Non-probabilistic set-based model for structural reliability

Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics

Volumn 39, Issue 5, 2007, Pages 641-646

  Wang, Xiaojun ^a   Qiu, Zhiping ^a   Wu, Zhe ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

Compatibility; Non probabilistic measurement; Non probabilistic set based reliability model; Non probabilistic set based stress strength interference model; Structural reliability

Indexed keywords

FAILURE (MECHANICAL); FUZZY SETS; RELIABILITY ANALYSIS; STRENGTH OF MATERIALS; STRESS ANALYSIS;

COMPATIBILITY; NONPROBABILISTIC MEASUREMENT; NONPROBABILISTIC SET-BASED RELIABILITY MODEL; NONPROBABILISTIC SET-BASED STRESS-STRENGTH INTERFERENCE MODEL; STRUCTURAL RELIABILITY;

STRUCTURAL ANALYSIS;

EID: 35548950299     PISSN: 04591879     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. Wang Guangyuan. On the development of uncertain structural mechanics. Advances in Mechanics, 2002, 32(2): 205-211 (in Chinese)
2. Elishakoff I. Three versions of the finite element method based on concepts of either stochasticity, fuzziness or anti-optimization. Applied Mechanics Review, 1998, 51(3): 209-218
3. Ben-Haim Y, Elishakoff I. Convex Models of Uncertainty in Applied Mechanics. Amsterdam: Elsevier Science Publisher, 1990
4. Ben-Haim Y. A non-probabilistic concept of reliability. Structural Safety, 1994, 14: 227-245
5. Elishakoff I. Discussion on: A non-probabilistic concept of reliability. Structural Safety, 1995, 17(3): 195-199
6. Qiu ZP, Mueller PC, Frommer A. The new non-probabilistic criterion of failure for dynamical systems based on convex models. Mathematical and Computer Modelling, 2004, 40(1-2): 201-215
7. Qiu Zhiping, Chen Shanqi, Wang Xiaojun. Criterion of the non-probabilistic robust reliability for structures. Chinese Journal of Computational Mechanics, 2004, 21(1): 1-6 (in Chinese)
8. Wang Xiaojun, Qiu Zhiping. Robust reliability of structural vibration. Journal of Beijing University of Aeronautics and Astronautics, 2003, 29(11): 1006-1010 (in Chinese)
9. Guo Shuxiang, Lu Zhenzhou, Feng Yuansheng. A non-probabilistic model of structural reliability based on interval analysis. Chinese Journal of Computational Mechanics, 2001, 18(1): 56-60 (in Chinese)
10. Qiu Zhiping. Convex Method Based on Non-probabilistic Set-theory and Its Application. Beijing: National Defence Industry Press, 2005 (in Chinese)
11. Moore RE. Methods and Applications of Interval Analysis. London: Prentice-Hall, Inc, 1979
12. Alefeld G, Herzberger J. Introductions to Interval Computations. New York: Academic Press, 1983
13. Qiu ZP, Wang XJ. Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis. International Journal of Solids and Structures, 2005, 42(18-19): 4970-4985
14. Qiu ZP, Wang XJ. Interval analysis method and convex models for impulsive response of structures with uncertain-but-bounded external loads. Acta Mechanica Sinica, 2006, 22: 265-276