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Analysis of Damped Vibration Signal Using Empirical Mode Decomposition Method

경험 모드 분리법을 이용한 감쇠 진동 신호의 분석

  • 이인재 (한국과학기술연구원 트라이볼로지연구센터) ;
  • 이종민 (한국과학기술연구원 트라이볼로지연구센터) ;
  • 황요하 (한국과학기술연구원 트라이볼로지연구센터) ;
  • 허건수 (한양대학교 기계공학부)
  • Published : 2005.02.01

Abstract

Empirical mode decomposition(EMD) method has been recently proposed to analyze non-linear and non-stationary data. This method allows the decomposition of one-dimensional signals into intrinsic mode functions(IMFs) and is used to calculate a meaningful multi-component instantaneous frequency. In this paper, it is assumed that each mode of damped vibration signal could be well separated in the form of IMF by EMD. In this case, we can have a new powerful method to calculate natural frequencies and dampings from damped vibration signal which usually has multiple modes. This proposed method has been verified by both simulation and experiment. The results by EMD method whichhas used only output vibration data are almost identical to the results by FRF method which has used both input and output data, thereby proving usefulness and accuracy of the proposed method.

Keywords

References

  1. Huang N. et al., 1998. 'The Empirical Mode Decomposition and the Hilbert Spectrum for Nonlinear and Non-stationarv Time Series Analysis.' Proceedings. Mathematical, Physical, and Engineering Sciences,.454. No. 1971 pp. 903-995 https://doi.org/10.1098/rspa.1998.0193
  2. Per Gloersen, 2003. 'Comparison of Interannual Intrinsic Modes in Hemispheric Sea Ice Covers and Other Geophysical Parameters.', IEEE Transactions on Geoscience and Remote Sensing. Vol. 41, No. 5. pp. 1032-1074
  3. Huang N. E. Z. Shen, S. R. Long. 1999. 'A New View of Nonlinear Water Waves : The Hilbert Spectrum'. Annual Review of Fluid Mechanics Vol. 31, pp. 417 -457 https://doi.org/10.1146/annurev.fluid.31.1.417
  4. Wei Huang. Z. Sheri, N. E. Huang and Cheng Fung., 1998. 'Engineering Analysis of Biological Variables: An Example of Blood Pressure over 1 Day .', Proceedings of the National Academy of Sciences of the United States of America. Vol. 95. No. 9 p. 4816-4821 https://doi.org/10.1073/pnas.95.9.4816
  5. Quek, S. T., Tua, P. S. and Wang. Q., 2003. 'Detecting Anomalies in Beams and Plate Based on the Hilbert-huang Transform of Real Signals.' Smart Materials and Structures. Vol. 12. No. 3. pp. 447-460 https://doi.org/10.1088/0964-1726/12/3/316
  6. Chen, J. and Xu. Y. L., 2003, 'Identification of Modal Damping Ratios of Structures with Closely Spaced Modal Frequencies'. Structural Engineering and Mechanics, Vol. 14, No. 4, pp. 417-434
  7. Jann N. Yang, 2003, 'System Identification of Linear Structures Based on Hilbert-huang Spectral Analysis. Part 1: Normal Modes.' Earthquake Engineering and Structural Dynamics Vol. 32, pp. 1443-1467 https://doi.org/10.1002/eqe.287
  8. Jann N. Yang, 2003, 'System identification of Linear Structures Based on Hilbert-huang Spectral Analysis. Part 2: Complex Modes.' Earthquake Engineering and Structural Dynamics Vol. 32, pp. 1533-1554 https://doi.org/10.1002/eqe.288
  9. Gary G. Leisk, 2001, 'Application of the Hilbert-huang Transform to Machine Tool Condition/health Monitoring.' AlP Conference Proceedings Vol. 615 No. B pp. 1711-1718
  10. Dejie Yu, 2003, 'Application of EMD Method and Hilbert Spectrum to the Fault Diagnosis of Roller Bearings.' Mechanical Systems and Signal Processing,No. 2
  11. 김경호, 박윤식, 2002, '주파수 응답함수를 이용한 부분구조 합성에서 모드자름 오차 보정에 관한 수치적 연구' 한국소음진동공학논문집, 제 12 권, 제 4 호, pp. 302-309
  12. James. M. L., 1994, Vibration of Mechanical and Structural Systems, Harper Collins
  13. Torsten Schlurmann, 2004. ' Performance and Limitations of the Hilbert-huang Transformation (HHT) with an Application to Irregular Water Wave', Ocean Engineering 31, pp. 1783-1834 https://doi.org/10.1016/j.oceaneng.2004.03.007
  14. LMS International. 1993, Modal Testing and Analysis, CADA-X 3.5.D, user Menual