All Issue

2014 Vol.27, Issue 5 Preview Page
Modal Property Estimation of Tapered Cantilever Pipe-type Cracked Beam

테이퍼 캔틸레버 원형강관 균열보의 모드특성 추정

Lee Jong Won†*
,
Kim Sang Ryul
,
Kim Bong Ki
Department of Architectural Engineering, Namseoul Univ., Cheonan, 331-707, Korea
Mechanical Systems Safety Research Division, Korea Institute of Machinery and Materials, Daejeon 305-343, Korea
Mechanical Systems Safety Research Division, Korea Institute of Machinery and Materials, Daejeon 305-343, Korea
•*Corresponding author Kim, Sang-Hoon jwlee@nsu.ac.kr
2014. pp. 361-368
PDF XML Citation
Abstract

Modal properties for tapered cantilever pipe-type beam is identified by applying the boundary conditions to a general solution for tapered beam. A bending stiffness for cracked beam is constructed based on an energy method for tapered cantilever thin-walled pipe, which has a through-the-thickness crack, subjected to bending. Then the natural frequencies and mode shapes of a tapered cantilever thin-walled cracked pipe are identified. It can be found that the phenomenon of the bending stiffness distribution along the beam length of the cracked beam is quite reasonable, the natural frequencies are decreased as the crack sizes are increased, and the mode shapes are changed due to the crack. This results may be used to the vibration-based crack identification for the tapered cantilever pipe-type tower structures.

본 연구에서는 테이퍼 보에 대한 미분방정식의 일반해에 캔틸레버 보의 경계조건을 적용하여 모드특성을 추정한다. 또한, 휨을 받는 테이퍼 원형강관 캔틸레버 보에 발생하는 관통균열을 모델링하기 위하여 에너지 방법을 이용하여 균열보에 대한 보 길이방향 휨강성을 구한 후 이를 이용하여 테이퍼 원형강관 캔틸레버 균열보에 대한 고유주파수와 모드형상을 추정한다. 보 길이에 따른 균열보의 휨강성 변화는 기존 연구에서 밝혀진 현상과 유사하게 합리적인 양상을 보였으며, 유도한 휨강성을 적용하여 산정한 균열보의 고유주파수는 균열 크기가 증가할수록 감소함을 확인하였고, 모드형상은 균열발생에 의해 변화함을 알 수 있었다. 연구결과는 향후 테이퍼 원형강관 캔틸레버 보 형태의 타워 구조물에 대한 진동기반 균열탐지에 활용될 수 있을 것으로 판단된다.

Keywords
modal property, tapered cantilever beam, bending stiffness, cracked beam
모드특성, 테이퍼 캔틸레버 보, 휨강성, 균열보
References
1
N.M., Auciello and G., Nole, 1998. Vibrations of a Cantilever Tapered Beam with Varying Section Properties and Carrying a Mass at the Free End. J. Sound &Vibration, 214, pp.105-119.
10.1006/jsvi.1998.1538
2
D.W., Chen and J.S., Wu, 2002. The Exact Solutions for the Natural Frequencies and Mode Shapes of Non-Uniform Beams with Multiple Spring-Mass Systems. J. Sound &Vibration, 255, pp.299-322.
10.1006/jsvi.2001.4156
3
S., Christides and A.D.S., Barr, 1984. One-dimensional Theory of Cracked Bernoulli-Euler Beams. Int. J. Mech. Sci., 26, pp.648-639.
10.1016/0020-7403(84)90017-1
4
M., Dilena, M.F., Dell'Oste and A., Morassi, 2011. Detecting Cracks in Pipes Filled with Fluid from Changes in Natural Frequencies. Mech. Syst. &Signal Process., 25, pp.3186-3197.
10.1016/j.ymssp.2011.04.013
5
M.C., Ece, M., Aydogdu and V., Taskin, 2007. Vibration of a Variable Cross-Section Beam. Mech. Res. Commun., 34, pp.78-84.
10.1016/j.mechrescom.2006.06.005
6
R.J., Franco, 1986. Failure Analysis and Prevention Vol. 11. ASM Handbook, ASM International, Ohio, pp.628-642.
7
D.J., Gorman, 1975. Free Vibration Analysis of Beams and Shafts. John Wiley &Sons, New York, pp.365-368.
8
Y.C., Huh, J.K., Kim and B.H., Kim, 2006. Crack Identification of Euler-Bernoulli Beam Using the Strain Energy Method. Proceedings of the KSNVE Annual Fall Conference, The Korean Society for Noise and Vibration Engineering, pp.396-400.
9
M., Kemppainen, I., Virkkunen, J., Pitkanen, R., Paussu and H., Hanninen, 2003. Realistic Cracks for In-Service Inspection Qualification Mock-Ups. NDT.net, 8, pp.1-8.
10.1016/S0029-5493(03)00078-5
10
S.M., Murigendrappa, S.K., Maiti and H.R., Srirangarajan, 2004. Frequency-Based Experimental and Theoretical Identification of Multiple Cracks in Straight Pipes Filled with Fluid. NDT&E International, 37, pp.431-438.
10.1016/j.ndteint.2003.11.009
11
M.R., Naniwadekar, S.S., Naik and S.K., Maiti, 2008. On Prediction of Crack in Different Orientations in Pipe using Frequency Based Approach. Mech. Syst. &Signal Process, 22, pp.693-708.
10.1016/j.ymssp.2007.09.007
12
National Transportation Safety Board 2001Pipeline Accident Brief (DCA99-MP005)NTSB/PAB -01/01Washington, D.C.
13
M.A.D., Rosa, M., Lippiello, M.J., Maurizi and H.D., Martin, 2010. Free Vibration of Elastically Restrained Cantilever Tapered Beams with Concentrated Viscous Damping and Mass. Mech. Res. Commun, 37, pp.261-264.
10.1016/j.mechrescom.2009.11.006
14
J.K., Sinha, M.I., Friswell and S., Edwards, 2002. Simplified Models for the Location of Cracks in Beam Structures using Measured Vibration Data. J. Sound &Vibration, 251, pp.13-38.
10.1006/jsvi.2001.3978
15
H., Tada, P.C., Paris and G.R., Irwin, 2000. The Stress Analysis of Cracks Handbook. 3rd ed, ASME, NewYork, p.476.
10.1115/1.801535
16
X.F., Yang, A.S.J., Swamidas and R., Seshadri, 2001. Crack Identification in Vibrating Beams using the Energy Method. J. Sound &Vibration, 244, pp.339-357.
10.1006/jsvi.2000.3498
17
Y.M., Wang, X.F., Chen and Z.J., Heb, 2011. Daubechies Wavelet Finite Element Method and Genetic Algorithm for Detection of Pipe Crack. Nondestruct. Test. &Eval., 26, pp.87-99.
10.1080/10589759.2010.521826
Information
  • Publisher :Computational Structural Engineering Institute of Korea
  • Publisher(Ko) :한국전산구조공학회
  • Journal Title :Journal of the Computational Structural Engineering Institute of Korea
  • Journal Title(Ko) :한국전산구조공학회 논문집
  • Volume : 27
  • No :5
  • Pages :361-368
  • Received Date : 2014-03-14
  • Revised Date : 2014-07-19
  • Accepted Date : 2014-08-22
  • DOI :https://doi.org/10.7734/COSEIK.2014.27.5.361
Journal Informaiton Journal of the Computational Structural Engineering Institute of Korea Journal of the Computational Structural Engineering Institute of Korea
Online Submission
  • NRF
  • KOFST
  • crossref crossmark
  • crossref cited-by
  • crosscheck
  • orcid
  • open access
  • ccl
Journal Informaiton Journal Informaiton - close