HyperStudy

Reliability and Robustness Assessment

Reliability and Robustness Assessment

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Reliability and Robustness Assessment

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Computational methods to estimate reliability fall into two categories as analytical methods and sampling-based methods.

Analytical methods use sensitivity information and they construct approximations of the limit state. First-order reliability method (FORM), second-order reliability method (SORM), advanced mean value methods (AMV) are some of the popular analytical methods.
Sampling-based methods are also called Monte Carlo Methods. Sampling-based methods generate many random samples and evaluate whether performance function is violated. They typically use random numbers; the ones that do not use random numbers are called quasi Monte Carlo methods

In HyperStudy there are three sampling-based methods for reliability and robustness assessment. These are Simple random sampling, Latin hypercube sampling and Hammersley sampling. The first two are based on pseudo-random numbers whereas the last one is based on deterministic points. In this section, these three methods are explained after a description of parameter distributions types available in HyperStudy.

figure_6

Position of the sampling in the stochastic analysis

sampling

Illustration of the sampling