Research Articles | Challenge Journal of Structural Mechanics

Robustness evaluation of optimum tuned liquid dampers for uncertain variable loading of structures

Ayla Ocak, Gebrail Bekdaş, Sinan Melih Nigdeli

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This study focuses on the performance analysis of optimum tuned liquid dampers (TLDs) under the different live loads of three different structure models, designed as both single and multi-story, under earthquake excitations. For this purpose, single, ten, and forty story structure models have been created and tuned liquid damping devices that contain liquids of different densities and viscosities such as acetone, mercury, and seawater are placed on the structure. For the analysis conducted under earthquake excitations, optimum damping device parameters were previously obtained with the Adaptive Harmony Search Algorithm (AHS), and minimizing the movement of the structure was aimed. The effect of the damping device on the control performance was investigated under increasing and decreasing live loads for the uncertain mass of the structure because of variable actions. When the results are examined, it has been determined that the increase in the story number of the structure will less affect the displacement reduction performance of TLDs for the structure under uncertain variable loading.


tuned liquid damper; structural control; optimization; adaptive harmony search

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Abramson HN (1966). The dynamic behavior of liquids in moving containers. NASA Special Publication, SP-106.

Bauer HF (1964). Tables and graphs of zeros of cross-product Bessel functions. Mathematics of Computation, 18(85), 128.

Debbarma R, Chakraborty S, Ghosh SK (2010). Optimum design of tuned liquid column dampers under stochastic earthquake load considering uncertain bounded system parameters. International journal of mechanical sciences, 52(10), 1385-1393.

FEMA P-695 (2009). Quantification of Structure Seismic Performance Factors. Washington.

Gao H, Kwok KCS, Samali B (1997). Optimization of tuned liquid column dampers. Engineering Structures, 19(6), 476-486.

Hitchcock PA, Kwok KCS, Watkins RD, Samali B (1997). Characteristics of liquid column vibration absorbers (LCVA)‒I. Engineering Structures, 19(2), 126-134.

Liu, M. Y., Chiang, W. L., Hwang, J. H., & Chu, C. R. (2008). Wind-induced vibration of a high-rise building with tuned mass damper including soil-structure interaction. Journal of Wind Engineering and Industrial Aerodynamics, 96(6-7), 1092-1102.

Matlab R2018a (2018). The MathWorks, Natick, MA.

Mehrkian B, Altay O (2020). Mathematical modeling and optimization scheme for omnidirectional tuned liquid column dampers. Journal of Sound and Vibration, 484, 115523.

Ocak A, Bekdaş G, Nigdeli SM, Kim S, Geem ZW (2022). Optimization of tuned liquid damper including different liquids for lateral displacement control of single and multi-story structures. Buildings, 12(3), 377.

Rana R and Soong TT (1998). Parametric study and simplified design of tuned mass dampers. Engineering Sructures, 20(3), 193-204.

Rouf AI (2005). Liquid Sloshing Dynamics: Theory and Applications, Cambridge University Press, ISBN: 0-521-83885-1.

Setareh M, Ritchey JK, Baxter AJ, Murray TM (2006). Pendulum-tuned mass dampers for floor vibration control. Journal of Performance of Constructed Facilities, 20(1), 64-73.

Shaban N, Caner A, Yakut A, Askan A, Karimzadeh Naghshineh A, Domanic A, Can G (2015). Vehicle effects on seismic response of a simple‐span bridge during shake tests. Earthquake Engineering & Structural Dynamics, 44(6), 889-905.

Shah MU, Usman M, Farooq SH, Kim IH (2022). Effect of tuned spring on vibration control performance of modified liquid column ball damper. Applied Sciences, 12(1), 318.

Sharma V, Arun CO, Krishna IP (2019). Development and validation of a simple two degree of freedom model for predicting maximum fundamental sloshing mode wave height in a cylindrical tank. Journal of Sound and Vibration, 461, 114906.

Shum KM (2009). Closed-form optimal solution of a tuned liquid column damper for suppressing harmonic vibration of structures. Engineering Structures, 31(1), 84-92.

Singh MP, Singh S, Moreschi LM (2002). Tuned mass dampers for response control of torsional buildings. Earthquake Engineering & Structural Dynamics, 31(4), 749-769.

Sun LM, Fujino Y, Pacheco BM, Chaiseri P (1992). Modeling of tuned liquid damper (TLD). Journal of Wind Engineering and Industrial Aerodynamics, 43(1-3), 1883-1894.

Taflanidis AA, Angelides DC, Manos GC (2005). Optimal design and performance of liquid column mass dampers for rotational vibration control of structures under white noise excitation. Engineering Structures, 27(4), 524-534.

Tanveer M, Usman M, Khan IU, Farooq SH, Hanif A (2020). Material optimization of tuned liquid column ball damper (TLCBD) for the vibration control of multi-story structures using various liquid and ball densities. Journal of Structure Engineering, 32, 101742.

Venanzi I, Materazzi AL (2013). Robust optimization of a hybrid control system for wind-exposed tall buildings with uncertain mass distribution. Smart Structures and Systems, 12(6), 641-659.

Vickery BJ, Isyumov N, Davenport AG (1983). The role of damping, mass, and acceleration Journal of Wind Engineering and Industrial Aerodynamics, 11(1-3), 285-294.

Wibowo H, Sanford DM, Buckle IG, Sanders DH (2014). Preliminary parametric study of the effects of live load on seismic response of highway bridges. In Proceedings of the 10th US National Conference on Earthquake Engineering. Earthquake Engineering Research Institute.

Xing C, Wang H, Li A, Xu Y (2014). Study on wind-induced vibration control of a long-span cable-stayed bridge using TMD-type counterweight. Journal of Bridge Engineering, 19(1), 141-148.

Xue SD, Ko JM, Xu YL (2000). Optimum parameters of tuned liquid column damper for suppressing pitching vibration of an undamped structure. Journal of Sound and Vibration, 235(4), 639-653.

Yu JK, Wakahara T, Reed DA (1999). A non-linear numerical model of the tuned liquid damper. Earthquake Engineering & Structural Dynamics, 28(6), 671-686.


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