Calculation of the eigenfrequencies for an infinite circular cylinder

Kyungmin  Baik; Jung-Soo   Ryue; Ku-Kyun   Shin

doi:10.7776/ASK.2016.35.1.016

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2016 Vol.35, Issue 1 Preview Page Next Page

Calculation of the eigenfrequencies for an infinite circular cylinder 무한 원통형 실린더의 고유진동수에 관한 연구

31 January 2016. pp. 16-23

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Abstract

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.

Keywords

Cylinder

Eigenfrequency

Elasticity

Thin-shell

FEM

본 논문은 무한 원통형 실린더의 자유진동에서 발생하는 고유진동수(eigenfrequency)를 구하는 3가지 방법에 대해 다루었다. 일반적인 경우에 적용될 수 있는 탄성 이론을 적용한 방법과 얇은 두께의 실린더에 효율적으로 적용될 수 있는 얇은 원통형 쉘 이론을 적용한 방법, 유한요소법(FEM: Finite Element Method)을 통한 수치 해석 방법을 통해 구해진 결과에 대한 비교 및 검증을 수행하였다. 주어진 실린더의 외반경에 두께를 서로 달리하여 1 kHz 이하에 존재하는 원통형 쉘의 고유진동수를 구하였고 모드수와 두께의 변화에 따른 이들 결과에 대해 관찰하였다.

키워드

실린더

고유진동수

탄성 이론

얇은 원통형 쉘

유한요소법

References

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Information

Publisher :The Acoustical Society of Korea
Publisher(Ko) :한국음향학회
Journal Title :The Journal of the Acoustical Society of Korea
Journal Title(Ko) :한국음향학회지
Volume : 35
No :1
Pages :16-23
Received Date : 2015-07-31
Revised Date : 2015-09-23
Accepted Date : 2015-10-02
DOI :https://doi.org/10.7776/ASK.2016.35.1.016

The Journal of the Acoustical Society of KoreaISSN:1225-4428(Print) 2287-3775(Online)한국음향학회

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