Abstract
This article presents a stochastic computational model for the analysis of the reliability of a drawn steel bar. The whole distribution of the limit state function is studied using global sensitivity analysis based on Cramér-von Mises distance. The algorithm for estimating the sensitivity indices is based on one loop of the Latin Hypercube Sampling method in combination with numerical integration. The algorithm is effective due to the approximation of resistance using a threeparameter lognormal distribution. Goodness-of-fit tests and other comparative studies demonstrate the significant accuracy and suitability of the three-parameter lognormal distribution, which provides better results and faster response than sampling-based methods. Global sensitivity analysis is evaluated for two load cases with proven dominant effect of the long-term variation load action, which is introduced using Gumbel probability density function. The Cramér-von Mises indices are discussed in the context of other types of probability-oriented sensitivity indices whose performance has been studied earlier.
Highlights
Reliability is described as the ability of a system or component to function under stated conditions for a specified period of time [1, 2]
The methodology of stochastic reliability analysis, which consists of the probabilistic analysis of failure and global sensitivity analysis, is described in this article
In the presented case study, resistance is a function of the product of three random variables with Gauss probability density functions, load action is a function of the sum of two random variables
Summary
Reliability is described as the ability of a system or component to function under stated conditions for a specified period of time [1, 2]. Structural reliability is assessed using methods of probabilistic analysis [3]. Structural sensitivity analysis is a suitable complement to probabilistic reliability analysis [4]. The basic measure of reliability is the probability that failure of a load-bearing structure does not occur [5]. The most serious failure is loss of load-carrying capacity of a component or member within a structure or of the structure itself, see for e.g. Failure of a structure occurs when the material in the structure is stressed to its strength limit [7]. Stresses cannot be directly investigated experimentally, limit states can be investigated by measuring permanent deformations or observing fractures [8]
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