1997
DOI: 10.1002/(sici)1096-9845(199706)26:6<617::aid-eqe664>3.0.co;2-z
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A Method of Estimating the Parameters of Tuned Mass Dampers for Seismic Applications

Abstract: SUMMARYThe optimum parameters of tuned mass dampers (TMD) that result in considerable reduction in the response of structures to seismic loading are presented. The criterion used to obtain the optimum parameters is to select, for a given mass ratio, the frequency (tuning) and damping ratios that would result in equal and large modal damping in the first two modes of vibration. The parameters are used to compute the response of several single and multi-degree-of-freedom structures with TMDs to different earthqu… Show more

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Cited by 549 publications
(395 citation statements)
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“…where Φ is the amplitude of the first mode of vibration for a unit modal participation factor computed at the location of the TMD [2]. The equation for the tuning ratio is thus obtained from the equation for the 2-DOF system by replacing µ by µΦ.…”
Section: Parametric Control Of Tmdmentioning
confidence: 99%
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“…where Φ is the amplitude of the first mode of vibration for a unit modal participation factor computed at the location of the TMD [2]. The equation for the tuning ratio is thus obtained from the equation for the 2-DOF system by replacing µ by µΦ.…”
Section: Parametric Control Of Tmdmentioning
confidence: 99%
“…It should be noted that the factor Φ used in Section 2.2 to define an equivalent MDOF optimal TMD stiffness and damping may be less applicable [2] when larger mass ratios are used, as is the case here. Certainly, given Figure 5, the mode shapes are significantly disturbed from the original No TMD case.…”
Section: Modal Analysismentioning
confidence: 99%
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“…In most of the above studies, the main structure is generally represented by an equivalent single degree of freedom system. Similarly the performance of a TMD applied to a multi degree of freedom (MDOF) structure and optimized to control only a single mode of vibration (usually the fundamental one) has been investigated by various authors [24][25]. The optimal parameters of single and multiple TMDs for the control of MDOF structures have been studied by several researchers in the last decades [23,[26][27] also considering the uncertainties affecting structural parameters [28][29].…”
Section: Introductionmentioning
confidence: 99%