Extension of convex models and its improvement on the approximate solution

Acta Mechanica Sinica/Lixue Xuebao

Volumn 12, Issue 4, 1996, Pages 349-357

  Zhiping, Qiu ^a   Yuanxian, Gu ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Convex modeling; First order approximation; Nonconvexity; Perturbation; Uncertain but bounded parameters

Indexed keywords

NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES;

APPROXIMATE SOLUTION; CONVEX MODELING; NONCONVEXITY; UNCERTAINTY;

MATHEMATICAL MODELS;

EID: 0030282327     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02487800     Document Type: Article

References (12)

1. Ben-Haim Y, Elishakoff I. Convex Models of Uncertainty in Applied Mechanics. Amsterdam: Elsevier Science Publishers, 1990.
2. Ben-Haim Y, Elishakoff I. Non-probabilistic models of uncertainty in the non-linear buckling of shells with general imperfections: theoretical estimates of the knockdown factor. ASME Journal of Applied Mechanics, 1989a, 111: 403-410
3. Ben-Haim Y, Elishakoff I. Convex models of vehicle response to uncertain-but-bounded terrain. ASME Pressure Vessel and Piping Conference, (1989b), Honolulu, Hawaii, June, 1989.
4. Givoli D, Elishakoff I. Stress concentration at a nearly circular hole with uncertain irregularities. ASME Paper 91-WA/APM-22, Journal of Applied Mechanics, 1992, 59: 65-71
5. Elishakoff I, Li YW, Starnes Jr JH. A deterministic method to predict the effect of unknownbut-bounded elastic moduli on the buckling of composite structures. Computer Methods in Applied Mechanics and Engineering, 1994, 111: 155-167
6. Elishakoff I, Haftka RT, Fang JJ. Structural design under bounded uncertainty optimization with antioptimization. Int Journal of Computer and Structures, 1995 (to appear)
7. Elishakoff I, Eliseef P, Glegg S. Convex modeling of material uncertainty in vibrations of a viscoelastic structure. AIAA Journal, 1994, 32: 843-849
8. Elishakoff I, Fang JJ. Diagnosis of local modifications in the boundary conditions of a rectangular plate. Computer Methods in Applied Mechanics and Engineering, 1995, 124: 303-319
9. Elishakoff I, Cai GQ, Starnes Jr JH. Non-linear buckling of a column with initial imperfection via stochastic and non-probabilistic convex models. Int J .Non-Linear Mechanics, 1994, 29: 71-82
10. Elishakoff I. Essay on uncertainties in elastic and viscoelastic structures: from A.M.Freulenthol's criticisms to modern convex modeling. Technical Report, Center for Applied Stochastics Research, Florida Atlantic University, Dec., 1993 (to appear: International Journal of Computer and Structures, 1995).
11. Elishakoff I. Convex modeling-a generalized of interval analysis for non-probabilistic treatment of uncertainty. International Journal of Reliable Computing, Supplement, 1995, 76-79
12. Jones RM. Mechanics of Composite Materials. Scripta Book Co., 1979