Random uncertainties model in dynamic substructuring using a nonparametric probabilistic model

Journal of Engineering Mechanics

Volumn 129, Issue 4, 2003, Pages 449-457

  Soize, C ^a   Chebli, H ^b  

^a UNIVERSITÉ GUSTAVE EIFFEL   (France)

^b ONERA   (France)

Author keywords

Structural dynamics; Substructures; Uncertainty

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PROBABILITY; RANDOM PROCESSES; UNCERTAIN SYSTEMS;

RANDOM UNCERTAINTIES MODEL;

FREQUENCY RESPONSE;

DYNAMIC RESPONSE; STRUCTURAL PERFORMANCE;

EID: 0037850011     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2003)129:4(449)     Document Type: Article

References (45)

1. Anderson, T. W. (1958). Introduction to multivariate statistical analysis, Wiley, New York.
2. Argyris, J., and Mlejnek, H. P. (1991). Dynamics of structures, North-Holland, Amsterdam.
3. Bath, K. J., and Wilson, E. L. (1976). Numerical methods in finite element analysis. Prentice-Hall. New York.
4. Benfield, W. A., and Hruda, R. F. (1971). "Vibration analysis of structures by component mode substitution." AIAA J., 9, 1255-1261.
5. Cheung, Y. K., and Leung, A. Y. T. (1992). Finite element methods in dynamics, Kluwer Academic, Dordrecht, The Netherlands.
6. Clough, R. W., and Penzien, J. (1975). Dynamics of structures, McGraw-Hill, New York.
7. Cochran, W. G. (1977). Sampling techniques, Wiley, New York.
8. Craig, R. R., and Bampton, M. M. C. (1968). "Coupling of substructures for dynamic analysis." AIAA J., 6, 1313-1319.
9. Géradin, M., and Rixen, D. (1994). Mechanical vibrations. Wiley. Chichester, U.K.
10. Ghanem, R. G., and Spanos, P. D. (1991). Stochastic finite elements: A spectral approach, Springer, New York.
11. Haug, E. J., Choi, K. K., and Komkov, V. (1986). Design sensitivity analysis of structural systems, Academic, New York.
12. Hintz, R. M. (1975). "Analytical methods in component modal synthesis." AIAA J., 13, 1007-1016.
13. Hurty, W. C. (1965). "Dynamic analysis of structural systems using component modes." AIAA J., 3(4), 678-685.
14. Ibrahim, R. A. (1985). Parametric random vibration, Wiley, New York.
15. Ibrahim, R. A. (1987). "Structural dynamics with parameter uncertainties." Appl. Mech. Rev., 40(3), 309-328.
16. Iwan, W. D., and Jensen, H. (1993). "On the dynamic response of continuous systems including model uncertainty." Trans. ASME, 60, 484-490.
17. Jaynes, E. T. (1957). "Information theory and statistical mechanics." Phys. Rev., 106(4), 620-630; 108(2), 171-190.
18. Kalos, M. H., and Whitlock, P. A. (1986). Monte Carlo methods, Vol. I: Basics, Wiley, New York.
19. Kapur, J. N., and Kesavan, H. K. (1992). Entropy optimization principles with applications, Academic, San Diego.
20. Kleiber, M., Tran, D. H., and Hien, T. D. (1992). The stochastic finite element method, Wiley, New York.
21. Kree, P., and Soize, C. (1986). Mathematics of random phenomena, Reidel, Dordrecht, The Netherlands.
22. Lee, C., and Singh, R. (1994). "Analysis of discrete vibratory systems with parameter uncertainties. Part II. Impulse response." J. Sound Vib., 174(3), 395-412.
23. Lin, Y. K., and Cai, G. Q. (1995). Probabilistic structural dynamics, McGraw-Hill, New York.
24. Liu, W. K., Belytschko, T., and Mani, A. (1986). "Random field finite elements." Int. J. Numer. Methods Eng., 23, 1832-1845.
25. MacNeal, R.H. (1971). "A hybrid method of component mode synthesis." AIAA J., 1, 581-601.
26. Mehta, M. L. (1991). Random matrices, revised and enlarged 2nd Ed., Academic, New York.
27. Meirovitch, L. (1980). Computational methods in structural dynamics, Sijthoff and Noordhoff, The Netherlands.
28. Meirovitch, L., and Hale, L. (1981). "On the substructure synthesis method." AIAA J., 19, 940-947.
29. Morand, H. P. J., and Ohayon, R. (1979). "Substructure variational analysis for the vibrations of coupled fluid-structure systems." Int. J. Numer. Methods Eng., 14(5), 741-755.
30. Ohayon, R., and Soize, C. (1998). Structural acoustics and vibration, Academic, San Diego.
31. Roberts, J. B., and Spanos, P. D. (1990). Random vibration and statistical linearization, Wiley, New York.
32. Rubin, S. (1975). "Improved component-mode representation for structural dynamic analysis." AIAA J., 13, 995-1006.
33. Rubinstein, R. Y. (1981). Simulation and the Monte Carlo method, Wiley, New York.
34. Shannon, C. E. (1948). "A mathematical theory of communication." Bell Syst. Tech. J., 27, 379-423; 27, 623-659.
35. Shinozuka, M., and Deodatis, G. (1988). "Response variability of stochastic finite element systems." J. Eng. Mech., 114(3), 499-519.
36. Soize, C. (1994). The Fokker-Planck equation for stochastic dynamical systems and its explicit steady state solutions, World Scientific, Singapore.
37. Soize, C. (1999). "A nonparametric model of random uncertainties in linear structural dynamics." Publication du LMA-CNRS, 152, 109-138.
38. Soize, C. (2000). "A nonparametric model of random uncertainties for reduced matrix models in structural dynamics." Probab. Eng. Mech., 15(3), 277-294.
39. Soize, C. (2001). "Maximum entropy approach for modeling random uncertainties in transient elastodynamics." J. Acoust. Soc. Am., 109(5), 1979-1996.
40. Soize, C., and Bjaoui, K. (2000). "Estimation of fuzzy structure parameters for continuous junctions." J. Acoust. Soc. Am., 107(4), 2011-2020.
41. Soong, T. T. (1973). Random differential equations in science and engineering, Academic, New York.
42. Spanos, P. D., and Ghanem, R. G. (1989). "Stochastic finite element expansion for random media." ASCE J. Eng. Mech., 115(5), 1035-1053.
43. Spanos, P. D., and Zeldin, B. A. (1994). "Galerkin sampling method for stochastic mechanics problems." J. Eng. Mech., 120(5), 1091-1106.
44. Vanmarcke, E., and Grigoriu, M. (1983). "Stochastic finite element analysis of simple beams." J. Eng. Mech., 109(5), 1203-1214.
45. Zienkiewicz, O. C., and Taylor, R. L. (1989). The finite element method, 4th Ed., McGraw-Hill, New York.