scholarly journals Equivalent Mechanical Model for Lateral Liquid Sloshing in Partially Filled Tank Vehicles

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Zheng Xue-lian ◽  
Li Xian-sheng ◽  
Ren Yuan-yuan
Keyword(s):  
Cross Sections ◽  
Mechanical Model ◽  
Dynamic Effect ◽  
Liquid Sloshing ◽  
Lateral Acceleration ◽  
New Approach ◽  
Roll Control ◽  
Equivalent Mechanical Model ◽  
Parameter Values ◽  
Tank Vehicles

This paper reports a new approach to investigating sloshing forces and moments caused by liquid sloshing within partially filled tank vehicles subjected to lateral excitations. An equivalent mechanical model is used in the paper to approximately simulate liquid sloshing. The mechanical model is derived by calculating the trajectory of the center of gravity of the liquid bulk in tanks as the vehicle’s lateral acceleration changes from 0 to 1 g. Parametric expressions for the model are obtained by matching the dynamic effect of the mechanical model to that of liquid sloshing. And parameter values of a liquid sloshing dynamic effect, such as sloshing frequency and forces, are acquired using FLUENT to simulate liquid sloshing in tanks with different cross-sections and liquid fill percentages. The equivalent mechanical model for liquid sloshing in tank vehicles is of a great significance for simplifying the research on roll stability of tank vehicles and for developing active/passive roll control systems for these vehicles.

Experimental and Theoretical Studies of Liquid Sloshing at Simulated Low Gravity

1967 ◽  
Vol 34 (3) ◽  
pp. 555-562 ◽  
Author(s):  
F. T. Dodge ◽  
L. R. Garza
Keyword(s):  
Natural Frequency ◽  
Mechanical Model ◽  
Small Diameter ◽  
Bond Number ◽  
Liquid Sloshing ◽  
Theoretical Studies ◽  
Low Gravity ◽  
Equivalent Mechanical Model ◽  
Experimental And Theoretical Studies ◽  
Experimental Comparisons

Analyses and experimental comparisons are given for liquid sloshing in a rigid cylindrical tank under conditions of moderately small axial accelerations; in particular, the theory is valid for Bond numbers larger than 10. The analytical results are put in the form of an equivalent mechanical model, and it is shown that the sloshing mass and the natural frequency of the first mode, for a liquid having a 0 deg contact angle at the tank walls, are smaller than for high-g conditions. The experimental data, obtained by using several small-diameter tanks and three different liquids, are compared to the predictions of the mechanical model; good correlation is found in most cases for the sloshing forces and natural frequency as a function of Bond number.

A Mechanical Model for Dynamic Behavior of Large Amplitude Liquid Sloshing in Partially Filled Tank Vehicles

2003 ◽  
Author(s):  
Liang Xu ◽  
Liming Dai
Keyword(s):  
Mechanical System ◽  
Dynamic Behavior ◽  
Large Amplitude ◽  
Mechanical Model ◽  
Structure Design ◽  
Liquid Sloshing ◽  
Liquid Motion ◽  
Mass Model ◽  
Longitudinal Dynamic ◽  
Tank Vehicles

A mechanical model of liquid sloshing is developed to investigate the longitudinal dynamic characteristics of partially filled liquid cargo tank vehicles during typical straight-line driving. The dynamic liquid motion is modeled by utilizing a mechanical system that describes the behavior of the liquid motion as a linear spring-mass model augmented with an impact subsystem for longitudinal oscillations. Computer simulation of tank vehicles under rough road conditions is performed by incorporating the forces and moments caused by liquid motion into the pitch plane vehicle model. The fifth wheel loads and the normal axle loads, which are key factors to vehicle structure design, fatigue analysis and vehicle performance characteristics, are computed using the mechanical system approach in order to investigate the influence of liquid motion. This study presents a new approach to investigate the longitudinal dynamic behavior of partially filled tank vehicles under large amplitude liquid sloshing.

Tank Shape Optimization for Enhancement of Roll Stability of Partially Filled Tank Vehicles in Steady Turning

2000 ◽  
Author(s):  
X. Kang ◽  
S. Rakheja ◽  
I. Stiharu ◽  
A. K. W. Ahmed
Keyword(s):  
Cross Sections ◽  
Lateral Acceleration ◽  
Plane Model ◽  
Cross Sectional ◽  
Performance Potentials ◽  
Liquid Load ◽  
Fill Volume ◽  
Total Capacity ◽  
Tank Geometry ◽  
Tank Vehicles

Abstract A generic tank cross-section is proposed to describe the geometry of road tanks used in transportation of bulk liquids, and to explore optimal tank geometry for enhancement of roll stability limits of partially-filled tank vehicles. Two different constrained optimization functions are formulated to minimize the lateral load shift with prescribed cross-sectional c.g. height, and the liquid load shift and c.g. height simultaneously, subject to constraints imposed on the total capacity, overall width and height, and perimeter. Two optimal tank cross-sections are proposed to achieve minimal overturning moments corresponding to medium and high fill ranges. A static roll plane model of the partially-filled generic tank is developed to study the performance potentials of the optimal tanks in terms of translation of the cargo c.g. within the tanks under various fill volumes and vehicle lateral acceleration, which are then compared with those of the conventional circular and modified-oval cross-sectional tanks. The performance potentials of the proposed optimal tanks are further explored in terms of rollover threshold lateral acceleration limit of a partially-filled articulated tank vehicle combination as a function of the fill volume, using a static roll model of the tank vehicle realized by integration of the steady-state roll plane model of the partially-filled generic tank with that of the vehicle. The results reveal that the magnitude of rollover threshold of the 40–70% filled vehicle with the proposed optimal tank geometry is approximately 10% higher than that with a circular cross-sectional tank, and 13–25% higher than that with a modified-oval tank.

Equivalent mechanical model for liquid sloshing during draining

2011 ◽  
Vol 68 (1-2) ◽  
pp. 91-100 ◽  
Author(s):  
Qing Li ◽  
Xingrui Ma ◽  
Tianshu Wang
Keyword(s):  
Mechanical Model ◽  
Liquid Sloshing ◽  
Equivalent Mechanical Model

A new non-linear approach to analysing the dynamic behaviour of tank vehicles subjected to liquid sloshing

2005 ◽  
Vol 219 (1) ◽  
pp. 75-86 ◽  
Author(s):  
L Dai ◽  
L Xu ◽  
B Setiawan
Keyword(s):  
Dynamic Behaviour ◽  
Linear Models ◽  
Fluid Motion ◽  
Liquid Sloshing ◽  
New Approach ◽  
Linear Dynamic ◽  
Longitudinal Dynamic ◽  
Linear Approach ◽  
Non Linear ◽  
Tank Vehicles

This research presents a new approach to investigating the non-linear dynamic behaviour of partially filled tank vehicles under large-amplitude liquid sloshing. A non-linear impact model for liquid sloshing in partially filled liquid tank vehicles is established for investigating the longitudinal dynamic characteristics of tank vehicles under typical driving conditions. The dynamic fluid motion within the tank is modelled by utilizing an analogy system together with an impact subsystem for longitudinal oscillations. The forces on the fifth wheel and the axles of the vehicle are determined in considering the effects of the liquid sloshing in the tank. The non-linear dynamic behaviours of the tank vehicle subjected to liquid sloshing and the excitations generated by rough roads are analysed and compared with those of linear models. Numerical simulation of the tank vehicle under typical rough road conditions is performed.

Transient Liquid Sloshing in Partially-Filled Tank Vehicles

2014 ◽  
Vol 526 ◽  
pp. 133-138 ◽  
Author(s):  
Xue Lian Zheng ◽  
Xian Sheng Li ◽  
Yuan Yuan Ren ◽  
Zhu Qing Cheng
Keyword(s):  
Time Variation ◽  
Liquid Sloshing ◽  
Lateral Acceleration ◽  
External Excitation ◽  
Mean Values ◽  
Calculation Results ◽  
Scope Of Application ◽  
The Mean ◽  
Fill Level ◽  
Tank Vehicles

To investigate the accuracy and the scope of application of the QS method in transient liquid sloshing, 3 different tanks are selected as the research object. The liquid fill level is set at 0.6 and the constant lateral acceleration changes from 0.1 g to 0.4 g. The transient liquid sloshing is simulated by FLUENT and the relevant QS results are solved at the same conditions. The mean and maximum values for transient liquid sloshing effect are compared with the corresponding QS results. It was found that the mean values in a cycle are quite close to the QS calculation results. Furthermore, the QS method can only be used when the external excitation is constant and smaller. For lateral acceleration which is constant but large, and time-variation ones, the QS method is not suitable.

Parameter Computation of Equivalent Mechanical Models of Liquid Sloshing in Spacecraft Container

2013 ◽  
Vol 397-400 ◽  
pp. 209-212 ◽  
Author(s):  
Li Xin Zhang ◽  
Zheng Feng Bai ◽  
Yang Zhao ◽  
Xi Bin Cao
Keyword(s):  
Mechanical Model ◽  
Liquid Sloshing ◽  
Equivalent Model ◽  
Parameter Determination ◽  
Mass Model ◽  
Numerical Example ◽  
Equivalent Mechanical Model ◽  
Determination Process ◽  
Pendulum Model ◽  
Mechanical Models

Liquid sloshing is the source of disturbance. General the equivalent mechanical models are used to simulate the liquid sloshing in container. In this paper, the equivalent pendulum model for liquid sloshing is established. Further, the parameter relationship between the equivalent spring-mass model and equivalent pendulum model is presented. Then, parameter determination process of the equivalent mechanical model is proposed. Finally, a numerical example is implemented to calculate the parameters of equivalent model for liquid sloshing in a container.

Dynamics of Liquid Sloshing in Upright and Inverted Bladdered Tanks

1987 ◽  
Vol 109 (1) ◽  
pp. 58-63 ◽  
Author(s):  
F. T. Dodge ◽  
D. D. Kana
Keyword(s):  
Structural Dynamics ◽  
Mechanical Model ◽  
The Body ◽  
Liquid Sloshing ◽  
Model Parameters ◽  
Test Results ◽  
Governing Equations ◽  
Low Gravity ◽  
Equivalent Mechanical Model ◽  
Mechanical Models

The sloshing of liquids in tanks that use a flexible, inextensible bladder to contain the liquid is investigated experimentally and theoretically. The bladder affects both the configuration of the liquid in the tank and the sloshing frequencies and motion. The governing equations of liquid sloshing coupled to the structural dynamics of the bladder are formulated and examined to determine the interaction between the body forces of the liquid and the stiffness of the bladder and to show that the slosh dynamics can be represented by equivalent mechanical models. Tests are conducted to establish such mechanical models for normal and low-gravity conditions. For an inverted tank (liquid above the bladder), the sloshing is sufficiently different from conventional sloshing that the form of the equivalent mechanical model as well as the numerical values of the model parameters must be derived from the test results.

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