Frequency constants for transverse vibration of annular disks

Research output: Contribution to journalReview article

20 Citations (Scopus)

Abstract

Frequency constants for the transverse vibration of thin, annular disks are presented. All nine combinations of the boundary conditions, free, simply supported, and clamped, are included for Poisson's ratios of 0.0, 0.3, and 0.5. Many of these cases have been treated earlier in the literature but with occasional, significant error. Consequently, several tests of the validity of the present solutions are described.

Original languageEnglish (US)
Pages (from-to)3311-3317
Number of pages7
JournalJournal of the Acoustical Society of America
Volume105
Issue number6
DOIs
StatePublished - Jan 1 1999

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transverse oscillation
Poisson ratio
boundary conditions
Transverse
Boundary Conditions

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

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title = "Frequency constants for transverse vibration of annular disks",
abstract = "Frequency constants for the transverse vibration of thin, annular disks are presented. All nine combinations of the boundary conditions, free, simply supported, and clamped, are included for Poisson's ratios of 0.0, 0.3, and 0.5. Many of these cases have been treated earlier in the literature but with occasional, significant error. Consequently, several tests of the validity of the present solutions are described.",
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Frequency constants for transverse vibration of annular disks. / Gabrielson, Thomas B.

In: Journal of the Acoustical Society of America, Vol. 105, No. 6, 01.01.1999, p. 3311-3317.

Research output: Contribution to journalReview article

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N2 - Frequency constants for the transverse vibration of thin, annular disks are presented. All nine combinations of the boundary conditions, free, simply supported, and clamped, are included for Poisson's ratios of 0.0, 0.3, and 0.5. Many of these cases have been treated earlier in the literature but with occasional, significant error. Consequently, several tests of the validity of the present solutions are described.

AB - Frequency constants for the transverse vibration of thin, annular disks are presented. All nine combinations of the boundary conditions, free, simply supported, and clamped, are included for Poisson's ratios of 0.0, 0.3, and 0.5. Many of these cases have been treated earlier in the literature but with occasional, significant error. Consequently, several tests of the validity of the present solutions are described.

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