Equivalent additional damping ratio of TMD under random earthquake

HE Hui1,2, TAN Ping1,2, LIN Songwei3, XIANG Yue1,2, LAN Li1,2

Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (1) : 107-115.

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PDF(2569 KB)
Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (1) : 107-115.

Equivalent additional damping ratio of TMD under random earthquake

  • HE Hui1,2, TAN Ping1,2, LIN Songwei3, XIANG Yue1,2, LAN Li1,2
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Abstract

The effective supplemental damping ratio of TMD added to structure under the random seismic ground motion excitations was researched in this paper. Firstly, the Kanai-Tajimi power spectral density function of ground acceleration was described as the filtering effect of the site, which was expressed in transfer function form, and the displacement dynamic amplification factor of structure to bedrock was then derived. Combined with the SRSS methodology, the analytical expression of the effective supplemental damping ratio of TMD added to the each modal of structure was given using mean square value of structural displacement response as a criterion. Finally, the solving procedure of the effective supplemental damping ratio of TMD was demonstrated by a view tower, and the analysis results shown that it was reasonable to use effective supplemental damping ratio to evaluate TMD damping performance, furthermore, the control effect of structural displacement could be evaluated precisely by the proposed analytical expression of the effective supplemental damping ratio of TMD.

Key words

random seismic ground motion; Kanai-Tajimi power spectral density / TMD;effective supplemental damping ratio;

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HE Hui1,2, TAN Ping1,2, LIN Songwei3, XIANG Yue1,2, LAN Li1,2. Equivalent additional damping ratio of TMD under random earthquake[J]. Journal of Vibration and Shock, 2022, 41(1): 107-115

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