Abstract
Pendulum tuned mass dampers (PTMDs) are used to passively mitigate the vibrations of tall structures and buildings. The main objective of this short note is to introduce analytical formulae for the optimum design of the linear PTMD coupled to an undamped primary system. Den Hartog's equal peak method is applied to derive the optimum design. With the mass ratio between the primary system and the PTMD, the optimum length and optimum damping of the pendulum are calculated. The formulae are presented in both dimensional and non-dimensional forms and are simple to apply in real applications. It is also shown that the vibration mitigation performance of the proposed optimum design precisely matches the results obtained by numerical optimisation techniques.
| Original language | English |
|---|---|
| Pages (from-to) | 285-291 |
| Number of pages | 7 |
| Journal | Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics |
| Volume | 231 |
| Issue number | 1 |
| Early online date | 31 May 2016 |
| DOIs | |
| Publication status | Published - 1 Mar 2017 |
| Externally published | Yes |
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Keywords
- Equal-peaks method
- Optimum tuning rule
- Pendulum tuned mass dampers
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanical Engineering
Cite this
A short note on equal peak design for the pendulum tuned mass dampers. / Deraemaeker, A.; Soltani, P.
In: Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, Vol. 231, No. 1, 01.03.2017, p. 285-291.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A short note on equal peak design for the pendulum tuned mass dampers
AU - Deraemaeker, A.
AU - Soltani, P.
PY - 2017/3/1
Y1 - 2017/3/1
N2 - Pendulum tuned mass dampers (PTMDs) are used to passively mitigate the vibrations of tall structures and buildings. The main objective of this short note is to introduce analytical formulae for the optimum design of the linear PTMD coupled to an undamped primary system. Den Hartog's equal peak method is applied to derive the optimum design. With the mass ratio between the primary system and the PTMD, the optimum length and optimum damping of the pendulum are calculated. The formulae are presented in both dimensional and non-dimensional forms and are simple to apply in real applications. It is also shown that the vibration mitigation performance of the proposed optimum design precisely matches the results obtained by numerical optimisation techniques.
AB - Pendulum tuned mass dampers (PTMDs) are used to passively mitigate the vibrations of tall structures and buildings. The main objective of this short note is to introduce analytical formulae for the optimum design of the linear PTMD coupled to an undamped primary system. Den Hartog's equal peak method is applied to derive the optimum design. With the mass ratio between the primary system and the PTMD, the optimum length and optimum damping of the pendulum are calculated. The formulae are presented in both dimensional and non-dimensional forms and are simple to apply in real applications. It is also shown that the vibration mitigation performance of the proposed optimum design precisely matches the results obtained by numerical optimisation techniques.
KW - Equal-peaks method
KW - Optimum tuning rule
KW - Pendulum tuned mass dampers
UR - http://www.scopus.com/inward/record.url?scp=85018720574&partnerID=8YFLogxK
U2 - 10.1177/1464419316652558
DO - 10.1177/1464419316652558
M3 - Article
VL - 231
SP - 285
EP - 291
JO - Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics
JF - Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics
SN - 1464-4193
IS - 1
ER -