Journal of the Korean Society of Fisheries and Ocean Technology (수산해양기술연구)

The Korean Society of Fisheries and Ocean Technology (한국수산해양기술학회)
권호 표지

A Study on the Stochastic Sensitivity Analysis in Dynamics of Shell Structure

쉘 구조물의 확률적 동적 민감도 해석에 관한 연구

  • Published : 1998.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

It is main objective of this approach to present a method to analyse stochastic design sensitivity for problems of structural dynamics with randomness in design parameters. A combination of the adjoint variable approach and the second oder perturbation method is used in the finite element approach. An alternative form of the constant functional that holds for all times is introduced to consider the time response of dynamic sensitivity. The terminal problem of the adjoint system is solved using equivalent homogeneous equations excited by initial velocities. The numerical procedures are shown to be much more efficient when based on the fold superposition method : the generalized co-ordinates are normalized and the correlated random variables are transformed to uncorrelated variables, where as the secularities are eliminated by the fast Fourier transform of complex valued sequences. Numerical algorithms have been worked out and proved to be accurate and efficient : they codes whose element derivative matrices can be explicitly generated. The numerical results of two cases - 2-dimensional portal frame and 3/4-cylindrical shell structure - for the deterministic and stochastic sensitivity analysis illustrates in this paper.

Keywords

References

  1. Design Sensitivity Analysis of Structural Systems Haung, E.J.;Choi, K. K.;Komkov. V
  2. Comput. Struct. v.21 Structural Design Sensitivity Analysis of Non-linear Re-sponse Ryu. Y. S.;Haririan. M;Arora. J.S.
  3. AIAA J. v.24 '1st and 2nd order Sensitivity Analysis of Non-linear Systems Mroz. Z;Haftka. R. T.
  4. 大韓機械學會 論文集 v.18 no.8 Structural Optimization using Stochastic Finite Element Method Lim, O. K.(et al.)
  5. J. Eng. Mech. v.113 no.6 Structural Response Variability Shinozuka, M.
  6. J. Eng. Mech. v.109 no.5 Stochastic Finite Element Analysis of Simple Beams Vanmarcke. E.;Grigoriu. M.
  7. J. Eng. Mech. v.14 no.12 Structural Response Variability Ⅱ Bucher. C. G.
  8. J. Eng. Mech. v.117 no.8 Weighted Integral Method Ⅰ: Stochastic Stiffness Matrix Deodatis, G.
  9. Appl. Mech. Rev. v.41 no.5 Finite Element Methods in Prob-abilistic Structural Analysis : A Selective Review Benaroya. H;Rehak. M
  10. Int. J. Num. Meth. in Eng. v.23 Random Field Finite El-ements Liu, W. K;Belytschko. T;Mani. A
  11. Comp. Struct. v.12 The Stochastic Finite Element Method Contreras. H
  12. Comp. Struct. v.12 Structural Optimization by Chance Constrained Programming Techniques Rao. S. S
  13. J. Eng. Mech. Div. v.100 no.EM1 Exact and Inrariant 2nd-Moment Code Format Hasofer. A.M;Lind. N. C
  14. thesed' Etat, Univ. de Nice Quelques Results en Optimization de domain Bousselet. B
  15. Comput. struct. v.37 no.6 Finite Element Analysis based on Stochastic Hamilton Variational Principle Hien. T.D;Kleiber. M
  16. Comput. Struct. v.38 no.516 Stochastic Structural Design Sensitivity of Static Response Hien. T.D;Kleiber. M
  17. Int. J. Num. Meth. Eng. v.32 Stochastic Desgin Sensitivity in Structural Dynamics Hien. T.D;Kleiber. M
  18. The Stochastic Finite Element Method The Stochastic Finite Element Method Hien. T. D;Kleiber. M
  19. 大韓土木學會 論文集 Variational Approach for the Design Sensitivity Analysis of Geometrically Non-linear Structures Ryu. Y.S.