Structural system reliability quantification using multipoint function approximations

AIAA Journal

Volumn 40, Issue 12, 2002, Pages 2526-2531

  Penmetsa, Ravi C ^a   Grandhi, Ramana V ^a  

^a Wright State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FAILURE (MECHANICAL); FINITE ELEMENT METHOD; FUNCTIONS; INTEGRATION; MONTE CARLO METHODS; PROBABILITY; RELIABILITY;

FAILURE CRITERIA; FIRST ORDER RELIABILITY METHOD; MULTIPOINT FUNCTION APPROXIMATIONS; RELIABILITY ANALYSIS; STRUCTURAL SYSTEM RELIABILITY QUANTIFICATION;

AIRFRAMES;

EID: 0036944342     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.1597     Document Type: Article

References (12)

1. Melchers, R. E. Structural Reliability; Analysis and Prediction, Ellis Horwood, London, 1987, pp. 20-28.
2. Hasofer, A. M., and Lind, N. C., "Exact and Invariant Second-Moment Code Format," Journal of Engineering Mechanics, vol. 100, No. EM1, 1974, pp. 111-121.
3. Cornell, C. A., "Bounds on the Reliability of Structural Systems," Journal of Structures, Vol. 93, No. 1, 1967, pp. 171-200.
4. Penmetsa, R. C., Zhou, L., and Grandhi, R. V., "Efficient Estimation of Structural Reliability for Problems with Uncertain Intervals," Journal of Computers and Structures, Vol. 80, No. 12, 2002, pp. 1103-1112.
5. Rosenblatt, M., "Remarks on a Multivariate Transformation," Annals of Mathematical Statistics, Vol. 23, No. 3, 1952, pp. 470-472.
6. Ditlevsen, O., "Narrow Reliability Bounds for Structural System," Journal of Structural Mechanics, Vol. 7, No. 1, 1979, pp. 453-472.
7. Feng, Y., "A Method for Computing Structural System Reliability with High Accuracy," Computers and Structures, Vol. 33, No. 1, 1989, pp. 1-5.
8. Song, B. F., "A Numerical Integration Method in Affine Space and a Method with High Accuracy for Computing Structural System Reliability," Computers and Structures, Vol. 42, No. 2, 1996, pp. 255-262.
9. Wang, L. P., and Grandhi, R. V., "Improved Two-Point Function Approximations for Design Optimization," AIAA Journal, Vol. 33, No. 9, 1995, pp. 1720-1727.
10. Xu, S., and Grandhi, R. V., "Multi-Point Approximation for Reducing the Response Surface Model Development Cost in Optimization," International Journal for Numerical Methods in Engineering, Vol. 48, No. 8, 2000, pp. 1151-1164.
11. Wang, L. P., and Grandhi, R. V., "Safety Index Calculation Using Intervening Variables for Structural Reliability Analysis," Computers and Structures, Vol. 59, No. 6, 1996, pp. 1139-1148.
12. Vanderplaats, G. N., DOT User's Manual, Ver. 4.0, VMA Engineering, Colorado Springs, CO, 1993.