Design and Evaluation of Tuned Inerter-Based Dampers for the Seismic Control of MDOF Structures
Publication: Journal of Structural Engineering
Volume 143, Issue 4
Abstract
The tuned viscous mass damper (TVMD) and tuned inerter damper (TID) are tuned inerter-based dampers (TIBDs) that can utilize amplified apparent mass and tuning effects. This study investigated the use of multiple TIBDs to mitigate the seismic responses of multi-degree-of-freedom (MDOF) structures. The locations and modes for tuning the TIBDs were analyzed by defining a placement index based on the norm. The parameters of TVMDs and TIDs distributed throughout the structure and tuned to multiple modes were optimized by minimizing the performance of the objective responses. The equivalent stiffness and damping of the TVMD and TID were considered to demonstrate TIBD control mechanisms, such as significant additional damping at the resonance frequency. As examples, 3-story and 10-story buildings were subjected to earthquakes with different spectra characteristics to validate the effectiveness of TIBD schemes. The results showed that distributed TIBDs tuned to properly selected modes significantly reduce the root-mean-square (RMS) responses of displacement and acceleration and perform superior than the viscous dampers and viscous mass dampers in reducing the peak displacement.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors acknowledge the financial support provided by the National Natural Science Foundation of China (Grant No. 51578048), the Major Research Project of the National Natural Science Foundation of China (Grant No. 91215302), and the Fundamental Research Funds for the Central Universities (Grant No. 2016JBM047).
References
Agrawal, A. K., and Yang, J. N. (1999). “Design of passive energy dissipation systems based on LQR control methods.” J. Intell. Mater. Syst. Struct., 10(12), 933–944.
Arakaki, T., Kuroda, H., Arima, F., Inoue, Y., and Baba, K. (1999). “Development of seismic devices applied to ball screw. Part 1: Basic performance test of RD-series.” AIJ J. Technol. Des., (8), 239–244 (in Japanese).
Chang, K. C., Soong, T. T., Oh, S. T., and Lai, M. L. (1995). “Seismic behavior of steel frame with added viscoelastic dampers.” J. Struct. Eng., 1418–1426.
Den Hartog, J. P. (1956). Mechanical vibrations, 4th Ed., McGraw Hill, New York.
Fu, Y., and Kasai, K. (1998). “Comparative study of frames using viscoelastic and viscous dampers.” J. Struct. Eng., 513–522.
Gawronski, W. (1997). “Actuator and sensor placement for structural testing and control.” J. Sound Vibr., 208(1), 101–109.
Gluck, N., Reinhorn, A. M., Gluck, J., and Levy, R. (1996). “Design of supplemental dampers for control of structures.” J. Struct. Eng., 1394–1399.
Høgsberg, J., Brodersen, M. L., and Krenk, S. (2016). “Resonant passive-active vibration absorber with integrated force feedback control.” Smart Mater. Struct., 25(4), 047001.
Hu, Y. L., Chen, M. Z. Q., Shu, Z., and Huang, L. X. (2015). “Analysis and optimisation for inerter-based isolators via fixed-point theory and algebraic solution.” J. Sound Vibr., 346, 17–36.
Hwang, J. S., Kim, J., and Kim, Y. M. (2007). “Rotational inertia dampers with toggle bracing for vibration control of a building structure.” Eng. Struct., 29(6), 1201–1208.
Ikago, K., and Inoue, N. (2013). “Seismic control of buildings using apparent mass dampers with rotational amplifying mechanisms: A review of the state of the art.” Proc., 13th World Conf. on Seismic Isolation, Energy Dissipation and Active Vibration Control of Structures- Commemorating, JSSI 20th Anniversary, Sendai, Japan.
Ikago, K., Saito, K., and Inoue, N. (2011). “Optimum multi-modal seismic control design of high-rise buildings using tuned viscous mass dampers.” Proc., 13th Int. Conf. on Civil, Structural and Environmental Engineering Computing, Civil-Comp Press, Stirlingshire, Scotland.
Ikago, K., Saito, K., and Inoue, N. (2012). “Seismic control of single-degree-of-freedom structure using tuned viscous mass damper.” Earthquake Eng. Struct. Dyn., 41(3), 453–474.
Krenk, S., and Høgsberg, J. (2016). “Tuned resonant mass or inerter-based absorbers: Unified calibration with quasi-dynamic flexibility and inertia correction.” Proc. R. Soc. A: Math. Phys. Eng. Sci., 472(2185), .
Lazar, I. F., Neild, S. A., and Wagg, D. J. (2014). “Using an inerter-based device for structural vibration suppression.” Earthquake Eng. Struct. Dyn., 43(8), 1129–1147.
Li, D. H., and Fukushima, M. (2001). “A modified BFGS method and its global convergence in nonconvex minimization.” J. Comput. Appl. Math., 129(1), 15–35.
Nakamura, Y., et al. (2014). “Seismic response control using electromagnetic inertial mass dampers.” Earthquake Eng. Struct. Dyn., 43(4), 507–527.
Smith, M. C. (2002). “Synthesis of mechanical networks: The inerter.” IEEE Trans. Autom. Contr., 47(10), 1648–1662.
Soong, T. T., and Dargush, G. F. (1997). Passive energy dissipation systems in structural engineering, Wiley, Chichester, U.K.
Spencer, B. F. Jr., and Nagarajaiah, S. (2003). “State of the art of structural control.” J. Struct. Eng., 845–856.
Watanabe, Y., Ikago, K., Inoue, N., Kida, H., Nakaminami, S., Tanaka, H., Sugimura, Y., and Saito, K. (2012). “Full-scale dynamic tests and analytical verification of a force-restricted tuned viscous mass damper.” Proc., 15th World Conf. on Earthquake Engineering, Lisbon, Portugal.
Yang, J. N., Lin, S., Kim, J. H., and Agrawal, A. K. (2002). “Optimal design of passive energy dissipation systems based on and performances.” Earthquake Eng. Struct. Dyn., 31(4), 921–936.
Zhou, K., Doyle, J. C., and Glover, K. (1996). Robust and optimal control, Prentice Hall, Englewood Cliffs, NJ.
Zuo, L., and Nayfeh, S. A. (2005). “Optimization of the individual stiffness and damping parameters in multiple-tuned mass damper systems.” J. Vibr. Acoust., 127(1), 77–84.
Zuo, L., and Nayfeh, S. A. (2006). “The two-degree-of-freedom tuned-mass damper for suppression of single-mode vibration under random and harmonic excitation.” J. Vibr. Acoust., 128(1), 56–65.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 143 • Issue 4 • April 2017
Copyright
©2016 American Society of Civil Engineers.
History
Received: Nov 3, 2015
Accepted: Aug 17, 2016
Published online: Nov 4, 2016
Published in print: Apr 1, 2017
Discussion open until: Apr 4, 2017
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.