Flexibility-based finite element analysis for structures with random material properties

Journal of Applied Mechanics, Transactions ASME

Volumn 65, Issue 4, 1998, Pages 908-913

  Ren, Yongjian ^a   Elishakoff, I ^a  

^a FAMU FSU COLLEGE OF ENGINEERING   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009985976     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2791934     Document Type: Article

References (12)

1. Elishakoff, I., and Ren, Y. J., 1998, “The bird’s eye view on finite element method for stochastic structures,” Computer Methods in Applied Mechanics and Engineering, to appear.
2. Elishakoff, I., Ren, Y. J., and Shinozuka, M., 1996a, “Variational principles developed for and applied to analysis of stochastic beams,” Journal of Engineering Mechanics, pp. 559-565.
3. Elishakoff, I., Ren, Y. J and Shinozuka, M., 1996b, “Some thoughts and attendant new results in finite element method for stochastic structures,” Chaos, Solitons, &Fractals, Vol. 7, pp. 597-609.
4. Elishakoff, I., Ren, Y. J., Shinozuka, M., 1997, “New formulation of FEM for deterministic and stochastic beams through a generalization of Fuch’s approach,” Computer Methods in Applied Mechanics and Engineering, Vol. 144, 235-243.
5. Fuchs, M. B., 1991, “Unimodal Beam Elements,” International Journal of Solids and Structures, Vol. 27, pp. 533-545.
6. Ghanem, R. G., and Spanos, P. D., 1991, Stochastic Finite Elements: A Spectral Approach, Springer-Verlag, New York.
7. Kleiber, M., and Hien, T. D., 1993, Stochastic Finite Element Method, John Wiley and Sons, New York.
8. Nakagiri, S., and Hisada, T., 1985, An Introduction to Stochastic Finite Element Method: Analysis of Uncertain Structures, BaiFuKan, Tokyo (in Japanese).
9. Ren, Y. J., Elishakoff, I., and Shinozuka, M., 1995, “Conditional simulation of non-Gaussian random fields for earthquake monitoring systems,” Interdisciplinary Journal of Nonlinear Science: Chaos, Solitons &Fractals, Vol. 5, pp. 91-101.
10. Ren, Y. J., Elishakoff, I., and Shinozuka, M., 1996, “Finite Element Method for Stochastic Beams Based on Variational Principles,” ASME Journal of Applied Mechanics, Vol. 63, pp. 758-766.
11. Shinozuka, M., and Yamazaki, F., 1988, “Stochastic Finite Element Analysis: An Introduction,” Stochastic Dynamics, S. T. Ariaratnam et al., eds., Elsevier Applied Science, London, pp. 241-291.
12. Yanazaki, F., and Shinozuka, M., 1988, “Digital Generation of non-Gaussian stochastic fields,” Journal of Engineering Mechanics, Vol. 114, pp. 1183-1197.