Determination of the hydrodynamic characteristics of a partially filled cavity containing a pendulum

Buzhinskii, V. A.; Stolbetsov, V. I.

doi:10.1007/bf01050729

Cited by 2 publications

(2 citation statements)

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“…Smooth polynomial potential function was used by Pilipchuk and Ibrahim [16] to model small amplitude free liquid oscillations in elevated rigid container. The vibro-impact problem of a pendulum oscillating in a rigid container was treated in previous works of Buzhinskii and Stolbetsov [17] and by Shaw and Shaw [18].…”

Section: Introductionmentioning

confidence: 99%

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

Farid

Gendelman

2016

Journal of Sound and Vibration

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The paper treats oscillations of a liquid in partially filled vessel under horizontal harmonic ground excitation. Such excitation may lead to hydraulic impacts. The liquid sloshing mass is modeled by equivalent pendulum, which can impact the vessel walls. We use parameters of the equivalent pendulum for well-explored case of cylindrical vessels. The hydraulic impacts are modeled by high-power potential function. Conditions for internal resonances are presented. A non-resonant behavior and dynamic response related to 3:1 internal resonance are explored. When the excitation amplitude exceeds a critical value, the system exhibits multiple steady state solutions. Quasi-periodic solutions appear in relatively narrow range of parameters.Numerical continuation links between resonant regimes found asymptotically for small excitation amplitude, and high-amplitude responses with intensive impacts.

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Section: Introductionmentioning

confidence: 99%

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

Farid

Gendelman

2016

Journal of Sound and Vibration

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“…We use high order smooth potential function [17,18] to model the interaction between the free-surface wave and the vessel walls, following Pilipchuk and Ibrahim [9]. The vibro-impact problem of a mass oscillating in a rigid container was solved in previous works by Buzhinskii and Stolbetsov [19] and by Shaw and Shaw [20].…”

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confidence: 99%

Vibration mitigation in partially liquid-filled vessel using passive energy absorbers

Farid

Levy²,

Gendelman

2017

Journal of Sound and Vibration

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This paper treats possible solutions for vibration mitigation in reduced-order model of partially-filled liquid tank under impulsive forcing. Such excitation may lead to hydraulic impacts applied on the tank inner walls. Finite stiffness of the tank walls is taken into account. We explore both linear (Tuned Mass Damper) and nonlinear (Nonlinear Energy Sink) passive vibration absorbers; mitigation performances are examined numerically. The liquid sloshing mass is modeled by equivalent massspring-dashpot system, which can both perform small-amplitude linear oscillations and impact the vessel walls. We use parameters of the equivalent mass-spring-dashpot system for well-explored case of cylindrical tanks. The hydraulic impacts are modeled by high-power potential and dissipation functions. Critical location in the tank structure is determined and expression of the corresponding local mechanical stress is derived. We usefinite-elemet approach to assess the natural frequencies for specific system parameters and to figure out possibilities for internal resonances. Numerical evaluation criteria are suggested to determine the energy absorption performance.

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Determination of the hydrodynamic characteristics of a partially filled cavity containing a pendulum

Cited by 2 publications

References 1 publication

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

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

Vibration mitigation in partially liquid-filled vessel using passive energy absorbers

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