6. Bibliography#

  1. CAMBIER S., DESCELIERS C.: Nonparametric probabilistic model — parametric model of a flexure plate with localized shock nonlinearities, documentation*Code_Aster* [V5.06.001].

  2. CAMBIER S., DESCELIERS C.: Numerical Monte Carlo simulation, Code_Aster documentation [U2.08.05].

  3. CAMBIER S., DESCELIERS C.: Operator GENE_VARI_ALEA, documentation*Code_Aster* [U4.36.06].

  4. CAMBIER S., DESCELIERS C.: Operator GENE_MATR_ALEA, documentation*Code_Aster* [U4.36.07].

  5. CAMBIER S., DESCELIERS C., SOIZE S.: Probabilistic consideration of uncertainties in estimating the seismic behavior of a primary circuit, Note EDF -R&D HT‑62/03/005/A, 2003

  6. CAMBIER S., DESCELIERS C., SOIZE S.: Probabilistic consideration of uncertainties in the estimation of the seismic behavior of a primary circuit. 7th National Colloquium AFPS, 2003.

  7. CAMBIER S.: Application of the probabilistic approach to fuel assembly within the framework of « 3% AMA » in 2002, CR- AMA -03-004, December 2002

  8. CAMBIER S.: Probabilistic approach for taking into account the dispersion of mechanical parameters - Application to vibration fatigue, Note EDF -R&D HT-64/00/040/A, December 2000

  9. CAMBIER S., GUIHOT P., COFFIGNAL G.: Computational methods for accounting of structural uncertainties, applications to dynamic behaviour prediction of piping systems. Structural Safety, 24:29-50, 2002.

  10. CHEBLI H.: Modeling of Inhomogeneous Random Uncertainties in Structural Dynamics for the Low Frequency Domain Thesis CNAM - ONERA, 2002

  11. DESCELIERS C., SOIZE C., CAMBIER S.: Nonparametric—parametric model for random uncertainties in nonlinear structural dynamics — Application to earthquake engineering, submitted to Earthquaque Engineering and Structural Dynamics, submitted to Earthquaque Engineering and Structural Dynamics in 2003

  12. DURBEC V., TROTTIER C (INRIA), DIEBOLT J. (CNRS): Regularization of distributions for better extreme adequacy: summary report of CRECO EDF/INRIA EP 902, Note EDF -R&D HP-26/00/008/A

  13. IBRAHIM R.A.: Structural dynamics with parameter uncertainties, Applied Mechanics Reviews, Vol. 40, no. 3, pp.309-328, 1987

  14. JAYNES E.T., Information theory and statistical mechanics, Physical Review, Physical Review, 106 (4), 106 (4), 620-630 and 108 (2), 171-190, 1957

  15. KAPUR J.N, KEYSAVAN H.K.: Entropy Optimization Principles with Applications, Academic Press, San Diego, 1992

  16. KATAFYGIOTIS L.S., PAPADIMITRIOU C.: Dynamic Response Variability of Structures with Uncertain Properties, Earthquake Engineering and Structural Dynamics, Vol. 25, pp.775-793, 1996

  17. SHANNON C.E.: A mathematical theory of communication, Bell System Tech. J., 27, 379‑423 and 623-659, 1948

  18. SOIZE C.: Methods for studying classical stochastic dynamic problems, Engineering Techniques, Treatise Fundamental Sciences, A 1 346, 61p, 1988

  19. SOIZE C.: Parametric — Non-Parametric Mixed Probabilistic Model of Uncertainties in Nonlinear Structural Dynamics, Scientific Report CRECO T62/E28858, 2001

  20. SOIZE C.: Modeling random uncertainties in transient elastodynamics, Proceedings of the Academy of Sciences - Series IIB — Mechanics, 329 (3), 225-230, 2001.

  21. SOIZE C.: Nonlinear Dynamical System with Nonparametric Model of Random Uncertainties, The Uncertainties in Engineering Mechanics Journal, e-journal form Resonance Publication, http://www.resonance-pub.com/eprints.htm, 2001

  22. SOIZE C.: Transient responses of dynamical systems with random uncertainties, Probabilistic Engineering Mechanics, 16 (4), 363-372, 2001

  23. SOIZE C.: Maximum Entropy Approach for Modeling Random Uncertainties in Transient Elastodynamics, J. Acoust. Soc. Am., 109 (5), 1979-1996, 2001.

  24. SOIZE C.: Nonlinear Dynamical System with Nonparametric Model of Random Uncertainties, The Uncertainties in Engineering Mechanics Journal, e-journal form Resonance Publication, http://www.resonance-pub.com/eprints.htm, 2001