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

Eigenderivative Analysis by Modification of Design Parameter in the Proportional Damping System

설계파라미터 변경에 의한 비례 감쇠구조물의 동특성 변화 해석

  • 이정우 (한전기공(주)) ;
  • 오재응 (한양대학교 기계공학부) ;
  • 이정윤 (경기대학교 기계시스템디자인공학부)
  • Published : 2006.05.01
Download PDF
⟨ Previous Next ⟩

Abstract

An efficient method for change of eigenvectors and eigenvalues due to the modifying proportional damping structure using sensitivity coefficients is presented. Sensitivity coefficients are determined by iteration with eigenvalue and eigenvectors before modification of system. The proposed method is applied to examples of 3 degrees of freedom system and plate by modifying mass and stiffness. The predicted change of eigenvectors and eigenvalues are in a good agreement with these from the structural re-analysis after modification of mass and stiffness.

Keywords

References

  1. Fox, R. S. and Kapoor, M P., 1968, 'Rates of Change of Eigenvalues and Eigenvectors,' AlAA, Vol. 6, No. 12, pp. 2426-2429
  2. Yoon, B. G. and Belegundu, A. D., 1988, 'Iterative Methods for Design Sensitivity Analysis,' AlAA, Vol. 26, No. 11, pp. 1413-1415
  3. Lee, J. Y., 2002, 'A Structural Eigenderivative Analysis by Modification of Design Parameter,' Transactions of the KSME(A) , Vol. 26, No.4. pp. 739-744 https://doi.org/10.3795/KSME-A.2002.26.4.739
  4. Adhikari, S., 1999, 'Rates of Change of Eignevalues and Eigenvectors in Damped Dynamic System,' AlAA, Vol. 37, No. 11, pp. 1452-1458
  5. Lee, I. W., Kim, D. O. and Jung, G. H., 1999, 'Natural Frequency And Mode Shape Sensitivity of Damping Systems: Part I, Distinct Natural Frequencies,' Journal of Sound and Vibration, Vol. 223, No.3, pp. 399-412 https://doi.org/10.1006/jsvi.1998.2129
  6. Jung, H. G., Kim, D.O., Lee. C. W. and Lee, I.W. 1997, 'Algebraic Method for Computation Natural Frequency and Mode Shape Sensitivities' , Journal of KSME, Vol. 21, No.5, pp. 707-718
  7. Choi, K. M., Cho, S. W., Ko, M. G. and I. W. Lee, 2003, 'Algebraic Method for Sensitivity Analysis of Eigensystems with Repeated Eigenvalues,' Journal of KSCE, Vol. 7, No.!, pp. 17-23