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Coupled hydroelastic vibrations of an elliptical cylindrical tank with an elastic bottom
作者姓名:HASHEMINEJAD Seyyed M.  TAFANI Mostafa
摘    要:An exact three-dimensional analysis based on the linear potential theory and the elaborated method of eigenfunction expansion in elliptic coordinates are presented to study the free coupled elasto-hyrodynamic characteristics of an upright non-deformable cylindrical container of elliptical planform with a flexible bottom plate, filled to an arbitrary depth with an inviscid incompressible liquid. Extensive numerical data are presented in an orderly fashion for the first few symmetric/anti-symmetric coupled hydroelastic natural frequencies as a function of fluid depth parameter for two plate aspect ratios. Also, selected hydrodynamic and structural deformation modes shapes are presented in graphical form. The effects of liquid level, bottom plate elasticity, and cross sectional aspect ratio on the sloshing frequencies and hydrodynamic pressure modes are examined. The validity of the results is examined through computations using a commercial finite element package as well as by comparison with the data available in literature.

关 键 词:水弹性振动  弹性耦合  圆柱形  流体动压力  底部  平面形状  特征展开  固有频率
收稿时间:17 November 2012

Coupled hydroelastic vibrations of an elliptical cylindrical tank with an elastic bottom
HASHEMINEJAD Seyyed M.,TAFANI Mostafa.Coupled hydroelastic vibrations of an elliptical cylindrical tank with an elastic bottom[J].Journal of Hydrodynamics,2014,26(2):264-276.
Authors:HASHEMINEJAD Seyyed  M  TAFANI Mostafa
Affiliation:Acoustics Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School ofMechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran,
Abstract:An exact three-dimensional analysis based on the linear potential theory and the elaborated method of eigenfunction expansion in elliptic coordinates are presented to study the free coupled elasto-hyrodynamic characteristics of an upright non-deformable cylindrical container of elliptical planform with a flexible bottom plate, filled to an arbitrary depth with an inviscid incompressible liquid. Extensive numerical data are presented in an orderly fashion for the first few symmetric/anti-symmetric coupled hydroelastic natural frequencies as a function of fluid depth parameter for two plate aspect ratios. Also, selected hydrodynamic and structural deformation modes shapes are presented in graphical form. The effects of liquid level, bottom plate elasticity, and cross sectional aspect ratio on the sloshing frequencies and hydrodynamic pressure modes are examined. The validity of the results is examined through computations using a commercial finite element package as well as by comparison with the data available in literature.
Keywords:exact solution  fluid-structure interaction  free surface oscillations  vertical elliptical vessel  Mathieu functions
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