Axially symmetric vibrations of a finite isotropic disk. I

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DOIResolve DOI: http://doi.org/10.1121/1.1906919
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TypeArticle
Journal titleThe Journal of the Acoustical Society of America
Volume24
Issue5
Pages463467; # of pages: 5
Subjectboundary value problems
AbstractSome frequencies for the symmetrical normal nodes of a finite, isotropic disk are calculated by satisfying the boundary conditions exactly at the flat surfaces and approximately at the curved surface. It is found that two sets of frequencies occur for each vibration pattern. One set approaches the odd order thickness compressional frequencies, whereas the other approaches the even order thickness shear frequencies, as the radius of the disk increases indefinitely. As a test of the validity of the approximations, the maximum residual stresses at the curved surface are compared with the compressional component of the stress at the center of the disk.
Publication date
LanguageEnglish
AffiliationNational Research Council Canada
Peer reviewedYes
NRC number2803
NPARC number21273600
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Record identifier30d7d85d-93aa-4a9e-887e-2c9423a55afe
Record created2015-01-16
Record modified2016-05-09
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