Analysis of the efficiency of a combined tuned damper with uncertainty in the parameters subject to a high frequency content seismic excitation
DOI:
https://doi.org/10.4067/S0718-28132020000200058Keywords:
TCD, TMD, TLCD, Parameter uncertainty, Stochastic analysisAbstract
This research studies the behavior of the optimal parameters and the efficiency of the Tuned Combined Damper (TCD) in the control of a structure subjected to seismic excitation, when uncertainty is incorporated in the mass ratio and the length ratio. The TCD is a device made up of a tuned liquid column damper (TLCD), and a tuned mass damper (TMD). Seismic excitation is modeled as a stationary type zeromean Gaussian stochastic process. It is considered a seismic excitation with a high frequency content. The equivalent statistical linearization method is used to linearize the nonlinear equation associated with the tuned fluid damper. The sensitivity of the optimal parameters, the tuning ratio and the head loss coefficient of the TLCD, and the tuning and damping ratio of the AMS are analyzed by including an uncertainty in the mass ratio and the length ratio. Reduction of displacement of the main structure is used as optimization criterion. The TCD efficiency and root mean square RMS of the main system displacement are obtained. The results show that the most sensitive parameter is the head loss coefficient, when faced with an uncertainty in the length ratio. It is concluded that the efficiency of the TCD and RMS of displacement of the main structure is insensitive to an uncertainty of less than 10%, both of the mass ratio and the length ratio.
References
Almazán, J.L., Espinoza, G. and Aguirre, J.J. (2012). Torsional balance of asymmetric structures by means of tuned mass dampers. Engineering Structures 42, 308-328.
Clough, R.W. and Penzien, J. (1975). Dynamics of structures. McGraw-Hill, USA.
Debbarma, R., Chakraborty, S. and Ghosh, S. (2010). Unconditional reliability-based design of tuned liquid column dampers under stochastic earthquake load considering system parameters uncertainties. Journal of Earthquake Engineering 14(7), 970-988.
Den Hartog, J.P. (1956). Mechanical vibrations. Fourth ed. Dover Civil and Mechanical Engineering, USA.
Di Matteo, A., Lo Iacono, F.L., Navarra, G. and Pirrotta, A. (2015). Innovative modeling of tuned liquid column damper motion. Communications in Nonlinear Science and Numerical Simulation 23(1-3), 229-244.
Di Matteo, A., Pirrotta, A. and Tumminelli, S. (2017). Combining TMD and TLCD: analytical and experimental studies. Journal of Wind Engineering and Industrial Aerodynamics 167, 101-113.
Espinoza, G. Rivas, S. y Suazo, A. (2020). Análisis de la eficiencia de un amortiguador combinado sintonizado con incertidumbre en los parámetros sometido a excitaciones sísmicas de bajo contenido de frecuencias. Obras y Proyectos 28, 68-77.
Espinoza, G., Almazán, J.L., Benedetti, F. and Jara, C. (2019). Torsional balance of nonlinear asymmetrical structures by means of a tuned mass damper. Structural Control and Health Monitoring 26(11), 24-42.
Espinoza, G., Neira, D. y Cifuentes, A. (2018a). Análisis de un amortiguador de masa sintonizado óptimo en estructuras asimétricas no lineales. Obras y Proyectos 23, 39-54.
Espinoza, G., Carrillo C. and Suazo, A. (2018b). Analysis of a tuned liquid column damper in non-linear structures subjected to seismic excitations. Latin American Journal of Solids and Structures 15(7), e91.
Frahm, H. (1909). Device for damping vibrations of bodies. US patent 989,958.
NCh2745 (2013). Análisis y diseño de edificios con aislación sísmica. Instituto Nacional de Normalización, Santiago, Chile.
Saitua, F., Lopez-Garcia, D. and Taflanidis, A.A. (2018). Optimization of height-wise damper distributions considering practical design issues. Engineering Structures 173, 768-786.
Sakai, F. (1989). Tuned liquid column damper-new type device for suppression of building vibration. First International Conference on High-Rise Buildings, Nanjing, China, 926-931.
Singh, M.P., Singh, S. and Moreschi, L.M. (2002). Tuned mass dampers for response control of torsional buildings. Earthquake Engineering and Structural Dynamics 31(4), 749-769.
Wang, L., Zhao, X. and Zheng, Y.M. (2016). A combined tuned damper and an optimal design method for wind-induced vibration control for super tall buildings. The Structural Design of Tall and Special Buildings 25, 468-502.
Yalla, S.K. and Kareem, A. (2000). Optimum absorber parameters for tuned liquid column dampers. Journal of Structural Engineering 126(8), 906–915.
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