INTERVENING VARIABLES AND CONSTRAINT APPROXIMATIONS IN SAFETY INDEX AND FAILURE PROBABILITY-CALCULATIONS

被引：49

作者：

WANG, L

GRANDHI, RV

机构：

[1] Department of Mechanical and Materials Engineering, Wright State University, Dayton, 45435, OH

来源：

STRUCTURAL OPTIMIZATION | 1995年 / 10卷 / 01期

关键词：

D O I：

10.1007/BF01743688

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The emphasis of this paper is on developing suitable intervening variables and constraint approximations for structural reliability analysis. Traditionally, these procedures are used in structural optimization, whereas this research work adopts these concepts to safety index and failure probability computations. The use of these concepts enables the development of an efficient and stable iteration algorithm for identifying the most probable failure points (MPPs) of the limit state functions. An approximate second-order failure probability is calculated at this MPP with no extra computations of the limit state function and gradients. The efficiency and accuracy of the proposed algorithm are demonstrated by several examples with highly nonlinear, complex, explicit/implicit performance functions.

引用

页码：2 / 8

页数：7

共 14 条

[1]

Breitung K., Asymptotic approximations for multinormal integrals, J. Eng. Mech., ASCE, 110, pp. 357-366, (1984)

[2]

Cai G.Q., Elishakoff I., Refined second-order reliability analysis, J. Struct. Safety, 14, 4, pp. 267-276, (1994)

[3]

Hasofer A.M., Lind N.C., Exact and invariant secondmoment code format, J. Engng. Mech. Div., 100, 1 EM, pp. 111-121, (1974)

[4]

Koyluoglu K.U., Nielsen S.R.K., New approximations for SORM integrals, Structural Safety, 13, 4, pp. 235-246, (1994)

[5]

Liu, Der Kiureghian A., Optimization algorithms for structural reliability analysis, Report No. UCB/SESM-86/09, (1986)

[6]

Madsen H.O., Krenk S., Lind N.C., Methods of structural safety, (1986)

[7]

Melchers R.E., Structural reliability analysis and prediction, (1987)

[8]

Rackwitz R., Fiessler B., Structural reliability under combined load sequences, Comp. & Struct., 9, pp. 489-494, (1978)

[9]

Reddy M.V., Grandhi R.V., Hopkins D.A., Reliability based structural optimization: a simplified safety index approach, Comp. & Struct., 53, 6, pp. 1407-1418, (1994)

[10]

Sweeting T.J., Finn A.F., A Monte Carlo method based on first- and second-order reliability approximations, J. Struct. Safety, 11, 3-4, pp. 203-212, (1992)

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