摘要
本文研究二维矩形月池流体的自振特性。基于线性势流理论，采用Galerkin展开，将问题转化为月池自振频率的特征值问题，求解自振频率及速度势函数中的系数矩阵，得到二维矩形月池固有频率和振型的半解析解，分析了月池几何参数对月池流体自振特性的影响。研究表明，由于内部与外流连通，月池流体呈现垂向活塞（piston）振动及晃荡（sloshing）运动两种形式。垂向活塞振动模态频率的变化主要受液面高度影响，随液面高度增加而减小；晃荡模态频率主要受月池宽度影响，随月池宽度增加而减小。活塞振动模态振型在液面较浅时出现波峰，随液面高度增加而消失。利用CFD方法计算月池运动，结果与半解析解中振型曲线拟合良好。
Abstract
Natural vibration characteristics study of a two dimensional rectangle moonpool is performed in this paper. Based on the linear potential theory, the equations are converted into eigenvalue problem by Galerkin method. Via solving the coefficient matrix of potential function, the semi-analytical solution of a two dimensional rectangle moolpool natural frequencies and shapes is obtained to present the geometric parameters influence on natural vibration characteristics. The results showed that, the natural frequencies occur in two catalogues as the mass flux at bottom: piston mode and sloshing mode. The piston mode frequency in vertical decreasing as the liquid height increased is largely determined by the liquid height, whereas sloshing mode frequencies decreasing as the moonpool width increased is mainly depended by the moonpool width. The piston mode shape presents crest in low liquid depth, and vanishes as the liquid depth increases. The CFD method is carried out to verify the semi-analytical solution, the free surface curves in two results fit well.
关键词
月池 /
半解析解 /
自振特性 /
势流理论
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Key words
moonpool /
semi-analytical solution /
natural vibration characteristics /
potential theory
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黄 磊;刘利琴;唐友刚.
二维矩形月池内流体的自振特性研究[J]. 振动与冲击, 2014, 33(22): 139-145
HUANG Lei LIU Li-qin TANG You-gang .
Natural vibration characteristics study of fluid in a two dimensional rectangle moonpool[J]. Journal of Vibration and Shock, 2014, 33(22): 139-145
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