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Earthquakes and Structures
  Volume 19, Number 4, October 2020 , pages 243-259

A new study in designing MTMDs in SDOF and MDOF systems based on the spectral analysis method
Morteza Baigoly, Farzan H. Shargh and Fayaz R. Rofooei

    This study aims to optimize, design, and predict the MTMDs performance in SDOF systems using spectral analysis, and then apply their results to MDOF structures. Given the importance of spectral analysis in the design of new engineering structures, achieving a method for designing TMDs based on this theory can be of great importance for structural designers. In this study, several convenient combinations of MTMDs in an SDOF system are first considered to minimize the maximum displacement. For calculating the frequency ratios of dampers, an innovative technique is adopted in which the values of different modal responses obtained from the spectral analysis are approached together. This procedure is done using a harmony search (HS) algorithm. Also, using the random vibration theory, the damping ratio of the dampers is obtained. Then, an equation is presented for predicting the performance of MTMDs. For evaluating this equation, three structures with different stories are designed. Some of the presented combinations of dampers are added to them. The time history analyses are employed to analyze the structures under 30 different accelerograms. The findings indicated that the proposed equation could efficiently predict the performance of the MTMDs. Furthermore, four different patterns of damper distribution along the height of the structures are defined. The effect of them on the maximum deformation of the structures in time history analyses is discussed, and an equation is presented to estimate this effect. The results indicated that the average and maximum error percentages of the proposed equations are about three and seven percent, respectively, compared to the time history analyses results, which are negligible values.
Key Words
    Multiple Tuned Mass Dampers (MTMDs); Harmony Search (HS) algorithm; random vibration; spectral analysis; Multi-Degree-Of-Freedom (MDOF) structure
Morteza Baigoly, Farzan H. Shargh :Department of College of Civil Engineering, West Tehran Branch, Islamic Azad University, Tehran, Iran
Fayaz R. Rofooei:Department of Civil Engineering, Sharif University of Technology, Tehran, Iran

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