 振动与冲击, 2017, 36(17): 165-169

Xiong Lvlu1 2 Wang Deyu 1 2 . Natural vibration analysis of submerged structures based on singularity distribution method[J]. Journal of Vibration and Shock, 2017, 36(17): 165-169

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