Fully nonlinear analysis of second-order sloshing resonance in a three-dimensional tank

Zhang, Chongwei; Li, Yajie; Meng, Qicheng

doi:10.1016/j.compfluid.2015.04.016

Cited by 29 publications

(10 citation statements)

References 16 publications

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“…Namely, this mode of motion is predicted by a group of researches [3,4]. This result is confirmed by several experiments [5][6][7]. This difference in theoretical results takes place because of the effect of modulation, which appeared due to including into the model of oscillations on normal frequencies of all normal modes, which is not done in [3,4].…”

Section: Near-resonant Behavior Of the Reservoir With Liquid On Movabmentioning

confidence: 72%

Peculiarities of dynamics of the reservoir with a free-surface liquid on pendulum suspension with the moving suspension point

Limarchenko¹,

Nefedov²

2018

Math. Model. Comput.

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A problem of dynamics of a reservoir of cylindrical shape, partially filled with liquid, on pendulum suspension with movable suspension point is under investigation. The problem is considered in nonlinear statement with the purpose of clarification of the effect of pendulum suspension on both frequency characteristics and the system behavior in the near-resonance zone. An analytical and numerical study shows that normal frequencies of oscillations have considerable changes for both quasi-rigid pendulum mode of motion and especially for the frequency of liquid sloshing modes. Numerical examples show that resonant properties of the system for below resonance, above resonance and near resonance modes are considerably different and the effect of amplitude modulation manifests strongly for all cases.

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Section: Near-resonant Behavior Of the Reservoir With Liquid On Movabmentioning

confidence: 72%

Peculiarities of dynamics of the reservoir with a free-surface liquid on pendulum suspension with the moving suspension point

Limarchenko¹,

Nefedov²

2018

Math. Model. Comput.

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“…The effects of factors, such as vessel mass, number of tanks, and tank configurations, are studied. The present work is a follow-up study of the previous research (e.g., Zhang et al 2015;Zhang 2015b) on liquid sloshing caused by prescribed excitations.…”

Section: Introductionmentioning

confidence: 88%

Analytical Study of Transient Coupling between Vessel Motion and Liquid Sloshing in Multiple Tanks

Zhang

2016

J. Eng. Mech.

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The transient coupling between the vessel motion and liquid sloshing in multiple tanks is investigated. External disturbance factors (e.g., spring constraint or force field) that might affect the oscillation characters of the coupling system are not involved so that the vessel motion is only excited by the liquid sloshing in tanks. The analytical solution for this coupling problem has been derived based on the potential flow theory, which converts the problem to a linear system of ordinary differential equations. The approach to determine natural frequencies of the coupling system is also given. The vessel with one or more rectangular tanks is considered for cases studies. Effects of factors, such as vessel mass, number of tanks, tank configuration and free-surface deformation on the vessel motion, liquid sloshing, and mechanical-energy components of the system are studied systematically.

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“…In the work made by Zhang et al [4] boundary element method (BEM) adopted to investigate the sloshing in 3D rectangular tanks in vicinity of second-order resonance. Fully-nonlinear free-surface boundary conditions were applied.…”

Section: Qualitative Comparison With Computational and Experimental Rmentioning

confidence: 99%

“…Near a resonance,one can encounter high-amplitude steep sloshing waves and hydraulic jumps. In the former case, nonlinear dynamical features may take place, for example multiple periodic solutions ('jump' phenomenon) [1], weakly quasi-periodic [2], [3] and strongly modulated responses [4]. Based on experimental results, it was pointed that cubic spring seems to describe the dynamical regimes in the best way [5].…”

Section: Introductionmentioning

confidence: 99%

Response regimes in equivalent mechanical model of moderately nonlinear liquid sloshing

Farid

Gendelman

2018

Nonlinear Dyn

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The paper considers non-stationary responses in reduced-order model (ROM) of partially liquid-filled tank under external forcing. The model involves one common degree of freedom for the tank and the non-sloshing portion of the liquid, and the other onefor the sloshing portion of the liquid. The coupling between these degrees of freedom is nonlinear, with the lowest-order potential dictated by symmetry considerations. Since the mass of the sloshing liquid in realistic conditions does not exceed 10% of the total mass of the system, the reduced-order model turns to be formally equivalent to well-studied oscillatory systems with nonlinear energy sinks (NES). Exploiting this analogy, and applying the methodology known from the studies of the systems with NES, we predict a multitude of possible nonstationary responses in the considered ROM. These responses conform, at least on the qualitative level, to the responses observed in experimental sloshing settings, multi-modal theoretical models and full-scale numeric simulations.

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Fully nonlinear analysis of second-order sloshing resonance in a three-dimensional tank

Cited by 29 publications

References 16 publications

Peculiarities of dynamics of the reservoir with a free-surface liquid on pendulum suspension with the moving suspension point

Peculiarities of dynamics of the reservoir with a free-surface liquid on pendulum suspension with the moving suspension point

Analytical Study of Transient Coupling between Vessel Motion and Liquid Sloshing in Multiple Tanks

Response regimes in equivalent mechanical model of moderately nonlinear liquid sloshing

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