Internal resonances and dynamic responses in equivalent mechanical model of partially liquid-filled vessel

Farid, Maor; Gendelman, Oleg

doi:10.1016/j.jsv.2016.05.046

Cited by 20 publications

(8 citation statements)

References 25 publications

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“…On the other hand, it has been observed that if the sloshing is relatively mild, the free surface does not break and the sloshing motion is not chaotic [16], and its motion pattern is analogous to a mechanical system. erefore, many past studies simplify the sloshing liquid into a spring-mass [17,18] or a pendulum [19,20] system. e complication encountered in this approach is that since the mechanical analogy is not based on the fluid theory, it is hard to derive the parameters (mass, stiffness, damping, and natural frequency) of the analogical model directly, unless the tank geometry is simple such as a rectangular tank.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic Analysis of Partially Filled Liquid Tanks Subject to 3D Vehicular Manoeuvring

Han

Dai

Wang

et al. 2019

Shock and Vibration

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This paper is concerned with liquid sloshing in a partially filled container due to 3-dimensional vehicle motion. The liquid sloshing is described by a set of linear modal equations derived from the potential flow theory, which can be applied to liquid sloshing induced by arbitrary combination of lateral, longitudinal, and rotational excitations. The sloshing force and moment are expressed with a set of hydrodynamic coefficients that are determined by the linear velocity potential. These coefficients can be precalculated and incorporated into the motion equations of the vehicle system so that a fully coupled vehicle-sloshing model is available. In addition, we propose an approach to calculate the hydrodynamic coefficients using the outputs of commercial frequency-domain boundary element software in order to maximize the efficiency of modelling and computation. The accuracy of the proposed model is examined by comparison with available CFD and model test data in the literature. The case of a road tanker encountering a road bump during acceleration/braking is investigated. Results show that the tank rotational motion will affect the amplitude and the sloshing force, and neglecting tank rotation may lead to underestimation of the sloshing force magnitude.

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Section: Introductionmentioning

confidence: 99%

Hydrodynamic Analysis of Partially Filled Liquid Tanks Subject to 3D Vehicular Manoeuvring

Han

Dai

Wang

et al. 2019

Shock and Vibration

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“…Hydraulic jumps and wave collisions with the vessel shells express the strong non-linearities in the system [7]- [10].…”

Section: Introductionmentioning

confidence: 99%

“…Equivalent mechanical models for linear small-amplitude sloshing were based on pendulums and mass-spring systems were studied for different excitations and tank shapes [1], [38], [39]. However, since nonlinear sloshing regimes cannot be described by the linear models, major attempts were made to formulate nonlinear reduced order equivalent mechanical models [7], [8], [10], [26], [40], [41] that may predict and describe nonlinear responses observed experimentally. For instance, nonlinear rotary sloshing in a scale model of Centaur propellant tank at low fill level was modeled by combination of ordinary linear pendulum and a spherical pendulum (i.e.…”

Section: Introductionmentioning

confidence: 99%

“…In previous works, we treated hydraulic impacts regime with the help of reduced-order mechanical models. Both pendulum [10] and mass-spring systems [43], [44] were used to describe the vibro-impact regimes induced under a horizontal ground excitation. Tank elasticity and strongly nonlinear sloshing were considered, and different dynamical regimes were described with asymptotic tools that were validated numerically.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Kaneko and Yoshida (1999) and Kaneko and Mizota (2000) presented an analytical model describing the effectiveness of deep-water types of rectangular and cylindrical TLDs (DTLDs) with a submerged net for reducing the horizontal vibration of the structural system. Other studies examined the dynamic behavior of a liquid impact of a tank using as an equivalent inverted pendulum or a mass-spring-damper (Pilipchuk and Ibrahim, 2000; Farid and Gendelman, 2016; Farid et al., 2017).…”

Section: Introductionmentioning

confidence: 99%

On nonlinear perturbation analysis of a structure carrying a circular cylindrical liquid tank under horizontal excitation

Attari¹,

Rofooei

Waezi

2018

Journal of Vibration and Control

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The lateral response of a single degree of freedom structural system containing a rigid circular cylindrical liquid tank under harmonic and earthquake excitations at a 1:2 autoparametric resonance case is considered. The governing nonlinear differential equations of motion for the combined system are solved by means of a multiple scales method considering the first three liquid sloshing modes (1,1), (0,1), and (2,1), under horizontal excitation. The fixed points of the gyroscopic type of governing differential equations are determined and their stability is investigated employing the perturbation method. The obtained results reveal an increase in the stability region for a single-mode response with respect to the excitation amplitude. The saturation phenomenon is observed in the decoupled modes of the system; however, the structural mode and the first anti-symmetric mode of liquid are a combination of the saturated mode and another mode whose scale factor is crucial for the structural response. The results of perturbation analysis are in good agreement with results obtained from numerical methods.

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Internal resonances and dynamic responses in equivalent mechanical model of partially liquid-filled vessel

Cited by 20 publications

References 25 publications

Hydrodynamic Analysis of Partially Filled Liquid Tanks Subject to 3D Vehicular Manoeuvring

Hydrodynamic Analysis of Partially Filled Liquid Tanks Subject to 3D Vehicular Manoeuvring

Response regimes in equivalent mechanical model of moderately nonlinear liquid sloshing

On nonlinear perturbation analysis of a structure carrying a circular cylindrical liquid tank under horizontal excitation

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