Vibration Analysis for Infinite Length Waveguide Structures Connected with Finite Length Structures Using Impedance Coupling

Jungsoo Ryue; Jaehong Lee; Chinsuk Hong; Ku-Kyun Shin

doi:10.7776/ASK.2015.34.5.360

All Issue

2015 Vol.34, Issue 5 Preview Page Next Page

Vibration Analysis for Infinite Length Waveguide Structures Connected with Finite Length Structures Using Impedance Coupling 유한 길이 구조물과 무한 길이 도파관 구조물의 임피던스 연성을 이용한 진동 해석

30 September 2015. pp. 360-370

PDF XML

Abstract

In case that an infinite length waveguide structure is connected with a finite length structure, it is required to combine a wave approach for the waveguide structure and a modal approach for the finite length structure to investigate the dynamic response of the connected target structure. In this study, the wavenumber finite element (WFE) analysis is adopted for the infinite length waveguide substructure and a finite element (FE) method is applied for the finite length substructure and then their results are coupled in terms of the impedance or mobility at the connected points between the substructures. As a structural model, an infinite length cylindrical shell with a rectangular plate inside is regarded. These two substructures are connected at the four corner points of the plate, rigidly or resiliently. From this investigation, it was confirmed that the wave approach (WFE method) and modal approach (FE method) can be combined by the impedance coupling.

Keywords

Impedance coupling

Finite element method

Wavenumber finite element method

무한 길이를 가진 도파관 구조물에 유한 길이를 가진 구조물이 결합되어 있는 경우, 결합된 구조물의 응답을 수치해석으로 구하기 위해서는 파동 방법과 모드 방법을 함께 적용하여 해석하는 것이 필요하다. 본 논문에서는 무한 길이 도파관구조물에 대해서는 파수유한요소법을, 유한 길이 구조물에 대해서는 유한요소법을 적용하여 결합 지점에서의 각 하부 구조물 임피던스 또는 모빌리티를 구하고 이를 연성하여 전체 구조물의 응답을 해석하는 방법에 대하여 다루었다. 해석 대상 구조물로는 내부에 사각 평판 구조물이 네 꼭지점에서 결합되어 있는 무한 길이 원통형 실린더를 선정하였으며, 네 결합지점이 강결합 또는 탄성마운트로 결합된 경우에 대하여 살펴보았다. 본 연구를 통해 임피던스 연성을 통한 파동 방법(파수유한요소법)과 모드 방법(유한요소법)의 결합이 적용 가능함을 확인하였다.

키워드

임피던스 연성

유한요소법

도파관유한요소법

References

1.J. F. Doyle, Wave Propagation in Structures: Spectral Analysis Using Fast Discrete Fourier Transforms, 2nd Ed. (Springer, New York, 1997).

2.S. Gopalakrishnan and J.F. Doyle, “Spectral super-elements for wave propagation in structures with local non-uniformities,” Comput. Methods in Appl. Mech. Eng., 121, 77-90 (1995).

3.C. M. Nilsson, Waveguide finite elements applied on a car tyre, (Ph. D. thesis, Kungliga Tekniska Hӧgskolan, 2004).

4.C. M. Nilsson and S. Finnveden, “Input power to waveguides calculated by a finite element method,” J. Sound Vib. 305, 641-658 (2007).

5.C. M. Nilsson, C. J. C. Jones, D. J. Thompson, and J. Ryue, “A waveguide finite element and boundary element approach to calculating the sound radiated by railway and tram rails,” J. Sound Vib. 321, 813-836 (2009).

6.Y. Waki, On the application of finite element analysis to wavve motion in one-dimensional waveguides, (Ph. D. thesis, University of Southampton, 2007).

7.D.J. Ewins, Modal Testing: Theory and Practice (Research Studies Press Ltd., Letchworth, 1984), pp. 237-243.

8.C.M. Nilsson and C.J.C. Jones, Theory manual for WANDS 2.1, (ISVR Technical Memorandum No. 975, University of Southampton, 2007).

9.C.M. Nilsson and C.J.C. Jones, Manual for WANDS 2.1, (ISVR Technical Memorandum No. 976, University of Southampton, 2007).

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 : 34
No :5
Pages :360-370
Received Date : 2015-06-22
Accepted Date : 2015-08-16
DOI :https://doi.org/10.7776/ASK.2015.34.5.360

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

All Issue