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| Natural vibration characteristics study of fluid in a two dimensional rectangle moonpool |
| HUANG Lei 1 LIU Li-qin1 TANG You-gang 1 |
| 1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, 300072 |
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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.
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Received: 15 May 2013
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2014, Vol. 33 
