Modeling, Simulation, and Experimental Analysis of Liquid Sloshing Dynamics

Schröck, Johannes; Wenninger, Johannes; Karer, Erwin; Eitzlmayr, Andreas

doi:10.1007/978-3-030-79325-8_19

Cited by 3 publications

(2 citation statements)

References 8 publications

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“…Sloshing dynamics are described by the fluid field equations, which can be solved numerically, e.g. by the finite element method [2,3] or smooth particle hydrodynamics [4][5][6][7][8] which are prticularly suitable for modelling large free surface displacments and splashing. While numerical methods are applicable to containers of arbitrary shapes, the resulting models are often unsuitable for model-based control tasks due to their high computational demand.…”

Section: Introductionmentioning

confidence: 99%

Rapid sloshing-free transport of liquids in arbitrarily shaped containers

Toth,

Scharner,

Schirrer

et al. 2024

Preprint

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We present a model-based feedforward control strategy suitable for designing swift rest-to-rest maneu-vers for liquids in arbitrarily shaped containers. We employ the commonly used equivalent pendulummodel to represent the sloshing dynamics and suggest a novel parameter identification scheme suitablefor arbitrary container shapes and any number of sloshing modes. By computing natural modes andfluid reaction forces and torques for imposed harmonic container motions via a finite element model,we obtain data for the identification scheme. A fitting procedure then yields highly accurate parameters for a physical pendulum model, where each pendulum represents one sloshing mode. We alsoprovide a thorough analysis of parameter identifiability and guidelines for obtaining robust parameterestimates. The proposed feed forward control method uses a virtual tray pendulum on which we placethe container (in the form of its equivalent pendulum model). Designing the virtual tray such thatthe fluid’s dominant sloshing mode becomes uncontrollable for displacements of the tray pendulumpivot effectively zeros out any sloshing motion in this mode. We then exploit the flatness property ofthe resulting system to design rest-to-rest maneuvers where any residual sloshing motion (in highermodes) can be exactly stopped at the end of the maneuver. The effectiveness of the proposed methodis demonstrated through extensive simulations and experimental results using a Martini cocktail glass,whose shape is challenging in terms of sloshing. The experimental results show the successful, accurate suppression of sloshing, validating the efficacy of the proposed concept.

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Section: Introductionmentioning

confidence: 99%

Rapid sloshing-free transport of liquids in arbitrarily shaped containers

Toth,

Scharner,

Schirrer

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…Theoretical analysis, numerical calculation and experiment are usually used to analyze and study the liquid sloshing characteristics and related parameters of the tank [4,5]. The attitude and orbit control system of launch vehicle and satellite can be optimized according to the sloshing result [6].…”

Section: Introductionmentioning

confidence: 99%

Experimental Study on Liquid Sloshing of a Vane-type Surface Tension Tank for Satellite

Liu¹,

Li²,

Li³

et al. 2022

Microgravity Sci. Technol.

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Experiment research on liquid sloshing performance of a vane type tank used in high orbit satellite is carried out. The liquid sloshing tests of the tank without propellant management device (PMD) are developed under different liquid lling ratios. Experimental test results are in good agreement with theoretical results, which shows the reliability of test system. Liquid sloshing tests of the tank with PMD are performed with different directions and liquid lling ratios. There has a linear relationship between sloshing frequency and liquid lling ratio of vertical installation test when the liquid-gas interface is in the hemisphere. When the gas-liquid interface is in the cylindrical section, the sloshing frequency of vertical installation test remains basically unchanged. The inverted conical accumulator structure of PMD can increases the damping in the tank of vertical installation. The sloshing mass for vertical direction is less than the result of horizontal direction. Liquid sloshing results of the vane type propellant tank will provide a guidance for the design of spacecraft structure and control system.

show abstract

Rapid sloshing-free transport of liquids in arbitrarily shaped containers

Toth,

Scharner,

Schirrer

et al. 2024

Acta Mech

View full text Add to dashboard Cite

We present a model-based feedforward control strategy suitable for designing swift rest-to-rest maneuvers for liquids in arbitrarily shaped containers. We employ the commonly used equivalent pendulum model to represent the sloshing dynamics and suggest a novel parameter identification scheme suitable for arbitrary container shapes and any number of sloshing modes. By computing natural modes and fluid reaction forces and torques for imposed harmonic container motions via a finite element model, we obtain data for the identification scheme. A fitting procedure then yields highly accurate parameters for a physical pendulum model, where each pendulum represents one sloshing mode. We also provide a thorough analysis of parameter identifiability and guidelines for obtaining robust parameter estimates. The proposed feedforward control method uses a virtual tray pendulum on which we place the container (in the form of its equivalent pendulum model). Designing the virtual tray such that the fluid’s dominant sloshing mode cannot be excited by horizontally moving the tray pendulum pivot effectively zeros out any sloshing motion in this mode. We then exploit the flatness property of the resulting system to design rest-to-rest maneuvers where any residual sloshing motion (in higher modes) can be exactly stopped at the end of the maneuver. The effectiveness of the proposed method is demonstrated through extensive simulations and experimental results using a Martini cocktail glass, whose shape is challenging in terms of sloshing. The experimental results show the successful, accurate suppression of sloshing, validating the efficacy of the proposed concept.

show abstract

Modeling, Simulation, and Experimental Analysis of Liquid Sloshing Dynamics

Cited by 3 publications

References 8 publications

Rapid sloshing-free transport of liquids in arbitrarily shaped containers

Rapid sloshing-free transport of liquids in arbitrarily shaped containers

Experimental Study on Liquid Sloshing of a Vane-type Surface Tension Tank for Satellite

Rapid sloshing-free transport of liquids in arbitrarily shaped containers

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