Use of Tuned Mass Dampers in Controlling the Vibrations of Steel Structures with Vertical Irregularity of Mass

Document Type : Original Article


Department of Civil Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran


One of the common methods of the inactively controlling structures subject to earthquakes is the use of Tuned Mass Damping (TMD) systems. These dampers consist of three major parameters, namely mass, damping and stiffness. TMDs generally reduce the response domain by influencing a mode, which is most often the first mode of the structure. Since the TMD parameters remain constant during vibrations, it is very important to tune them correctly and optimally. In this study, a ten-story structural model with mass irregularities has been investigated. The mass ratio for the mass damper is assumed to be at 2%. Considering a nonlinear structure, to tune the frequency of the mass damper to its optimum value, proposed experimental relationships have been used.
Both regular and irregular structures have been subjected to seven near-field and far-field earthquakes and amplified dynamic analysis from 0.1g to 1.0g with 0.1g steps and mass dampers has been used to evaluate the structural behavior. Based on the analyses outcomes, it can be seen that the TMD in structures with mass irregularities shows a better performance in the first 5 floors compared to the absence of dampers. In addition, by creating mass irregularities in the floor levels, the structure becomes more prone to damages in near-field earthquakes and the performance of the TMDs is better in earthquakes of far-field nature.


Google Scholar


Main Subjects

[1]     Frahm, H., Device for damping vibrations of bodies. 1911, Patent.
[2]     Wirsching, P.H. and J.T. Yao, Safety design concepts for seismic structures. Computers & structures, 1973. 3(4): p. 809-826.
[3]     Mashkat Razavi, H., Intelligent algorithms in structural control with tuned mass dampers considering soil-structure interaction. 2016, PhD Dissertation, University of Mashhad, December, 2014 (In Persian). Modares Civil Engineering Journal (MCEJ) Vol. 16.
[4]     Dong, R.G., Vibration-absorber effect under seismic excitation. Journal of the Structural Division, 1976. 102(10): p. 2021-2031.
[5]     Ohno, S., Optimum tuning of the dynamic damper to control response of structures to earthquake ground motion. Proc. 6WCEE, 1977, 1977.
[6]     Randall, S., D. Halsted, and D. Taylor, Optimum vibration absorbers for linear damped systems. Journal of Mechanical Design, 1981. 103(4): p. 908-913.
[7]     Pirizadeh, M. and H. Shakib, Probabilistic seismic performance evaluation of non-geometric vertically irregular steel buildings. Journal of Constructional Steel Research, 2013. 82: p. 88-98.
[8]     Sanaei, E. and M. Babaei, Topology optimization of structures using cellular automata with constant strain triangles. International Journal of Civil Engineering, 2012. 10(3): p. 179-188.
[9]     Babaei, M., J. Dadash Amiri, F. Omidi, A. Memarian, Optimal Topologies for Steel Frames with Ordinary Chevron and X-Braces: The Effect on Total Structural Cost. The Open Civil Engineering Journal, 2016. 10(1).
[10]   Babaei, M., Multi-objective Optimal Number and Location for Steel Outrigger-belt Truss System. Journal of Engineering Science and Technology, 2017. 12(10): p. 2599-2612.
[11]   Babaei, M. and E. Sanaei, Multi-objective optimal design of braced frames using hybrid genetic and ant colony optimization. Frontiers of Structural and Civil Engineering, 2016. 10(4): p. 472-480.
[12]   Building and Housing Research Center, Standard No. 2800 “Iranian Code of Practice for Seismic Resistant Design of Buildings”, Third Revision, Building and Housing Research Center, Tehran. 2005.
[13]   Code, I.N.B., Part 6: Applied loads on buildings. 2013, Iranian National Building Code, Tehran, Iran.
[14]   Krawinkler, H., Shear in beam-column joints in seismic design of steel frames. Engineering Journal, 1978. 15(3).
[15]   Pastia, C. and S.-G. Luca, Vibration control of a frame structure using semi-active tuned mass damper. Buletinul Institutului Politehnic din lasi. Sectia Constructii, Arhitectura, 2013. 59(4): p. 31.
[16]      Federal Emergency Management Agency, National Earthquake Hazards Reduction Program (NEHRP) recommended provisions for seismic regulations for new buildings and other structures. 2001, Building Seismic Safety Council, United States.