A reduced eigenvalue method for broadband analysis of a structure with vibration absorbers possessing rotatory inertia

M. D. Grissom, A. D. Belegundu, G. H. Koopmann

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Multi-tuned vibration absorbers are attractive in reducing vibration and noise over a broadband. Here, an efficient and robust dynamic reanalysis algorithm is presented for predicting the dynamic response of a base structure to which are attached multiple absorbers. The 'reduced eigenvalue method' uses the modal analysis results of the base structure without absorbers, computed just once, to obtain the response of the modified structure. The method presented has two salient features. One is that the resonances of the modified structure are provided, and can be summed directly to estimate broadband measures of the dynamic response. The other is that rotatory inertia of the absorbers is properly captured, which has been found from experiment to be significant when an absorber is attached to a point on the base structure undergoing rotation. The method is contrasted with the impedance-based approaches. The method is used to model a three-dimensional absorber on a structure, which has been built, and is shown to correlate with experiment and full-scale finite element analysis.

Original languageEnglish (US)
Pages (from-to)869-886
Number of pages18
JournalJournal of Sound and Vibration
Volume281
Issue number3-5
DOIs
StatePublished - Mar 22 2005

Fingerprint

inertia
Dynamic response
absorbers
eigenvalues
broadband
vibration
Modal analysis
Experiments
dynamic response
Finite element method
impedance
estimates

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

Cite this

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abstract = "Multi-tuned vibration absorbers are attractive in reducing vibration and noise over a broadband. Here, an efficient and robust dynamic reanalysis algorithm is presented for predicting the dynamic response of a base structure to which are attached multiple absorbers. The 'reduced eigenvalue method' uses the modal analysis results of the base structure without absorbers, computed just once, to obtain the response of the modified structure. The method presented has two salient features. One is that the resonances of the modified structure are provided, and can be summed directly to estimate broadband measures of the dynamic response. The other is that rotatory inertia of the absorbers is properly captured, which has been found from experiment to be significant when an absorber is attached to a point on the base structure undergoing rotation. The method is contrasted with the impedance-based approaches. The method is used to model a three-dimensional absorber on a structure, which has been built, and is shown to correlate with experiment and full-scale finite element analysis.",
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A reduced eigenvalue method for broadband analysis of a structure with vibration absorbers possessing rotatory inertia. / Grissom, M. D.; Belegundu, A. D.; Koopmann, G. H.

In: Journal of Sound and Vibration, Vol. 281, No. 3-5, 22.03.2005, p. 869-886.

Research output: Contribution to journalArticle

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AB - Multi-tuned vibration absorbers are attractive in reducing vibration and noise over a broadband. Here, an efficient and robust dynamic reanalysis algorithm is presented for predicting the dynamic response of a base structure to which are attached multiple absorbers. The 'reduced eigenvalue method' uses the modal analysis results of the base structure without absorbers, computed just once, to obtain the response of the modified structure. The method presented has two salient features. One is that the resonances of the modified structure are provided, and can be summed directly to estimate broadband measures of the dynamic response. The other is that rotatory inertia of the absorbers is properly captured, which has been found from experiment to be significant when an absorber is attached to a point on the base structure undergoing rotation. The method is contrasted with the impedance-based approaches. The method is used to model a three-dimensional absorber on a structure, which has been built, and is shown to correlate with experiment and full-scale finite element analysis.

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