Finite element method for stochastic beams based on variational principles

Journal of Applied Mechanics, Transactions ASME

Volumn 64, Issue 3, 1997, Pages 664-669

  Ren, Y J ^a   Elishakoff, I ^a   Shinozuka, M ^b  

^a Florida Atlantic Univ   (United States)

^b University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040492134     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2788944     Document Type: Article

References (9)

1. Elishakoff, I., Reri, Y., and Shinozuka, M., 1995, “Some exact solutions for bending of beams with spatially stochastic stiffness,” International Journal of Solid and Structures, Vol. 32, No. 16, pp. 2315-2327.
2. Elishakoff, I., Ren, Y., and Shinozuka, M., 1996, “Variational principles developed for and applied to analysis of stochastic beams,” Journal of Engineering Mechanics, Vol. 126, No. 6, pp. 559-565.
3. Ghanem, R. G., and Spanos, P. D., 1991, Stochastic Finite Elements: A Spectral Approach, Springer-Verlag, New York.
4. Johnson, M. E., 1987, Multivariate Statistical Simulation, John Wiley and Sons, New York.
5. Hien, T. D., and Kleiber, M., 1990, “Finite element analysis based on stochastic Hamilton variational principle,” Computer &Structures, Vol. 37, No. 6, pp. 893-902.
6. Hu, H. C., 1981, Variational Principles of Theory of Elasticity with Applications, Science Press, Beijing, China.
7. Kleiber, M., and Hien, T. D., 1993, Stochastic Finite Element Method. John Wiley and Sons, New York.
8. Liu, W. K., Mani, A., and Besterfield, G., and Belytschko, T., 1988, “Variational Approach to Probabilistic Finite Elements,” Journal of Engineering Mechanics, Vol. 114, pp. 2115-2133.
9. Nakagiri, S., and Hisada, T., 1985, An Introduction to Stochastic Finite Element Method: Analysis of Uncertain Structures, BaiFuKan, Tokyo, Japan (in Japanese).