Abstract
In this paper, the random interval equilibrium equations (RIEE) is obtained by λ-level cutting the fuzzy-stochastic finite element equilibrium equations (FSFEEE). Based on the relations between the variables of equilibrium equations, solving RIEE is transformed into solving two kinds of general random equilibrium equaltions (GREE). Then the recursive equations of evaluating the random interval displacement is derived from the small-parameter perturbation theory. The computational formulae of statistical characteristic of the fuzzy random displacements, the fuzzy random strains and the fuzzy random stresses are also deduced in detail.
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References
Chen Qiu and Liu Xianbin, Stochastic Finite Element Method and Its Application to Engineering, Southwest Jiaotong University Press (1993), 78–87. (in Chinese)
Wang Caihua and Zhu Hengshan, An algorithm for structural fuzzy equilibrium equations based on the L-R type fuzzy number compution laws, Proceedings of 3rd Conference on Fuzzy Analysis and Design, Architectural and Civil Industry Press of China (1993), 35–38. (in Chinese)
Wang Guangyuan and Ou Jingping, Fuzzy random vibrate of structures subjected to earthquake, Acta Mechanica Sinica, 2, 20 (1988), 173–180. (in Chinese)
Zhang Yue, Fuzzy random variable, J. Harbin Archit. & Civ. Inst., 22, 3 (1989), 12–21. (in Chinese)
Zhang Yue, Fuzzy random vector, J. Harbin Archit. & Civ. Inst., 22, 4 (1989), 27–41. (in Chinese)
Lü Enling, A new solution to structural fuzzy finite element equilibrium equations (SFFEEE), Applied Mathematics and Mechanics (English Ed.), 18, 4 (1997), 385–391.
D. Dubois and H. Prade, Fuzzy Sets and System: Theory and Applications, Academic Press, New York (1980).
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Communicated by Zhang Ruqing
Project supported by the National Natural Science Foundation of China
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Enling, L. Perturbational solutions for fuzzy-stochastic finite element equilibrium equations (FSFEEE). Appl Math Mech 18, 679–687 (1997). https://doi.org/10.1007/BF00127016
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DOI: https://doi.org/10.1007/BF00127016