Development and validation of a simple two degree of freedom model for predicting maximum fundamental sloshing mode wave height in a cylindrical tank

Sharma, Vikas; Arun, C. O.; Krishna, I. R. Praveen

doi:10.1016/j.jsv.2019.114906

Cited by 15 publications

(9 citation statements)

References 14 publications

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“…Damping rate parameter was found to be 1.84 in the first vibration mode in the tangential and radial directions, which accounted for the fundamental mode of the liquid [36,37]. With the help of this value, the natural frequency of the sloshing liquid can be calculated, as well as the lateral force acting on the walls of the tank, calculated according to the linearized hydrodynamic theory of sloshing [36,38]. In this way, the sloshing liquid mass (Equation ( 2)) and sloshing liquid stiffness are derived.…”

Section: Design Of Tlds and Equations Of Motionmentioning

confidence: 95%

“…The Bessel function is a function used in solving problems related to the wave propagation of cylindrical bodies. The roots of this function form the damping rate parameter (ξmn), which specifies the indices of vibration modes in the tangential (m) and radial (n) directions [36]. Damping rate parameter was found to be 1.84 in the first vibration mode in the tangential and radial directions, which accounted for the fundamental mode of the liquid [36,37].…”

Section: Design Of Tlds and Equations Of Motionmentioning

confidence: 99%

“…The roots of this function form the damping rate parameter (ξmn), which specifies the indices of vibration modes in the tangential (m) and radial (n) directions [36]. Damping rate parameter was found to be 1.84 in the first vibration mode in the tangential and radial directions, which accounted for the fundamental mode of the liquid [36,37]. With the help of this value, the natural frequency of the sloshing liquid can be calculated, as well as the lateral force acting on the walls of the tank, calculated according to the linearized hydrodynamic theory of sloshing [36,38].…”

Section: Design Of Tlds and Equations Of Motionmentioning

confidence: 99%

See 2 more Smart Citations

Adaptive Harmony Search for Tuned Liquid Damper Optimization under Seismic Excitation

et al. 2022

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In this study, the tuned liquid damper (TLD) device was optimized by the harmony search (HS) and adaptive harmony search algorithms (AHS). Using the harmony search algorithm, seismic excitations were directed at single and ten-story structures, and TLD parameters were optimized to minimize building movement. To improve design parameters, the optimization process was repeated by adapting the design factors of the harmony search algorithm. For this purpose, both the harmony memory consideration ratio (HMCR) and fret width (FW) were gradually reduced by providing an initial value, and optimum algorithm parameters were obtained. As a result of both optimizations, in a critical seismic analysis, the displacements of the adaptive harmony search showed smaller means and standard deviations than those of the classical harmony search.

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Section: Design Of Tlds and Equations Of Motionmentioning

confidence: 95%

Section: Design Of Tlds and Equations Of Motionmentioning

confidence: 99%

Section: Design Of Tlds and Equations Of Motionmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive Harmony Search for Tuned Liquid Damper Optimization under Seismic Excitation

et al. 2022

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“…• it can by applied to every container shape, though here we focus on cylindrical ones. Indeed, the approach proposed in [21] involves some experimental tests or a finite-element model of the container, whereas the formulations used in [19] and [20] are only valid for rectangular container. Also the methods based on machine learning algorithms shown in [22] and [23] require experimental tests or complex fluidodynamic simulations of the liquid behavior.…”

Section: Sloshing Height Computationmentioning

confidence: 99%

“…The same is true for the non-linear model presented in [20], which is described by (complex) equations that are valid only for rectangular vessels. In [21], a two-degree-of-freedom mass-spring-damper is introduced and the sloshing height is computed by solving the dynamic equations of the model: however, some experimental tests or a finite-element model of the container is necessary to obtain all parameters. Experimental or pseudo-experimental results (obtained by fluido-dynamical simulations) are also used in [22] and [23], where the liquid behaviour is predicted by a model constructed by machine-learning techniques from available data.…”

Section: Introductionmentioning

confidence: 99%

A Simple Model-Based Method for Sloshing Estimation in Liquid Transfer in Automatic Machines

Guagliumi

Berti²,

Monti³

et al. 2021

IEEE Access

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This paper studies the phenomenon of sloshing in the field of automatic machines for packaging of liquid products, with specific reference to containers with planar motions. After introducing two equivalent discrete models based on a mass-spring-damper system borrowed from the literature (one linear and one non-linear), a novel method is proposed to evaluate the sloshing height of the liquid, namely the deviation of its free surface at the wall of the container from the equilibrium condition. The merits of this method are that it is easy to use, requiring no experimental evaluation of the system parameters or computationally-expensive fluidodynamical simulations, and it gives good results also for highly dynamical motions. Moreover, though this paper focuses on cylindrical containers performing rectilinear movements, the technique therein presented can be extended to containers of arbitrary shape and generic planar motions. The method is validated by experimental tests using cylindrical containers of different dimensions and a large number of rectilinear motion laws with maximum accelerations up to 12m/s 2 . The results are compared with those that may obtained by using other methods of equal complexity available in the literature, showing the effectiveness of the proposed technique.

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Mass ratio factor in control performance of optimum tuned liquid dampers

Ocak,

Bekdaş,

Nigdeli

2023

Structural Design Tall Build

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SummaryTuned liquid dampers provide structure control with the help of the liquid mass in tanks that are attached to the structure. The mass ratio affects the optimum tuned liquid damper (TLD) parameters. This study examines the effect of mass ratio on the control performance of TLD devices in providing seismic control of structures with different damping ratios. For this purpose, TLD devices with different mass ratios were placed on two different single‐story steel and reinforced concrete structure models, and their performance under earthquake excitation was investigated. TLD parameters for obtaining the optimum displacement level in the 0.5‐ and 1.0‐s structure natural period for both structure types were optimized with the Jaya algorithm (JA), which is a metaheuristic algorithm. By using the optimum TLD parameters, the structural displacement and total acceleration values were obtained by the critical earthquake analysis. When the results are examined, it is understood that TLD mass increase from a 20% mass ratio for both structure types and selected structure periods does not have a significant effect on TLD control performance.

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Development and validation of a simple two degree of freedom model for predicting maximum fundamental sloshing mode wave height in a cylindrical tank

Cited by 15 publications

References 14 publications

Adaptive Harmony Search for Tuned Liquid Damper Optimization under Seismic Excitation

Adaptive Harmony Search for Tuned Liquid Damper Optimization under Seismic Excitation

A Simple Model-Based Method for Sloshing Estimation in Liquid Transfer in Automatic Machines

Mass ratio factor in control performance of optimum tuned liquid dampers

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