Asymptotic nonlinear multimodal modeling of liquid sloshing in an upright circular cylindrical tank. I. Modal equations

2012 ◽  
Vol 14 (4) ◽  
pp. 512-525 ◽  
Author(s):  
I. Lukovsky ◽  
D. Ovchynnykov ◽  
A. Timokha
Keyword(s):  
Liquid Sloshing ◽  
Cylindrical Tank

On Investigation of Liquid Sloshing in Cylindrical Tanks With Single and Multiply Connected Domains Using Isogeometric Boundary Element Method

2020 ◽  
Vol 143 (2) ◽  
Author(s):  
Quansheng Zang ◽  
Jun Liu ◽  
Yang Zhou ◽  
Gao Lin
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Basis Functions ◽  
Liquid Sloshing ◽  
Multiply Connected Domains ◽  
Cylindrical Tank ◽  
Multiply Connected ◽  
Computer Aided ◽  
Cylindrical Tanks ◽  
Lagrange Basis

Abstract This paper explores an isogeometric boundary element method (IGA-BEM) for sloshing problems in cylindrical tanks with single and multiply connected domains. Instead of the Lagrange basis functions used in the standard BEM, the nonuniform rational B-splines (NURBS) basis functions are introduced to approximate the geometries of the problem boundaries and the unknown variables. Compared with the Lagrange basis functions, NURBS basis functions can accurately reconstruct the geometric boundary of analysis domain with almost no error, and all the data information for NURBS basis functions can be directly obtained from the computer-aided design (cad) or computer-aided engineering (cae) commercial software, which implies the modeling process of IGA-BEM is more simple than that of the standard BEM. NURBS makes it possible for the IGA-BEM to realize the seamless connection between cad and cae software with relative higher calculation accuracy than the standard BEM. Based on the weighted residual method as well as the divergence theorem, the IGA-BEM is developed for the single and multiply connected domains, whose boundaries are separately defined in the parameter space by different knot vectors. The natural sloshing frequencies of the liquid sloshing in a circular cylindrical tank with a coaxial or an off-center circular pipe, an elliptical cylindrical tank with an elliptical pipe, a circular cylindrical tank with multiple pipes are estimated with the introduced method by assuming an ideal (inviscid and incompressible) liquid, irrotational small-amplitude sloshing, and the linear free-surface condition. The comparison between the results obtained by the proposed method and those in the existing literatures shows very good agreements, which verifies the proposed model well. Meanwhile, the effects of radius ratio, liquid depth, number, and location of internal pipe (pipes) on the natural sloshing frequency and sloshing mode are analyzed carefully, and some conclusions are outlined finally.

scholarly journals Numerical study of the liquid sloshing in the cylindrical tank with baffles

2021 ◽  
Vol 1985 (1) ◽  
pp. 012050
Author(s):  
Linlin Duan ◽  
Cenfan Liu ◽  
Fang Ji ◽  
Zhirong Yang ◽  
Chongchong Zhang
Keyword(s):  
Numerical Study ◽  
Liquid Sloshing ◽  
Cylindrical Tank

Liquid sloshing in a 45 deg sector compartmented cylindrical tank

AIAA Journal ◽  
1964 ◽  
Vol 2 (4) ◽  
pp. 768-770 ◽  
Author(s):  
HELMUT F. BAUER
Keyword(s):  
Liquid Sloshing ◽  
Cylindrical Tank

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.

Liquid Sloshing in a Cylindrical Tank with Multiple Baffles Under Horizontal and Pitching Motions

2020 ◽  
Vol 12 (07) ◽  
pp. 2050080
Author(s):  
Ying Sun ◽  
Ding Zhou ◽  
Jiadong Wang ◽  
Huixuan Han
Keyword(s):  
Velocity Potential ◽  
Low Frequency ◽  
Lateral Force ◽  
Liquid Structure ◽  
Liquid Sloshing ◽  
Influence Coefficient ◽  
Cylindrical Tank ◽  
Pitching Motion ◽  
Fluid Sloshing ◽  
Mass Spring

The sloshing response of fluid in a rigid circular cylindrical tank with multiple rigid annular baffles and subjected to horizontal and pitching excitations is investigated. The subdomain method for fluid sloshing is utilized to obtain exact solutions to the convective velocity potential of liquid. By substituting the velocity potential of liquid into free surface sloshing equation, the response equation under the horizontal excitation is constructed. According to producing the similar lateral force and moment as analytical solutions undergoing horizontal motion, an equivalent mass-spring model is developed to replace continuous liquid. Based on the model, dynamic response of liquid sloshing in the tank under the horizontal and pitching excitations is obtained. Compared with the reported results, the lateral force is in excellent agreement with literature solutions and the overturning moment shows good agreement with available solutions under the excitation with low frequency. The proposed model can be employed to simplify dynamics of complicated liquid-structure systems undergoing pitching motion without tedious derivation and great amount of calculation. The effects of the liquid height, the positions and sizes of the baffles on the influence coefficient factor of pitching motion and the steady-state response are revealed in detail.

Liquid Sloshing Damping Computation in Cylindrical Tank Based on VOF Method

2013 ◽  
Vol 390 ◽  
pp. 116-120 ◽  
Author(s):  
Fei Tang ◽  
Yong Li ◽  
Yong Bin Geng
Keyword(s):  
Free Surface ◽  
Empirical Equation ◽  
Liquid Sloshing ◽  
Finite Volume Scheme ◽  
Cylindrical Tank ◽  
Construction Scheme ◽  
Cylindrical Tanks ◽  
Semi Empirical ◽  
Theoretical Results ◽  
Sloshing Damping

For liquid sloshing in partially filled cylindrical tank, the influence of the free surface on the sloshing damping is very important, especially in the application of spacecraft. In order to calculate the damping characteristic of partially filled cylindrical tanks more accurately, the finite volume scheme base on Volume-of-Fluid (VOF) is used to simulate the interface flow in the tank. Second order accurate piecewise line interface construction scheme is used to reconstruct the free surface. Through the numerical simulation, the influence on the sloshing damping with different liquid fill ratios in the cylindrical tanks is obtained.At the end, by use of semi-empirical equation, found that it agrees with theoretical results reasonably well.

Liquid Sloshing in a Rigid Cylindrical Tank Equipped with a Rigid Annular Baffle and on Soil Foundation

2020 ◽  
Vol 20 (03) ◽  
pp. 2050030 ◽  
Author(s):  
Ying Sun ◽  
Ding Zhou ◽  
Marco Amabili ◽  
Jiadong Wang ◽  
Huixuan Han
Keyword(s):  
Computational Cost ◽  
Coupled System ◽  
Least Square ◽  
Liquid Sloshing ◽  
Lumped Parameter Model ◽  
Equivalent Model ◽  
Complex Polynomial ◽  
Soil Parameters ◽  
Cylindrical Tank ◽  
Soil Foundation

Fluid sloshing in a rigid circular cylindrical tank is investigated; the tank is resting on soil foundation and is excited by horizontal seismic accelerations. A rigid annular baffle is connected to the inner wall of the storage tank to reduce liquid sloshing. By using the fluid subdomain method, the convective velocity potential is derived. An equivalent model with mass-spring oscillators is proposed to describe the sloshing motions of the contained liquid. Then, by means of the least square method, a complex polynomial fraction is employed to fit the dynamic impedance of the soil. A nested lumped parameter model is established to model the effect of the soil foundation. The substructure method allows to obtain the soil–tank–liquid coupled model. The equation of motion of the coupled system is solved by the Newmark-[Formula: see text] method. A comparison between the present sloshing results and those published in the literature shows an excellent agreement. The effects of the soil parameters, the baffle position and its size on the dynamic behavior of the soil–tank–liquid system are discussed in detail. The results demonstrate that the soil properties and the baffle parameters can have a remarkable influence on liquid sloshing. The novelty of this research is that an analytical model for the soil–tank–liquid–baffle coupled system is derived for the first time and it allows to study the dynamics and sloshing response of the system with accuracy and low computational cost.

Sign in / Sign up

Export Citation Format

Share Document