Effect of central slotted screen with a high solidity ratio on the secondary resonance phenomenon for liquid sloshing in a rectangular tank

2011 ◽  
Vol 23 (6) ◽  
pp. 062106 ◽  
Author(s):  
O. M. Faltinsen ◽  
R. Firoozkoohi ◽  
A. N. Timokha
Keyword(s):  
Liquid Sloshing ◽  
Resonance Phenomenon ◽  
Secondary Resonance ◽  
Rectangular Tank ◽  
Solidity Ratio

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.

scholarly journals Study on liquid sloshing characteristics of a swaying rectangular tank with a rolling baffle

2019 ◽  
Vol 119 (1) ◽  
pp. 23-41 ◽  
Author(s):  
Jing-Han Wang ◽  
Shi-Li Sun
Keyword(s):  
Free Surface ◽  
Present Method ◽  
Velocity Potential ◽  
Solution Procedure ◽  
Liquid Sloshing ◽  
Published Data ◽  
Free Surface Elevation ◽  
Separate Variable ◽  
Rectangular Tank ◽  
Vertical Baffle

Abstract This study addresses the sloshing characteristics of a liquid contained in a tank with a vertical baffle mounted at the bottom of the tank. Liquid sloshing characteristics are studied through an analytical solution procedure based on the linear velocity potential theory. The tank is forced to sway horizontally and periodically, while the baffle is fixed to the tank or rolling around a hinged point. The rectangular tank flow field is divided into a few sub-domains. The potentials are solved by a separate variable method, and the boundary conditions and matching requirements between adjacent sub-domains are used to determine the sole solution. The free surface elevations with no baffle or a low fixed baffle are compared with those in published data, and the correctness and reliability of the present method are verified. Then the baffle is forced to rotate around the bottom-mounted point. It is found that the baffle’s motion, including the magnitude and the phase together, can be adjusted to suppress the free surface elevation, and even the sloshing wave can be almost eliminated.

MODAL MODELLING OF THE NONLINEAR RESONANT FLUID SLOSHING IN A RECTANGULAR TANK II: SECONDARY RESONANCE

2008 ◽  
Vol 18 (11) ◽  
pp. 1845-1867 ◽  
Author(s):  
MARTIN HERMANN ◽  
ALEXANDER TIMOKHA
Keyword(s):  
Frequency Domain ◽  
Turning Point ◽  
Natural Mode ◽  
Critical Ratio ◽  
Critical Depth ◽  
Secondary Resonance ◽  
Modal System ◽  
Rectangular Tank ◽  
Fluid Sloshing ◽  
Steady State Solutions

In Part I of this work [Math. Mod. Meth. Appl. Sci.15 (2005) 1431–1458], we studied periodic (steady-state) solutions of an asymptotic nonlinear modal system which describes two-dimensional resonant sloshing in a rectangular tank. The system was derived by Faltinsen et al. (2000) under the assumption that the primary excited (lowest) natural mode gives the largest contribution to the wave patterns. We found that this assumption is not true in a certain frequency domain due to internal (secondary) resonance leading to an amplification of the second mode. This frequency domain can also be identified for the critical depth-to-breath ratio h = 0.3368 … which was discussed in Part I. In Part II, this secondary resonance is modelled by a double-dominant modal system by Faltinsen and Timokha (2001). A comparative analysis with the results from Part I is presented. The emphasis is placed on the case of the mentioned critical ratio when a double turning point arises in the branching diagram. The appearance of the double turning point explains why classical laboratory experiments by Fultz (1962) underestimate the value of the critical depth.

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