Mathematical Modelling of Vibrations and Loading of Railway Tanks Taking into Account the Liquid Cargo Mobility

Богомаз, Г И; Markova, O. M.; Chernomashentseva, Yu. G.

doi:10.1080/00423119808969453

Cited by 9 publications

(12 citation statements)

References 1 publication

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“…However, comparison with computational fluid dynamics (CFD) simulations has shown that these simplified models are not able to accurately represent the system parameters, capture the effect of the distributed inertia and elasticity, or model the shape of the free surface. [12][13][14] Modern analysis methods for liquid sloshing typically use CFD algorithms and finite volume and boundary element methods. 7,15 However, the integration of the Eulerian-based liquid sloshing models with the computational Lagrangian-based MBS vehicle algorithms is difficult because of the fundamental differences between the two approaches.…”

Section: Introductionmentioning

confidence: 99%

Integration of geometry and analysis for the study of liquid sloshing in railroad vehicle dynamics

Shi

Wang

Nicolsen

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part K:

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A new continuum-based liquid sloshing approach that accounts for the effect of complex fluid and tank-car geometry on railroad vehicle dynamics is developed in this investigation. A unified geometry/analysis mesh is used from the outset to examine the effect of liquid sloshing on railroad vehicle dynamics during curve negotiation and during the application of electronically controlled pneumatic (ECP) brakes that produce braking forces uniformly and simultaneously across all cars. Using a non-modal approach, the geometry of the tank-car and fluid is accurately defined, a continuum-based fluid constitutive model is employed, and a fluid-tank contact algorithm is developed. The liquid sloshing model is integrated with a three-dimensional multibody system (MBS) railroad vehicle algorithm which accounts for the nonlinear wheel/rail contact. The three-dimensional wheel/rail contact force formulation used in this study accounts for the longitudinal, lateral, and spin creep forces that influence the vehicle stability. In order to examine the effect of the liquid sloshing on the railroad vehicle dynamics during curve negotiation, a general and precise definition of the outward inertia force is defined, and in order to correctly capture the fluid and tank-car geometry, the absolute nodal coordinate formulation (ANCF) is used. The balance speed and centrifugal effects in the case of tank-car partially filled with liquid are studied and compared with the equivalent rigid body model in curve negotiation and braking scenarios. In particular, the results obtained in the case of the ECP brake application of two freight car model are compared with the results obtained when using conventional braking. The traction analysis shows that liquid sloshing has a significant effect on the load distribution between the front and rear trucks. A larger coupler force develops when using conventional braking compared with ECP braking, and the liquid sloshing contributes to amplifying the coupler force in the ECP braking case compared to the equivalent rigid body model which does not capture the fluid nonlinear inertia effects. Furthermore, the results obtained in this study show that liquid sloshing can exacerbate the unbalance effects when the rail vehicle negotiates a curve at a velocity higher than the balance speed.

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Section: Introductionmentioning

confidence: 99%

Integration of geometry and analysis for the study of liquid sloshing in railroad vehicle dynamics

Shi

Wang

Nicolsen

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…The cosimulations of the MBD model of the tank car and liquid slosh model were initiated at time t ¼ 0, assuming zero initial values for liquid slosh force and moment (F y,S t ð Þ ¼ 0; M V t ð Þ ¼ 0Þ under zero lateral acceleration and roll angle of the tank. The state-space equations (14) were solved in Matlab/ Simulink under instantaneous lateral acceleration at the geometric center of tank and roll angle response obtained from the MBD model of the tank car. The resulting slosh force and roll moment were subsequently applied to the MBD model in UM software to compute the car body responses, subject to slosh force F y,S t ð Þ and roll moment M V ðtÞ.…”

Section: Methods Of Analysismentioning

confidence: 99%

Investigation of coupled dynamics of a railway tank car and liquid cargo subject to a switch-passing maneuver

Ashtiani

Rakheja

Ahmed

2019

Proceedings of the Institution of Mechanical Engineers, Part F:

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The movement of the liquid cargo within a partly filled tank car is known to impose additional slosh forces and moments that may adversely affect the dynamic responses of the vehicle. This study is aimed at analyzing the liquid cargo slosh in a partly filled tank car and its effects on vehicle responses during a switch-passing maneuver. A two-dimensional analytical liquid slosh model is formulated for the analyses of the liquid load shift in the roll plane, lateral slosh force, and roll moment through summation of first four antisymmetric modes of the liquid. The analytical slosh model is integrated to a 114 degrees-of-freedom multibody dynamic model of the railway tank car comprising nonlinear wheel–rail contact and contact pairs of the suspension system. The validity of the slosh model is illustrated by comparing the responses with those reported in other studies and those obtained from a nonlinear computational fluid dynamic model. The coupled fluid–vehicle model is subsequently used to study the effects of fluid slosh during switch-passing maneuvers on different response measures, namely roll motion of the tank car, lateral and vertical wheel–rail contact forces, and derailment ratio. The significance of the liquid cargo slosh in the partially filled state is demonstrated by comparing the responses with those of the car with equivalent rigid cargo. The results show that liquid sloshing within the partly filled car can lead to higher magnitudes of car body roll angle and thereby the unloading ratio compared to the conventional rigid cargo car. Switch-passing critical speeds are further identified for different fill ratios and switch geometries. For fill ratios below 80%, the switch-passing critical speeds of the partly filled car are substantially lower compared to those of the equivalent rigid cargo car. Neglecting the contributions due to dynamic slosh force and roll moment arising from a partially filled railway tank car may thus lead to underestimation of the critical speed in switch-passing maneuvers.

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“…As it is rather difficult to integrate such complex finite element fluid flow models into a MBS simulation program, an equivalent multi-body model was sought that would be able to represent the liquid's sloshing and its interaction with the vehicle [6][7][8][9][10][11].…”

Section: Development and Incorporation Of The Fluid Modelmentioning

confidence: 99%

“…The sloshing movements of liquids inside containers are usually simulated by means of highly sophisticated finite element computer programs able to solve the complex fluid flow equations, such as Navier-Stokes equations. Since it is rather difficult to intégrate such complex finite element fluid flow models into a multibody system simulation program, an equivalent multibody model was sought that would be able to represent the liquid's sloshing and its interaction with the vehicle [6][7][8][9][10][11].…”

Section: Development and Incorporation Of The Fluid Modelmentioning

confidence: 99%

Simulation of Freight Trains Equipped with Partially Filled Tank Containers and Related Resonance Phenomenon

Vera

Paulin²,

Suarez³

et al. 2005

Proceedings of the Institution of Mechanical Engineers, Part F:

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In order to study the fluid motion -vehicle dynamics interaction, a model of four liquid filled two-axle container freight wagons was set up. The railway vehicle has been modelled as a multibody system. To include fluid sloshing, an equivalent mechanical model has been developed and incorporated. The influence of several factors has been studied in computer simulations, such as track defects, curve negotiation, train velocity, wheel wear, liquid and solid wagonload, and container baffles. SIMPACK has been used for multibody systems analysis, and ANSYS for liquid sloshing modelling and equivalent mechanical systems validation. Acceleration and braking manoeuvres of the freight train set the liquid cargo into motion. This longitudinal sloshing motion of the fluid cargo inside the tanks initiated a swinging motion of some components of the coupling gear. The coupling gear consists of UIC standard traction hooks and coupling screws that are located between buffers. One of the coupling screws is placed in the traction hook of the opposite wagón thus joining the two wagons, whereas the un-used coupling screw rests on a hanger. Simulation results showed that, for certain combinations of type of liquid, filling level and container dimensions, the liquid cargo could provoke an undesirable, although not hazardous, reléase of the un-used coupling screw from its hanger. The coupling screw's reléase was especially obtained when a period of acceleration was followed by an abrupt braking manoeuvre at 1 m/s2. It was shown that a resonance effect between the liquid's oscillation and the coupling screw's rotary motion could be the reason for the coupling screw's undesired reléase. Possible solutions in order to avoid the phenomenon are given.

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Mathematical Modelling of Vibrations and Loading of Railway Tanks Taking into Account the Liquid Cargo Mobility

Cited by 9 publications

References 1 publication

Integration of geometry and analysis for the study of liquid sloshing in railroad vehicle dynamics

Integration of geometry and analysis for the study of liquid sloshing in railroad vehicle dynamics

Investigation of coupled dynamics of a railway tank car and liquid cargo subject to a switch-passing maneuver

Simulation of Freight Trains Equipped with Partially Filled Tank Containers and Related Resonance Phenomenon

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