Journal article
Structural reliability analysis by univariate decomposition and numerical integration
Probabilistic engineering mechanics, Vol.22(1), pp.27-38
2007
DOI: 10.1016/j.probengmech.2006.05.004
Abstract
This paper presents a new and alternative univariate method for predicting component reliability of mechanical systems subject to random loads, material properties, and geometry. The method involves novel function decomposition at a most probable point that facilitates the univariate approximation of a general multivariate function in the rotated Gaussian space and one-dimensional integrations for calculating the failure probability. Based on linear and quadratic approximations of the univariate component function in the direction of the most probable point, two mathematical expressions of the failure probability have been derived. In both expressions, the proposed effort in evaluating the failure probability involves calculating conditional responses at a selected input determined by sample points and Gauss–Hermite integration points. Numerical results indicate that the proposed method provides accurate and computationally efficient estimates of the probability of failure.
Details
- Title: Subtitle
- Structural reliability analysis by univariate decomposition and numerical integration
- Creators
- D WEI - Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United StatesS RAHMAN - Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United States
- Resource Type
- Journal article
- Publication Details
- Probabilistic engineering mechanics, Vol.22(1), pp.27-38
- Publisher
- Elsevier Science; Oxford
- DOI
- 10.1016/j.probengmech.2006.05.004
- ISSN
- 0266-8920
- eISSN
- 1878-4275
- Language
- English
- Date published
- 2007
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064211002771
Metrics
11 Record Views