**6. Conclusions**

Seismic response mitigation of base-isolated (BI) building installed with a single tuned mass damper (STMD), multiple TMDs (MTMDs), and distributed MTMDs (d-MTMDs) are investigated. Numerical analysis of two BI buildings equipped with TMDs is performed using analytical models of 5- and 10-storey buildings. Results were analyzed to investigate effectiveness of different TMD schemes in reducing displacement and acceleration demand of the BI structure. Such effectiveness was investigated in terms of percentage reduction in response as a function of ground motion frequency content, probability distribution functions of response parameters, and fragility curves corresponding to failure of the isolation device due to excessive displacement. The following conclusions can be made from the results of the analyses.


effective period of vibration of a structure for a well-established target displacement obtained from appropriate hazard analysis might provide additional benefits.

**Author Contributions:** All authors discussed and agreed upon the idea, and made scientific contributions. M.H.S. coded the MATLAB program and wrote initial draft of the paper. S.E. and R.R. improved and revised the initial paper. All authors have read and agreed to the published version of the manuscript.

**Funding:** It was part of the employment activity no extra funds were given to this study.

**Acknowledgments:** Authors acknowledge the efforts of reviewers and editors for improving the quality of the paper. First author acknowledges the department of Civil and Environmental Engineering, Old Dominion University, for allowing him to use the work stations and space. Second and third authors acknowledge support from the University of Iceland Research Fund.

**Conflicts of Interest:** The authors declare no conflict of interest.
