2019
DOI: 10.1002/stc.2324
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Tuned mass damper on a damped structure

Abstract: Summary The classic design of the tuned mass damper on an undamped structure is based on the “fixed‐point” theory introduced by Den Hartog. Because of the lack of fixed points in the dynamic amplification of damped structures, a generalization of previous methods is presented in this study to identify the optimal parameters of the damper. The optimal frequency is identified by analyzing complex natural frequencies. The resulting frequency leads to a confluence point in the complex frequency locus and an equal … Show more

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Cited by 27 publications
(27 citation statements)
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“…For understanding the characteristics of TMDs and applying them effectively, they have been extensively studied from the 20th century 1 up to the present. [2][3][4][5] Previous studies have investigated the use of TMDs for controlling the response of buildings and civil structures to earthquakes. [6][7][8][9][10][11] The effectiveness of TMDs for reinforced concrete and steel high-rise buildings considering soil-structure interaction has been analyzed.…”
Section: Introductionmentioning
confidence: 99%
“…For understanding the characteristics of TMDs and applying them effectively, they have been extensively studied from the 20th century 1 up to the present. [2][3][4][5] Previous studies have investigated the use of TMDs for controlling the response of buildings and civil structures to earthquakes. [6][7][8][9][10][11] The effectiveness of TMDs for reinforced concrete and steel high-rise buildings considering soil-structure interaction has been analyzed.…”
Section: Introductionmentioning
confidence: 99%
“…A classical passive vibration device is a tuned vibration absorber (TVA) proposed by Frahm [5]. TVA has been widely proved to be simple and efficient to mitigate unwanted vibrations [6,7]. However, it can only be effective in a narrow frequency range.…”
Section: Introductionmentioning
confidence: 99%
“…Since the WTT with the PS‐TMD device is represented by a two degree‐of‐freedom system, there are two branch resonance points with the peak values on the dynamic coefficient curve. And they are intersection of the dynamic coefficient curves under different damping coefficients 23,24 . The frequency ratio of these two branch resonance points can be obtained as (the detailed derivation is shown in Appendix B) {β2normalMgoodbreak=2+2μ22γ2+()γ2goodbreak+2μ22goodbreak−22+8μ22α24β2normalNgoodbreak=2+2μ22γ2()γ2goodbreak+2μ22goodbreak−22+8μ22α24 where subscript M and N represents the first and second branch resonance point, respectively.…”
Section: Analytical Model Of a Wtt With Ps‐tmdmentioning
confidence: 99%