Next Article in Journal
Finite Element Analysis of Coffea arabica L. var. Colombia Fruits for Selective Detachment Using Forced Vibrations
Previous Article in Journal
Time-Domain Based Quantification of Surface Degradation for Better Monitoring of the Health Condition of Ball Bearings
Article Menu

Export Article

Open AccessArticle
Vibration 2018, 1(1), 192-206; https://doi.org/10.3390/vibration1010014

Effective Mass of Tuned Mass Dampers

Svend Ole Hansen ApS, Sankt Jørgens Allé 5C, 1615 Copenhagen V, Denmark
*
Author to whom correspondence should be addressed.
Received: 30 July 2018 / Revised: 11 September 2018 / Accepted: 13 September 2018 / Published: 15 September 2018
Full-Text   |   PDF [420 KB, uploaded 18 September 2018]   |  

Abstract

Tuned Mass Dampers (TMDs) are widely used for the control and mitigation of vibrations in engineering structures, including buildings, towers, bridges and wind turbines. The traditional representation of a TMD is a point mass connected to the structure by a spring and a dashpot. However, many TMDs differ from this model by having multiple mass components with motions of different magnitudes and directions. We say that such TMDs have added mass. Added mass is rarely introduced intentionally, but often arises as a by-product of the TMD suspension system or the damping mechanism. Examples include tuned pendulum dampers, tuned liquid dampers and other composite mechanical systems. In this paper, we show how a TMD with added mass can be analyzed using traditional methods for simple TMDs by introducing equivalent simple TMD parameters, including the effective TMD mass, the mass of the equivalent simple TMD. The presence of added mass always reduces the effective TMD mass. This effect is explained as a consequence of smaller internal motions of the TMD due to the increased inertia associated with the added mass. The effective TMD mass must be correctly calculated in order to predict the TMD efficiency and in order to properly tune the TMD. The developed framework is easy to apply to any given general linear TMD system with a known motion. Here, we demonstrate the approach for a number of well-known examples, including tuned liquid dampers, which are shown to use only a small fraction of the total liquid mass effectively. View Full-Text
Keywords: tuned mass damper; dynamic vibration absorber; effective mass; vibration control; tuned liquid damper; TMD; TLD; TLCD; sloshing damper; inerter tuned mass damper; dynamic vibration absorber; effective mass; vibration control; tuned liquid damper; TMD; TLD; TLCD; sloshing damper; inerter
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Tophøj, L.; Grathwol, N.; Hansen, S.O. Effective Mass of Tuned Mass Dampers. Vibration 2018, 1, 192-206.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Vibration EISSN 2571-631X Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top