Design Sensitivity Analysis of the Second Order Perturbed Eigenproblems for Random Structural System

불확정 구조계 고유치에 관한 이차 민감도 해석

  • 임오강 (부산대학교 기계공학과 및 기계기술연구소) ;
  • 이병우 (부산대학교 기계공학과 및 기계기술연구소)
  • Published : 1994.09.01

Abstract

Design sensitivity analysis of the second order perturbed eigenproblems for random structural system is presented. Dynamic response of random system including uncertainties for the design variable is calculated with the first order and second order perturbation method to original governing equation. In optimal design methods, there is fundamental requirement for design gradients. A method for calculating the sensitivity coefficients is developed using the direct differentiation method for the governing equation and first order and second order perturbed equation.

Keywords

References

  1. AIAA JOURNAL v.7 no.4 The Eigenvalue Problem for Structural Systems with Statistical Properties J.D.Collins;W.T.Thomson
  2. SIJTHOFF & NOORDHOFF Computational Methods in Structural Dynamics L.Meirovitch
  3. 確率有限要素法入門 中洞滋;九田俊明
  4. AIAA JOURNAL v.6 no.12 Rates of Change of Eigenvalues and Eigenvectors R.L.Fox;M.P.Kapoor
  5. AIAA JOURNAL v.13 no.6 Numerical Methods for Evaluationg the Derivatives of Eigenvalues and Eigenvectors C.A.Rudisill;Y.Y.Chu
  6. 전산구조공학 v.4 no.2 고유치 문제의 확률 유한요소 해석 양영순;김지호
  7. 전산구조공학 v.7 no.1 불확정 구조계 고유치에 관한 민감도 해석 임오강;이병우
  8. Design Sensitivity Analysis fo Structural Systems E.J.Haug;K.K.Choi;V.Komkov