Autoparametric interaction of a liquid surface in a rectangular tank with an elastic support structure under 1:1 internal resonance

2009 ◽  
Vol 60 (3) ◽  
pp. 425-441 ◽  
Author(s):  
Takashi Ikeda
Keyword(s):  
Internal Resonance ◽  
Liquid Surface ◽  
Elastic Support ◽  
Support Structure ◽  
Rectangular Tank

Comments on Energy Harvesting on a 2:1 Internal Resonance Portal Frame Support Structure, Using a Nonlinear-Energy Sink as a Passive Controller

2016 ◽  
Vol 10 (3) ◽  
pp. 147 ◽  
Author(s):  
Rodrigo Tumolin Rocha ◽  
Jose Manoel Balthazar ◽  
Angelo Marcelo Tusset ◽  
Vinicius Piccirillo ◽  
Jorge Luis Palacios Felix
Keyword(s):  
Energy Harvesting ◽  
Internal Resonance ◽  
Nonlinear Energy Sink ◽  
Support Structure ◽  
Portal Frame ◽  
Energy Sink ◽  
Nonlinear Energy

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.

Dynamic Stability of a Plate on Air Flow and an Elastic Support Structure

2017 ◽  
Vol 2017 (0) ◽  
pp. G1000103
Author(s):  
Kazunori OZAWA ◽  
Masakazu TAKEDA ◽  
Masahiro WATANABE
Keyword(s):  
Dynamic Stability ◽  
Air Flow ◽  
Elastic Support ◽  
Support Structure

scholarly journals Liquid oscillation in a rectangular tank with a core barrel (Condition for internal resonance)

2015 ◽  
Vol 81 (822) ◽  
pp. 14-00552-14-00552 ◽  
Author(s):  
Hiroki TAKAHARA ◽  
Eiji NAKATSUGAWA ◽  
Yutaka NAKANO
Keyword(s):  
Internal Resonance ◽  
Rectangular Tank ◽  
Liquid Oscillation

Tank Sloshing Interaction With Elastic Support Structure

2004 ◽  
Author(s):  
Jannette B. Frandsen
Keyword(s):  
Numerical Model ◽  
Water Waves ◽  
Elastic Support ◽  
Liquid Sloshing ◽  
System Response ◽  
Support Structure ◽  
First Order Theory ◽  
Physical Experiments ◽  
Small Depth ◽  
Highly Nonlinear

A fully nonlinear 2-D σ-transformed finite difference solver has been developed based on inviscid flow equations in rectangular tanks. The fluid equations are coupled to an elastic support structure. Sloshing motion are simulated during structural vibration cycles at and outside resonance. The wave tank acts as a Tuned Liquid Damper (TLD). The TLD response is highly nonlinear due to the liquid sloshing. The solver is valid at any water depth except for small depth when shallow water waves and viscous effects would become important. Results of liquid sloshing induced by horizontal base excitations are presented for small to steep non-breaking waves. The effectiveness of the TLD is discussed through predictions of coupling frequencies of the tank-structural system for different tank sizes and mass ratios between fluid and structure. Good agreement is achieved between numerical model and first-order theory. It was found that the system response is extremely sensitive to small changes in forcing frequency. Furthermore, the solver removes the need for free-surface smoothing for the cases considered herein. The numerical model provides a quick and accurate way of determining system eigenfrequencies which can be hard to identify and interpret in physical experiments. Therefore the numerical solver could serve as a valuable guidance to physical experiments. The present studies can easily be expanded to include multiple wave tanks to investigate tank interaction effects, and thus cover suppression of a wider range of frequencies.

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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