Research Papers

Development and Validation of Finite Element Structure-Tuned Liquid Damper System Models

[+] Author and Article Information
Islam M. Soliman

Department of Civil and
Environmental Engineering,
Spencer Engineering Building (SEB),
The University of Western Ontario,
1151 Richmond Street,
London, ON N6A 3K7, Canada
e-mail: isoliman@alumni.uwo.ca

Michael J. Tait

Department of Civil Engineering,
John Hodgins Engineering Building (JHE),
McMaster University,
1280 Main Street West,
Hamilton, ON L8S 4L7, Canada
e-mail: taitm@mcmaster.ca

Ashraf A. El Damatty

Department of Civil and
Environmental Engineering,
Spencer Engineering Building (SEB),
The University of Western Ontario,
1151 Richmond Street,
London, ON N6A 3K7, Canada
e-mail: damatty@uwo.ca

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 18, 2013; final manuscript received June 11, 2015; published online August 3, 2015. Assoc. Editor: Tarunraj Singh.

J. Dyn. Sys., Meas., Control 137(11), 111001 (Aug 03, 2015) (13 pages) Paper No: DS-13-1401; doi: 10.1115/1.4030866 History: Received October 18, 2013

Implementation of supplemental damping systems (e.g., the dynamic vibration absorbers (DVAs)) to mitigate excessive tall building vibrations induced by external dynamic loads (wind storms or earthquakes) has increased over the last several decades. A tuned liquid damper (TLD) is a specific type of the DVAs that consists of a rigid tank which is partially filled with a liquid, usually water. The sloshing liquid inside the tank provides inertia forces that counteract the forces acting on the structure, thus reducing the building motion. A single sway mode of vibration is usually targeted, however, for certain structures multiple modes may need to be suppressed. Moreover, the location of the TLD on the floor plate is important for certain modes, such as a torsionally dominate mode. In this paper, a three-dimensional (3D) finite element (FE) structure-TLD system model (3D-structure-TLD) is proposed where the TLDs can be positioned at any location on the structure allowing the most effective positions in reducing the structure's dynamic response to be determined. Therefore, the response of a 3D structure (tower, high-rise building, bridge, etc.) fitted with single or multiple TLD(s) and subjected to dynamic excitation can be predicted using the proposed FE model. For torsionally sensitive structure (eccentric/irregular structures), this type of 3D numerical analysis is highly recommended. Two nonlinear TLD models are employed to simulate the TLD and implemented in the FE model. The 3D-structure-TLD system model is validated for the cases of sinusoidal and random excitation forces using existing experimental test values. Results from the 3D-structure-TLD system model are found to be in excellent agreement with values obtained from experimental tests.

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Fig. 1

Example of bidirectional TLD configurations to suppress: (a) perpendicular sway modes, (b) a pure torsion mode, and (c) combined sway and torsion modes (after Ref. [10])

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Fig. 2

The evolution of (a) a structure-TLD system into, (b) a generalized structural system with TLDs and then into, (c) a system with equivalent TMD representation

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Fig. 3

Schematic view of a 3D beam element and local coordinate axes (after Ref. [19])

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Fig. 4

Comparison of structural response under harmonic excitation (a) displacement, (b) velocity, and (c) acceleration time histories

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Fig. 5

(a) Schematic of a TLD and its dimensions, (b) photograph of a TLD equipped with internal damping screens, (c) view of the tank setup end view and enlarged view of the screen, and (d) coordinate system for nonlinear shallow water system

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Fig. 6

(a) Discretization of the tank length with respect to x and (b) discretization and modeling of the screen

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Fig. 7

EADTMD model (after Ref. [16])

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Fig. 8

Normalized energy dissipation frequency response curves obtained from the nonlinear TLD fluid model and the EADTMD model for (a) A/L  = 0.0026 and (b) A/L  = 0.0129

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Fig. 10

Frequency response curves for the 3D-structure-TLD system model

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Fig. 11

For minute 31: displacement response comparison of (a) 3D-structure-TLD system model employing TLD Model 1, (b) 3D-structure-TLD system model employing TLD Model 2, and (c) 3D-structure model with/without TLD attached



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