Tuned liquid dampers under large amplitude excitation

Reed, D. A.; Yeh, Harry; Yu, Jinkyu; Garðarsson, Sigurður M.

doi:10.1016/s0167-6105(98)00084-1

Cited by 42 publications

(15 citation statements)

References 4 publications

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“…The first one consists of imposing aperiodic motion on the TLD by using ashaking table or a forced roll motion device and measuring the response in terms of lateral forcé or moment (Reed et al 1998, Tait etal. 2005).…”

Section: Introductionmentioning

confidence: 99%

“…Modelling TLDs fluid responses has been conducted using a range of approaches mostly based on mechanical analogies (Tait and Deng 2008), potential flow models of the free surface fluid flow (Frandsen 2005, Attari and Rofooei 2008, Ikeda and Nakagawa 1997, Ikeda 2003 or most commonly, non-linear shallow water wave theory (Sun and Fujino 1994, Reed et al 1998, Banerji et al 2000, Tait et al 2005. None of these has tried to properly model the effects of breaking waves on increasing the dampening effects of the TLD devices.…”

Section: Introductionmentioning

confidence: 99%

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Smoothed particle hydrodynamics (SPH) simulation of a tuned liquid damper (TLD) with angular motion

Bulian¹

2009

JHR

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The roll motion response of a single degree of freedom (SDOF) structural system to which a rigid rectangular partially filled liquid tank has been attached is considered. The SDOF structural system with the empty tank is first described with a mathematical model and this model is validated by performing decay experiments as well as experiments in which periodic excitations are applied to the system. The responses are accurately predicted by the model. The accuracy of these predictions allows us to study both experimentally and numericaily, with weakly compressible SPH, the performance of the partially filled tank as a tuned liquid damper (TLD). The sloshing flows inside the tank comprise the onset of breaking waves which make the TLDs devices extremely difficult to model, especially for the potential flow multimodal approaches commonly used to simúlate these sorts of coupled systems. In order to characterise the wave breaking effects on the response curves, tests have been performed with liquids of different viscosity, the increasing viscosity preventing the onset of breaking waves. The capabilities of SPH to treat this coupling problem are assessed and the results show that SPH is able to capture a substantial part of the physics involved in the addressed phenomena but further work remains still to be done relating to a more accurate treatment of the laminar viscosity and turbulence effects. RESUME La réponse en roulis d'un systéme a un degré de liberté (SDOF), auquel est fixée une cuve rectangulaire partiellement remplie de liquide, est étudiée dans cet article. Dans une premiére partie, un modele mathématique est proposé pour le systéme SDOF, calibré a l'aide de résultats expérimentaux d'oscillations libres et forcees, avec une excitation périodique. La réponse du systéme est reproduite avec precisión par le modele. L'efficacité de la cuve en tant qu' amortisseur liquide (TLD) est ensuite analysée expérimentalement et numériquement en utilisant la méthode de simulation SPH. Pour résoudre ees problémes de couplage, des méthodes basées sur la théorie du potentiel sont généralement utilisées. Dans le cas présent, leur utilisation est limitée a cause de la formation de vagues déferlantes lors du ballotement du liquide dans la cuve. Une plus grande viscosité du liquide réduisant la formation de ees vagues, des expériences ont été effectuées avec des liquides de différentes viscosités pour quantifier l'impact des déferlantes sur la réponse globale du systéme couplé. La capacité de la méthode SPH pour résoudre ce probléme est discutée et les résultats montrent que les principaux phénoménes physiques sont reproduits avec SPH. Cependant, des travaux restent nécessaires quant au traitement de la viscosité laminaire et a la partie turbulente de l'écoulement.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Smoothed particle hydrodynamics (SPH) simulation of a tuned liquid damper (TLD) with angular motion

Bulian¹

2009

JHR

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“…An objective was to derive a general mathematical theory of periodic (steady-state) solutions with small dispersion and dissipation (by incorporation of artificial damping terms). Lepelletier & Raichler (1988), Fujino et al (1992), Armenio & La Rocca (1996), Modi & Seto (1997), Reed et al (1998) and van Daalen et al (1999) performed a series of combined experimental and numerical studies of resonant sloshing with shallow depth. Their calculations were based mainly on dissipative and dispersive models and exhibited satisfactory agreement with experiments for h/l < 0.09 and sufficiently small forcing amplitude relative to the mean fluid depth.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic modal approximation of nonlinear resonant sloshing in a rectangular tank with small fluid depth

Faltinsen

Timokha²

2002

J. Fluid Mech.

141

107

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The modal system describing nonlinear sloshing with inviscid flows in a rectangular rigid tank is revised to match both shallow fluid and secondary (internal) resonance asymptotics. The main goal is to examine nonlinear resonant waves for intermediate depth/breadth ratio 0.1 [lsim ] h/l [lsim ] 0.24 forced by surge/pitch excitation with frequency in the vicinity of the lowest natural frequency. The revised modal equations take full account of nonlinearities up to fourth-order polynomial terms in generalized coordinates and h/l and may be treated as a modal Boussinesq-type theory. The system is truncated with a high number of modes and shows good agreement with experimental data by Rognebakke (1998) for transient motions, where previous finite depth modal theories failed. However, difficulties may occur when experiments show significant energy dissipation associated with run-up at the walls and wave breaking. After reviewing published results on damping rates for lower and higher modes, the linear damping terms due to the linear laminar boundary layer near the tank's surface and viscosity in the fluid bulk are incorporated. This improves the simulation of transient motions. The steady-state response agrees well with experiments by Chester & Bones (1968) for shallow water, and Abramson et al. (1974), Olsen & Johnsen (1975) for intermediate fluid depths. When h/l [lsim ] 0.05, convergence problems associated with increasing the dimension of the modal system are reported.

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“…Especially, Reed et al . (1998a, 1998b) confirmed that as the excitation amplitude exceeds to a certain limit, these phenomena are intensively developed by carrying out shaking table test on rectangular TLD. After their researches, a variety of both analytical and experimental studies have been performed to account for the nonlinear behaviour of TLDs (Yalla and Kareem, 1999; Yu et al ., 1999) and to present a TLD design procedure (Tait, 2008).…”

Section: Introductionmentioning

confidence: 80%

“…TLDs have strong nonlinearities due to multi‐directional motion of liquid within a container. Nonlinearities of TLDs refer to the ‘stiffness hardening’ and the ‘jump frequency’ phenomena (Fujino et al ., 1992; Sun et al ., 1992; Reed et al ., 1998a, 1998b). The former indicates that the maximum liquid height is overestimated at an excitation frequency much higher than the theoretical natural frequency of a TLD.…”

Section: Introductionmentioning

confidence: 99%

Experimental verification on nonlinear dynamic characteristic of a tuned liquid column damper subjected to various excitation amplitudes

Lee¹,

Lee

Kang

2010

Structural Design Tall Build

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In this study, nonlinear dynamic characteristics of a tuned liquid column damper (TLCD) varying with the amplitude of excitation input are investigated through shaking table tests and numerical model of a TLCD. The tuned mass damper (TMD) analogy of a TLCD is used to simplify the formulation, in which it involves equivalent viscous damping of the inherent nonlinear damping term of a TLCD. The equivalent TMD model of a TLCD shows that the dynamic behaviour of a TLCD is affected by the natural frequency, damping ratio and ratio of total liquid mass to the mass in horizontal column of a TLCD. Shaking table test is performed to obtain experimental transfer functions that describe the dynamic behaviour of a TLCD specimen subjected to a harmonic loading with various excitation amplitudes. Transfer functions for various excitation amplitudes are measured from shaking table acceleration to both the liquid displacement within a TLCD container and the control force produced by a TLCD specimen. In addition, the dissipation energy due to the inherent damping of a TLCD is measured from the shaking table test varying with excitation amplitude. The variation of design parameters of a TLCD according to the excitation amplitude is investigated by comparing the transfer functions obtained from the shaking table test to those derived from the TMD analogy of a TLCD. These results showed that both the natural frequency and the mass ratio of a TLCD are independent on the variation of excitation amplitude, while the damping ratio of a TLCD increases with larger excitation amplitude.

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Tuned liquid dampers under large amplitude excitation

Cited by 42 publications

References 4 publications

Smoothed particle hydrodynamics (SPH) simulation of a tuned liquid damper (TLD) with angular motion

Smoothed particle hydrodynamics (SPH) simulation of a tuned liquid damper (TLD) with angular motion

Asymptotic modal approximation of nonlinear resonant sloshing in a rectangular tank with small fluid depth

Experimental verification on nonlinear dynamic characteristic of a tuned liquid column damper subjected to various excitation amplitudes

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