Eigenderivative Analysis of the Damped Structurure due to Modification of Mass and Stiffness

질량과 강성 변경 따른 감쇠구조물의 동특성 변화 해석

  • 이정윤 (경기대학교 기계공학과)
  • Published : 2005.08.01

Abstract

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

Keywords

References

  1. Fox, R. L. and Kapoor, M. P., 1968, 'Rates of Change of Eigenvalues and Eigenvectors,' AIAA J., Vol. 6, No. 12, pp. 2426-2429 https://doi.org/10.2514/3.5008
  2. Nelson, R. B., 1976, 'Simplified Calculation of Eigenvector Derivatives,' AIAA J., Vol. 14, No. 9, pp. 1201-1205 https://doi.org/10.2514/3.7211
  3. Brandon, J., 1991, 'Second-Order Design Sensitivities to Assess the Applicability of Sensitivity Analysis,' AIAA J., Vol. 29, No. 1, pp. 135-139 https://doi.org/10.2514/3.10555
  4. Wang, B. P., 1991, 'Improved Approximate Methods for Computing Eigenvector Drivatives,' AIAA J., Vol. 29, No. 6, pp. 1018-1020 https://doi.org/10.2514/3.59945
  5. Adhiakri, S., 1999, 'Rate of Changed of Eigenvalues and Eigenectors in Damped Dynamic System,' AIAA J., Vol. 37, No. 11, pp. 452-1458
  6. Friswell, M. I., and Adhiakri, S., 2000, 'Derivatives of Complex Eigenvectors Using Nelson's Method,' AIAA J., Vol. 38, No. 12, pp. 2355-2357 https://doi.org/10.2514/2.907
  7. Lee, J. Y., 2000, 'Prediction of Modified Structural Natural Frequencies and Modes using Iterative Sensitivity Coefficient,' Trans. of KSMTE, Vol. 9, No. 5, pp. 40-46