Convex models and interval analysis method to predict the effect of uncertain-but-bounded parameters on the buckling of composite structures

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 18-20, 2005, Pages 2175-2189

  Qiu, Zhiping ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

Composite structures; Convex models; Interval analysis method; The buckling load; Uncertain but bounded parameters

Indexed keywords

BUCKLING; COMPUTATIONAL METHODS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBABILISTIC LOGICS; STRUCTURAL LOADS;

BUCKLING LOADS; CONVEX MODELS; INTERVAL ANALYSIS; STRUCTURAL PARAMETERS;

COMPOSITE STRUCTURES;

BUCKLING; COMPOSITE; MATHEMATICAL MODELING;

EID: 14944362054     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.07.018     Document Type: Article

References (15)

1. I. Elishakoff Y.W. Li J.H.A. Starnes Jr. Deterministic method to predict the effect of unknown-but-bounded elastic moduli on the buckling of composite structures Comput. Methods Appl. Mech. Engrg. 111 1994 155-167
2. Y. Ben-Haim I. Elishakoff Convex Models of Uncertainty in Applied Mechanics 1990 Elsevier
3. R.M. Jones Mechanics of Composite Materials 1975 Hemisphere Washington, DC
4. J.M. Whitney Structural analysis of laminated anisotropic plates Technomic 1987 151-156
5. P.R. Goggin The elastic constants carbon-fiber composite J. Mater. Sci. 8 1973 233-244
6. R.E. Moore Methods and Applications of Interval Analysis 1979 SIAM Philadelphia
7. G. Alefeld J. Herzberger Introductions to Interval Computations 1983 Academic Press New York
8. Y. Ben-Haim A non-probabilistic measure of reliability of linear systems based on expansion of convex models Struct. Saf. 17 1995 91-109
9. Z.P. Qiu S.H. Chen I. Elishakoff Natural frequencies of structures with uncertain but nonrandom parameters J. Optim. Theory Appl. 86 1995 669-683
10. S.S. Rao L. Cao Fuzzy boundary element method for the analysis of imprecisely defined systems AIAA J. 39 9 2001 1788-1797
11. C.P. Pantelides S. Ganerli Comparison of fuzzy set and convex model theories in structural design Mech. Syst. Process. 15 3 2001 499-511
12. S. Ganzerli C.P. Pantelides Optimum structural design via convex model superposition Comput. Struct. 74 6 2000 639-647
13. Z.P. Qiu I. Elishakoff Anti-optimization of structures with large uncertain-but-non-random parameters via interval analysis Comput. Methods Appl. Mech. Engrg. 152 1998 361-372
14. Z.P. Qiu Comparison of static response of structures using convex models and interval analysis method Int. J. Numer. Methods Engrg. 56 2003 1735-1753
15. Z.P. Qiu X.J. Wang Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach Int. J. Solids Struct. 40 20 2003 5423-5439