301 Nonlinear Liquid Surface Oscillation in a Rectangular Tank using Dirichlet-Neumann Operators

2006 ◽  
Vol 2006 (0) ◽  
pp. _301-1_-_301-5_
Author(s):  
Kensuke HARA ◽  
Hiroki TAKAHARA
Keyword(s):  
Liquid Surface ◽  
Surface Oscillation ◽  
Rectangular Tank

Nonlinear Vibrations in an Elastic Structure Subjected to Vertical Excitation and Coupled With Liquid Sloshing in a Rectangular Tank

1997 ◽  
Author(s):  
Takashi Ikeda
Keyword(s):  
Theoretical Analysis ◽  
Natural Frequency ◽  
Liquid Surface ◽  
Excitation Frequency ◽  
Harmonic Balance Method ◽  
Liquid Sloshing ◽  
Elastic Structure ◽  
Vertical Excitation ◽  
Rectangular Tank ◽  
Resonance Curves

Abstract The nonlinear coupled vibrations of an elastic structure and liquid sloshing in a rectangular tank, partially filled with liquid, are investigated. The structure containing the tank is vertically subjected to a sinusoidal excitation. In the theoretical analysis, the resonance curves for the responses of the structure and liquid surface are presented by the harmonic balance method, when the natural frequency of the structure is equal to twice the natural frequency of one of the sloshing modes. From the theoretical analysis, the following predictions have been obtained: (a) Due to the nonlinearity of the fluid force, harmonic oscillations appear in the structure, while subharmonic oscillations occur on the liquid surface, (b) the shapes of the resonance curves markedly change depending on the liquid depth, and (c) when the detuning condition is slightly deviated, almost periodic oscillations and chaotic oscillations appear at certain intervals of the excitation frequency. These were qualitatively in good agreement with the experimental results.

Low-Gravity Sloshing in an Axisymmetrical Container Excited in the Axial Direction

2000 ◽  
Vol 67 (2) ◽  
pp. 344-354 ◽  
Author(s):  
M. Utsumi
Keyword(s):  
Liquid Surface ◽  
Characteristic Root ◽  
Axial Direction ◽  
Bond Number ◽  
Characteristic Functions ◽  
Surface Oscillation ◽  
Low Gravity ◽  
The Past ◽  
Axial Excitation ◽  
Modal Equation

The response of low-gravity propellant sloshing is analyzed for the case where an axisymmetrical container is exposed to axial excitation. Spherical coordinates are used to analytically derive the characteristic functions for an arbitrary axisymmetrical convex container, for which time-consuming and expensive numerical methods have been used in the past. Numerical results show that neglecting the surface tension results in the underestimation of the magnitude of the liquid surface oscillation. The reason for this is explained by the influences of the Bond number and the liquid filling level on the critical value of the coefficient of the excitation term in the modal equation, above which the oscillation is destabilized, and on the characteristic root of the destabilized system. [S0021-8936(00)01502-6]

scholarly journals Free Surface Oscillation Induced by Upward 2-D Jet in Rectangular Tank.

1998 ◽  
Vol 64 (620) ◽  
pp. 1095-1102
Author(s):  
Kotaro SATO ◽  
Taketoshi OITANI ◽  
Yoshinobu TSUJIMOTO
Keyword(s):  
Free Surface ◽  
Surface Oscillation ◽  
Rectangular Tank

An Investigation on Two-Dimensional Nonlinear Sloshing in Rectangular Tank

2015 ◽  
Author(s):  
Dongya Zhao ◽  
Zhiqiang Hu ◽  
Gang Chen
Keyword(s):  
Numerical Simulation ◽  
Free Surface ◽  
Liquid Surface ◽  
Surface Condition ◽  
Excitation Frequency ◽  
Surface Elevation ◽  
Two Dimensional ◽  
Free Surface Condition ◽  
Rectangular Tank ◽  
Oscillation Movement

Two-dimensional liquid sloshing in rectangular tank of FLNG system is investigated both numerically and experimentally. In numerical simulation, a time-domain scheme has been developed based on potential flow theory in boundary element method. Tank movement is defined by wall boundary condition to produce a reciprocating oscillation. Nonlinear free surface condition is adopted to capture free surface elevation. Energy dissipation caused by viscous effects is considered by applying artificial damping term to the dynamic free surface condition, which is also vital to achieve a steady-state solution. For comparison, experiments of a rectangular tank filled with water subjected to specified oscillation are carried out. As coupling effects between sloshing and tank motion is not included in this research, the testing apparatus is required to produce consistent oscillation movement and not affected by the change of filling condition and sloshing load. Liquid surface elevations in several typical places of the tank were measured. Sloshing related parameters including oscillation amplitude, frequency and filling level are analyzed systematically. It’s found that numerical simulation results have good agreement with phenomenon observed under small amplitude excitation, and this nonlinear analysis method is proved to be effective in capturing liquid surface elevation. It is found that sloshing in tank is sensitive to filling level as well as excitation frequency, especially in the crucial combination cases of them. For given filling level, sloshing tends to be violent near corresponding natural frequencies, and viscous damping has limited contribution to sloshing amplitude when resonance occurs. This fundamental investigation also paves path for the study of more complicated sloshing problems.

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