Abstract
A number of studies are reported in the literature on tuned mass damper (TMD) designed as per the optimum tuning frequency and optimum damping ratio. Many of the closed-form equations proposed in the literature for optimum tuning frequency and optimum damping ratio are applicable for single-degree-of-freedom systems. Equation proposed in the literature for optimum damping ratio for multi-degree-of-freedom system results in a higher value of optimum damping ratio. In the present study, optimum tuning frequency and optimum damping ratios of shear-type multi-storey buildings are obtained by combining numerical time history analysis with optimization using minimax optimization function. Closed-form equations are fitted with one thousand eight hundred and ninety optimization results for three multi-storey buildings with nine ground motions for ten mass ratios and seven damping ratios. Equations proposed are applied for a number of single-degree-of-freedom and multi-degree-of-freedom systems, and it is observed that optimum parameters obtained through the equations proposed in the present study result in optimum response reduction with economical damping ratio. Further, applicability of the closed-form equation for site-specific earthquake including the depth of soil stratum is investigated and observed that equations proposed in the present study are able to predict more appropriate values of optimum tuning frequency and optimum damping ratio which can help in the design of TMD with economical damping ratio.
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Kamatchi, P., Balaji Rao, K. & Sathish Kumar, K. Closed-Form Equations for Optimum Tuning Frequency and Damping Ratio of Tuned Mass Damper and Applicability for Site-Specific Earthquakes. J. Inst. Eng. India Ser. A 101, 19–26 (2020). https://doi.org/10.1007/s40030-019-00417-4
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DOI: https://doi.org/10.1007/s40030-019-00417-4