Frequency Analysis of the Tuned Mass Damper

By S. Krenk. 2005

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Optimisation of dynamic vibration absorbers to minimise kinetic energy and maximise internal power dissipation (2012, methodology): “4 H∞ Minimisation of relative displacement A1max = x1 xst max A2max = x1 − x2 xst max Minimisation of displacement of the main mass and relative displacement Krenk 2005 [17] ζopt = μ 2(1 + μ)”
Vibration suppression of structures using tuned mass damper technology: A state-of-the-art review (2021, background): “Krenk (2005) presented the frequency analysis of the TMD system to realize the effectiveness of the TMD system.”
The tuned mass-damper-inerter for harmonic vibrations suppression, attached mass reduction, and energy harvesting (2017, unknown): “…equipped with the classical TMD are applicable for the TMDI as well: one needs only to replace the attached TMD mass, by the sum of the attached mass and the inertance, as required in the various expressions derived for the classical TMD (e.g., Den Hartog 1956, Krenk 2005, Salvi and Rizzi 2016).”
Research developments in vibration control of structures using passive tuned mass dampers (2017, methodology): “A frequency analysis of the TMD system as studied by Krenk (2005) , wherein it was demonstrated that he classic frequency tuning leads to equal damping ratio of the wo vibration modes of the combined system.”