Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Analysis of Eigenderivative for the Non-Proportional Damped Structure Using the Iterative Method of the Sensitivity Coefficient

감도계수 반복법을 이용한 비비례감쇠계의 고유치 및 고유벡터 변화량 해석

  • 이정윤 (경기대학교 기계시스템디자인공학부)
  • Published : 2006.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

This study predicts the modified eigenvectors and eigenvalues of the non-proportional damped structure due to the change in the mass, damping and stiffness of structure by iterative method of the sensitivity coefficient using the original dynamic characteristic. The method is applied to the non-proportional damped 3 degree of freedom system by modifying the mass, damping and stiffness. The predicted dynamic characteristics are showed a good agreement with these from the structural reanalysis using the modified mass, damping and stiffness.

Keywords

References

  1. Fox, R. S. and Kapoor, M. P., 1968, 'Rates of Change of Eigenvalues and Eigenvectors,' AIAA Journal, Vol. 6, No. 12, pp. 2426-2429 https://doi.org/10.2514/3.5008
  2. Kim, H. and Park, Y., 1999, 'Updating Algorithms of Finite Element Model Using Singular Value Decomposition and Eigenanalysis,' Transactions of the KSNVE, Vol. 9, No. 1, pp. 163-173
  3. Nelson, R. B., 1976, 'Simplified Calculation of Eigenvector Derivatives,' AIAA Journal, Vol. 14, No. 9, pp. 1201-1205 https://doi.org/10.2514/3.7211
  4. Lee, J. M., Lee, J. W. and Sung, M. H., Fritzen, C. P., 1992, 'A study on Dynamic Modelling of Joint in Plate Structure,' Transactions of the KSNVE, Vol. 2, No. 1, pp. 61-66
  5. Park, Y. S. and Park, H. S., 1984, 'A Study on Improving the Realiablity of a Finite Elements Model and Stiffness Damage Detection by Dynamic Characteristics Measurements,' Transactions of KSME A, Vol. 10, No. 1, pp. 157-163
  6. Brandon, J., 1991, 'Second-Order Design Sensitivities to Assess the Applicability of Sensitivity Analysis,' AIAA Journal, Vol. 29, No. 1, pp. 135-139 https://doi.org/10.2514/3.10555
  7. Wang, B. P., 1991, 'Improved Approximate Methods for Computing Eigenvector Drivatives,' AIAA Journal, Vol. 29, No. 6, pp. 1018-1020 https://doi.org/10.2514/3.59945
  8. Adhikari, S. 1999, 'Rate of Changed of Eigenvalues and Eigenectors in Damped Dynamic System,' AIAA Journal, Vol. 37, No. 11, pp. 1452-1458 https://doi.org/10.2514/2.622
  9. Friswell, M. I. and Adhikari, S., 'Derivatives of Complex Eigenvectors Using Nelson's Method,' AIAA Journal, Vol. 38, No. 12, pp. 2355-2357 https://doi.org/10.2514/2.907
  10. Lee, J. Y., 2002, 'A Structural Eigenderivative Analysis by Modification of Design Parameter,' Transactions of KSME, Vol. 26, No. 4, pp. 739-744 https://doi.org/10.3795/KSME-A.2002.26.4.739