Interval optimization for uncertain structures

Finite Elements in Analysis and Design

Volumn 40, Issue 11, 2004, Pages 1379-1398

  Chen, Su Huan ^a   Wu, Jie ^a   Chen, Yu Dong ^a  

^a JILIN UNIVERSITY   (China)

Author keywords

Interval dynamic response; Interval extension of function; Interval optimization; Interval parameter; Interval parameter system; Linear torsional vibration system

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); OPTIMIZATION; PARAMETER ESTIMATION; PROBABILITY; PROBLEM SOLVING; VIBRATIONS (MECHANICAL);

INTERVAL OPTIMIZATION; UNCERTAIN STRUCTURES;

STRUCTURAL ANALYSIS;

EID: 2442488540     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2003.09.006     Document Type: Article

References (11)

1. Adeli H., Cheng N.T. Augmented Lagrangian genetic algorithm for structural optimization. J. Aerospace Eng. 7:1994;104-118.
2. Al-Salloum Y.A., Siddigi G.H. Cost-optimum design of reinforced concrete beams. ACI Struct. J. 91:1994;647-655.
3. Arora J.S., Elwakeil O.A., Chahande A.I., Hsieh C.C. Global optimization methods for engineering applications A Review. Struct. Optim. 9:1994;137-159.
4. Bental A., Zibulevsky M. Penalty/barrier multiplier methods for convex programming problems. SIAM J. Optim. 7:1997;347-366.
5. Cohn M.Z., Lounis Z. Optimum limit design of continuous prestressed concrete beams. J. Struct. Eng. ASCE. 119:1992;3551-3570.
6. Moore R.E. Methods and Applications of Interval Analysis. 1979;SIAM, Philadelphia.
7. Alefeld G., Herzberger J. Introductions to Interval Computations. 1983;Academic Press, New York.
8. Hansen E. Global Optimization Using Interval Analysis. 1992;Marcel Dekker, New York.
9. Chen S.H., Lian H.D., Yang X.W. Interval static displacement analysis for structures with interval parameters. Int. J. Numer. Meth. Eng. 53(2):2002;393-407.
10. Chen S.H., Yang X.W. Interval finite element method for beam structures. Finite Element Anal. Des. 34(1):2000;75-88.
11. Chen S.H., Lian H.D. Dynamic response analysis for structures with interval parameters. Struct. Eng. Mech. 13(2):2002;299-312.