A short note on equal peak design for the pendulum tuned mass dampers

A. Deraemaeker, P. Soltani

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)285-291
Number of pages7
JournalProceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics
Volume231
Issue number1
Early online date31 May 2016
DOIs
Publication statusPublished - 1 Mar 2017
Externally publishedYes

Fingerprint

dampers
pendulums
Pendulums
vibration
mass ratios
Damping
damping
optimization
Optimum design

Keywords

  • Equal-peaks method
  • Optimum tuning rule
  • Pendulum tuned mass dampers

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering

Cite this

@article{a2db8203d4bd4f35b4dadfdcf0e0f4d4,
title = "A short note on equal peak design for the pendulum tuned mass dampers",
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.",
keywords = "Equal-peaks method, Optimum tuning rule, Pendulum tuned mass dampers",
author = "A. Deraemaeker and P. Soltani",
year = "2017",
month = "3",
day = "1",
doi = "10.1177/1464419316652558",
language = "English",
volume = "231",
pages = "285--291",
journal = "Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics",
issn = "1464-4193",
publisher = "SAGE Publications",
number = "1",

}

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 -