Innovative modeling of Tuned Liquid Column Damper motion

Matteo, Alberto Di; Iacono, F.; Navarra, Giacomo; Pirrotta, Antonina

doi:10.1016/j.cnsns.2014.11.005

Cited by 52 publications

(18 citation statements)

References 18 publications

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“…In fact, Equation (35) conveys a matrix identity in a proper 2n-dimensional vector space, whose meaning and ultimate dimensions (following those of α and β) are dictated by the context inherent in the problem at hand. On the other side, one gains a root-free matrix form expression, that could facilitate the solution of the problem although it must be reintenpreted in the light of the gained degree (or, degrees) of freedom (naturally conveyed, as seen, by the procedure).…”

Section: Square Root Functionmentioning

confidence: 99%

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Root Operators and “Evolution” Equations

Dattoli

Torre

2015

Mathematics

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Root-operator factorization à la Dirac provides an effective tool to deal with equations, which are not of evolution type, or are ruled by fractional differential operators, thus eventually yielding evolution-like equations although for a multicomponent vector. We will review the method along with its extension to root operators of degree higher than two. Also, we will show the results obtained by the Dirac-method as well as results from other methods, specifically in connection with evolution-like equations ruled by square-root operators, that we will address to as relativistic evolution equations.

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Section: Square Root Functionmentioning

confidence: 99%

“…For instance, it can effectively be applied to fractional differential equations, which, as is well known, are finding wide applications in modeling both physical and engineering systems [31][32][33][34][35].…”

Section: Evolution Operator and Fractional Partial Differential Equatmentioning

confidence: 99%

Root Operators and “Evolution” Equations

Dattoli

Torre

2015

Mathematics

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“…(5) represents a set of n + 2 differential equations, the second of which is nonlinear. Specifically, the nonlinear term is generally used to model head losses caused by the presence of an orifice inside the TLCD and viscous interaction between the liquid and rigid container wall [6]. For an SDOF main structure (n = 1) as depicted in Fig.…”

Section: Problem Formulationmentioning

confidence: 99%

“…The TLCD is generally modeled as a single-degree-of-freedom (SDOF) system rigidly connected to a vibrating structure [6,8,13], and its effectiveness depends on proper tuning of the natural frequency and damping ratio, such as in a TMD. However, unlike the traditional TMD, the TLCD response is nonlinear [5,9] and the optimal damping parameters cannot be established a priori unless the forcing magnitude is known and numerical optimization methods are required (see [7] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Optimal design of tuned liquid column dampers for seismic response control of base-isolated structures

et al. 2017

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In this paper, the use of a tuned liquid column damper (TLCD) as a cost-effective means to control the seismic response of a base-isolated structure is studied. A straightforward direct approach for the optimal design of such a device is proposed, considering a white noise model of the base excitation. On this base, a direct optimization procedure of the TLCD design parameters is performed and optimal design charts are presented as a ready-to-use practical design tool. Comparison with the optimal parameters obtained considering a classical iterative statistical linearization technique proves the reliability of the proposed approach. The performance of the base-isolated TLCD-controlled structure is examined and compared with that of the simple base-isolated one (without TLCD), using a set of 44 recorded ground motions as base excitation. Theoretical and numerical results show that the TLCD is rather effective in reducing the response of base-isolated structures under strong earthquakes. Therefore, considering its advantageous characteristics and its overall beneficial effects, TLCDs can be considered as practical and appealing means to control the seismic response of base-isolated structures.

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“…Similar to TMD, the vibration reduction results from a transfer of structural vibration energy into a liquid movement with energy dissipation by viscous and turbulent damping. Several innovative strategies have been developed to improve the tuning of TLCD in practical applications in order to make these devices more competitive [1][2][3]. Still, TLCD operate at extremely low natural frequencies in the range of 0.1-0.5 Hz, and consequently, the original design is only appropriate for very large structures.…”

Section: Introductionmentioning

confidence: 99%

Design of coupled tuned liquid column gas dampers for multi-mode reduction in vibrating structures

Hochrainer

Fotiu

2017

Acta Mech

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Tuned liquid column gas dampers (TLCGD) show excellent energy and vibration absorbing capabilities appropriate for earthquake engineering. The objective of this work is to introduce a new concept of coupled tuned liquid column gas dampers which allow an extended field of applications. In the proposed configuration, several absorbers are connected in a spatial chain generating a multi-degree of freedom damper system which can be tuned to a selected number of structural modes. Because all absorbers vibrate at different natural frequencies simultaneously, the proposed design represents an improvement over conventional TLCGD which can only be tuned to a single structural mode. Another benefit of multi-mode tuning is the significant increase in active liquid mass compared to other damping devices. For a most effective vibration reduction, a numerical tuning process in state space will deliver the free system natural frequency and damping ratio of all absorbers. The capabilities of the new damping device are demonstrated on a simple laboratory structure that is investigated numerically and experimentally. The results illustrate the excellent energy dissipating properties of the proposed setup and emphasize the adequacy of coupled TLGCD for base-isolated structures. A notable benefit of such types of dampers lies in their lack of moving mechanical parts, their cheap and easy implementation into civil engineering structures and low maintenance costs. Possible modifications with respect to natural frequency and even of the damping properties can be performed with little additional expenses, and the additional weight due to the liquid mass may be used as a possible reservoir, e.g., for fire fighting. Apart from that, they exhibit a performance that is comparable to tuned mass dampers.

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Innovative modeling of Tuned Liquid Column Damper motion

Cited by 52 publications

References 18 publications

Root Operators and “Evolution” Equations

Root Operators and “Evolution” Equations

Optimal design of tuned liquid column dampers for seismic response control of base-isolated structures

Design of coupled tuned liquid column gas dampers for multi-mode reduction in vibrating structures

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