scholarly journals Nonlinear Vibrations in an Elastic Structure Subjected to Vertical Excitation and Coupled with Liquid Sloshing in a Rectangular Tank. 1st Report. Variations of Resonance Curves due to the Liquid Depth.

1998 ◽  
Vol 64 (617) ◽  
pp. 77-85
Author(s):  
Takashi IKEDA ◽  
Masanobu YAMASAKI ◽  
Noritoshi NAKAGAWA
Keyword(s):  
Nonlinear Vibrations ◽  
Liquid Sloshing ◽  
Elastic Structure ◽  
Vertical Excitation ◽  
Rectangular Tank ◽  
Liquid Depth ◽  
Resonance Curves

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.

Nonlinear Vibrations of an Elastic Structure Subjected to Vertical Excitation and Coupled With Liquid Sloshing in a Cylindrical Tank: Resonance With an Axisymmetric Mode

1999 ◽  
Author(s):  
Takashi Ikeda ◽  
Shin Murakami
Keyword(s):  
Natural Frequency ◽  
Resonance Curve ◽  
Liquid Sloshing ◽  
Elastic Structure ◽  
Cylindrical Tank ◽  
Axisymmetric Mode ◽  
Vertical Excitation ◽  
Structure Changes ◽  
Flat Shape ◽  
Resonance Curves

Abstract The nonlinear coupled vibrations of an elastic structure and liquid sloshing in a cylindrical tank are investigated. When the structure is vertically subjected to a sinusoidal excitation, and when the natural frequency of the structure is equal to twice the natural frequency of the first axisymmetric mode of sloshing, modal equations governing the coupled motions are derived. Then, the theoretical resonance curves are presented by using the method of harmonic balance and an FFT analysis. As a result, it is demonstrated that the resonance curve for the structure changes from a shape with a peak to a flat shape as the liquid level decreases. It is also clarified that amplitude-modulated motions appear when the tuning condition is deviated. In experiments, theoretical resonance curves 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.

Effect of viscosity on sloshing in a rectangular tank with intermediate liquid depth

2020 ◽  
Vol 118 ◽  
pp. 110148 ◽  
Author(s):  
Xin Jin ◽  
Jinbo Tang ◽  
Xiaochun Tang ◽  
Shuo Mi ◽  
Jiaxin Wu ◽  
...  
Keyword(s):  
Rectangular Tank ◽  
Liquid Depth

230 Nonlinear Vibrations of Elastic Structures with a Square Liquid Tank Subjected to Vertical Excitation

2010 ◽  
Vol 2010 (0) ◽  
pp. _230-1_-_230-6_
Author(s):  
Takashi IKEDA ◽  
Masaki TAKASHIMA ◽  
Yuji HARATA ◽  
Yasuhisa SEKIGUCHI
Keyword(s):  
Nonlinear Vibrations ◽  
Elastic Structures ◽  
Vertical Excitation
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