Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
권호 표지
DOI QR코드

DOI QR Code

Comparison of Damping Matrix Estimation Methods for Model Updating

모형개선을 위한 감쇠행렬 추정법의 비교

  • Received : 2010.07.22
  • Accepted : 2010.09.13
  • Published : 2010.10.20
Download PDF
⟨ Previous Next ⟩

Abstract

Finite element models of dynamic systems can be updated in two stages. In the first stage, mass and stiffness matrices are updated neglecting damping, and in the second stage, damping matrices are estimated with the mass and stiffness matrices fixed. Three methods to estimate damping matrices for this purpose are proposed in this paper. The methods include one for proportional damping systems and two for non-proportional damping systems. Method 1 utilizes orthogonality of normal modes and estimates damping matrices using the modal parameters extracted from the measured responses. Method 2 estimates damping matrices from impedance matrices which are the inverse of FRF matrices. Method 3 estimates damping using the equation which relates a damping matrix to the difference between the analytical and measured FRFs. The characteristics of the three methods are investigated by applying them to simulated discrete system data and experimental cantilever beam data.

Keywords

References

  1. Imregun, M. and Visser, W. J., 1991, “A Review of Model Updating Techniques,” The Shock and Vibration Digest, Vol. 23, pp. 141-162.
  2. Mottershead, J. E. and Friswell, M. I., 1993, “Model Updating in Structural Dynamics : A Survey,” Journal of Sound and Vibration, Vol. 167, pp. 347-375. https://doi.org/10.1006/jsvi.1993.1340
  3. Friswell, M. I. and Mottershead, J. E., 1995, Finite Element Model Updating in Structural Dynamics, Kluwer Academic Publishers.
  4. Baruch, M., 1978, “Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Data,” AIAA Journal, Vol. 16, pp. 1208-1210. https://doi.org/10.2514/3.61032
  5. Lin, R. M. and Ewins, D. J., 1994, “Analytical Model Improvement Using Frequency Response Functions,” Mechanical Systems and Signal Processing, Vol. 8, pp. 437-458. https://doi.org/10.1006/mssp.1994.1032
  6. Imregun, M., Visser, W. J. and Ewins, D. J., 1995, “Finite Element Model Updating Using Frequency Response Function Data - I. Theory and Initial Investigation,” Mechanical Systems and Signal Processing, Vol. 9, pp. 187-202. https://doi.org/10.1006/mssp.1995.0015
  7. Lu, Y. and Tu, Z., 2004, “A Two-level Neural Network Approach for Dynamic FE Model Updating Including Damping,” Journal of Sound and Vibration, Vol. 275, pp. 931-952. https://doi.org/10.1016/S0022-460X(03)00796-X
  8. Lin, R. M. and Zhu, J., 2006, “Model Updating of Damped Structures Using FRF Data,” Mechanical Systems and Signal Processing, Vol. 20, pp. 2200-2218. https://doi.org/10.1016/j.ymssp.2006.05.008
  9. Arora, V., Singh, S. P. and Kundra, T. K., 2009, “Finite Element Model Updating with Damping Identification,” Journal of Sound and Vibration, Vol. 324, pp. 1111-1123. https://doi.org/10.1016/j.jsv.2009.02.048
  10. Lee, G.-M., Kim, K.-J. and Ju, Y.-H., 2009, “Estimation of Damping Matrices for Dynamic Systems,” Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 19, No. 10, pp. 1021-1027. https://doi.org/10.5050/KSNVN.2009.19.10.1021
  11. User’s Guide(Version 3), 2004, Optimization Toolbox for Use with MATLAB, The MathWorks, Inc., Natick, MA.
  12. Ewins, D. J., 1995, Modal Testing : Theory and Practice, Research Studies Press Ltd.
  13. Ozgen, G. O. and Kim, J. H., 2009, “Error Analysis and Feasibility Study of Dynamic Stiffness Matrix-based Damping Matrix Identification,” Journal of Sound and Vibration, Vol. 320, No. 1-2, pp. 60-83. https://doi.org/10.1016/j.jsv.2008.07.021

Cited by

  1. Nonproportional viscous damping matrix identification using frequency response functions vol.40, pp.4, 2016, https://doi.org/10.5916/jkosme.2016.40.4.369