Abstract

Citation

Researchers should cite this work as follows:

• Keith Landry, Winkel, B. (2022). 5-040-TunedMassDampers-PartII-ModelingScenario. SIMIODE, QUBES Educational Resources. doi:10.25334/0B0A-QD10

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Article Context

Description

We add another, smaller spring-mass-dashpot system whose frequency is tuned to reduce the overall oscillation of the original structure and consider the effects of this two degree of freedom model. We foster analysis of the steady state solution and ask how a TMD responds to a range of driver frequencies, still working in the ideal model in which there is no resistance or damper term in either the original structure's spring model or in the TMD. Then we study the more realistic situation in which both the original mass and the damper mass experience resistance or damping.

We attach a spring and damper (TMD) to the original mass and explore how much this TMD can reduce vibrations due to external forces. Displacement of the mass will be measured by distance from an initial equilibrium position with a single degree-of-freedom. Displacement of the TMD mass will be measured by distance from an initial equilibrium position with a second degree-of-freedom about its own initial equilibrium position.