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

Farid, Maor; Levy, Nurit; Gendelman, Oleg

doi:10.1016/j.jsv.2017.06.013

Cited by 23 publications

(14 citation statements)

References 45 publications

(64 reference statements)

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“…In this case, the mass ratio of the first sloshing mass to the total mass m 1 / m is the maximum value, whereas m 0 / m is the minimum value and the mass ratio of the higher order sloshing mass to the total mass is less than 5%. It is concluded that it is suitable to consider only the first sloshing mass in the equivalent mechanical model of the liquid motion in the cylindrical tank . However, the effect of the second sloshing mass on the equivalent mechanical model of the ATLD should be further investigated.…”

Section: Model Developmentmentioning

confidence: 99%

Optimal design of multiple annular tuned liquid dampers for seismic reduction of 1,100-kV composite bushing

Yue

Chen

2019

Struct Control Health Monit

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Summary It is of great significance to perform seismic mitigation for the 1,100‐kV composite bushings because they are vulnerable to damage during earthquakes. In this paper, a new design process of multiple tuned liquid dampers (MTLDs), utilizing the displacement transfer function curves and the equivalent mechanical model of annular tuned liquid damper (ATLD), is proposed for seismic reduction of the 1,100‐kV composite bushing. At first, the equivalent mechanical model of ATLD is derived based on the linear wave theory. The effects of the radius ratio and the liquid‐filled depth ratio on the equivalent sloshing mass are discussed. The accuracy of the equivalent mechanical model is also verified by comparing the results with those from the Housner's model and the finite element model. And then, the transfer functions of the structure with MATLD attached are formulated in the frequency domain. The parameters, including the frequency ratio, the mass ratio, and the damping ratio, that influence the transfer function curves are also investigated. Based on these transfer function curves, the new design process of MATLD is presented. Combining with the equivalent mechanical model of ATLD, a dynamic analysis of the bushing equipped with MATLD in the dome is performed under the real earthquake records. It is concluded that the MATLD performs better than the ATLD and the bushing equipped with 5ATLD in the dome is the optimal design for seismic reduction.

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Section: Model Developmentmentioning

confidence: 99%

Optimal design of multiple annular tuned liquid dampers for seismic reduction of 1,100-kV composite bushing

Yue

Chen

2019

Struct Control Health Monit

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“…δ t ( ) is the Dirac delta function. Evaluation of realistic values for these parameters is presented in [19]. As explained above, the ratio of masses ε is considered as the small parameter of the problem.…”

Section: Equations Of Motionmentioning

confidence: 99%

“…Expression (19) is valid for n p n N ∀ ∈ : > − ( + 1) without loss of generality, since it requires only p > − 1/2, i.e. expression (19) is valid for every feasible value of p.…”

Section: Derivation Of the Velocity-dependent Restitution Coefficientmentioning

confidence: 99%

Response regimes in equivalent mechanical model of strongly nonlinear liquid sloshing

Farid

Gendelman

2017

International Journal of Non-Linear Mechanics

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A B S T R A C T Equivalent mechanical model of liquid sloshing in partially-filled cylindrical vessel is treated in the cases of free oscillations and of horizontal base excitation. The model is designed to cover both regimes of linear and essentially nonlinear sloshing. The latter regime involves hydraulic impacts applied to the walls of the vessel. These hydraulic impacts are commonly simulated with the help of high-power potential and dissipation functions. For analytical treatment, we substitute this traditional approach by consideration of the impacts with velocity-dependent restitution coefficient. The resulting model is similar to recently explored vibro-impact nonlinear energy sink (VI NES) attached to externally forced linear oscillator. This similarity allowed exploration of possible response regimes. Steady-state and chaotic strongly modulated responses are encountered. Besides, we simulated the responses to horizontal excitation with addition of Gaussian white noise, and related them to reduced dynamics of the system on a slow invariant manifold (SIM). All analytical predictions are in good agreement with direct numerical simulations of the initial reduced-order model.

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“…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%

“…Tank elasticity and strongly nonlinear sloshing were considered, and different dynamical regimes were described with asymptotic tools that were validated numerically. In [44], analysis of realistic partiallyfilled tank was shown and mitigation of vibrations was optimized with the help tuned mass damper (TMD) and nonlinear energy sink (NES).…”

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

Cited by 23 publications

References 45 publications

Optimal design of multiple annular tuned liquid dampers for seismic reduction of 1,100-kV composite bushing

Optimal design of multiple annular tuned liquid dampers for seismic reduction of 1,100-kV composite bushing

Response regimes in equivalent mechanical model of strongly nonlinear liquid sloshing

Response regimes in equivalent mechanical model of moderately nonlinear liquid sloshing

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