Calculation of the eigenfrequencies for an infinite circular cylinder
Author(s) -
Kyungmin Baik,
Jungsoo Ryue,
Ku-Kyun Shin
Publication year - 2016
Publication title -
the journal of the acoustical society of korea
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.162
H-Index - 2
eISSN - 2287-3775
pISSN - 1225-4428
DOI - 10.7776/ask.2016.35.1.016
Subject(s) - cylinder , mathematics , physics , mathematical analysis , geometry , acoustics
Present study shows three different methods finding the eigenfrequencies of an infinite circular cylinder under free-vibration; Elasticity theory that can be applied to general case, thin-shell theory that can be effectively applied to the cylinders with small thickness, and numerical study using Finite Element Method (FEM). The results obtained from those methods were verified through the cross check among the calculations. Changing the thickness of the cylinder for a fixed outer radius, all the eigenfrequencies below 1 kHz were found and their dependences on the modal index and the thickness were observed.
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