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Reliability Analysis

The reliability analysis in optiSLang provides powerful numerical algorithms for the determination of small violation probabilities (less than 1 out of 1000). Thus, a reliability analysis allows a necessary final verification of small probabilities of failure after the conduction of a robustness evaluation or Robust Design Optimization (RDO).

Methods

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Adaptive approximation of the state function using adaptive sampling

  • Robustness evaluation for the approximation of violation probabilities and for the identification of important random variables as the basis for an appropriate selection of methods regarding a reliability analysis
  • Definition of one or various failure mechanisms using limit state functions
  • Recommendation of verifying low probabilities of failure with two alternative algorithms of reliability analysis

Process Integration

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Application of directional sampling procedure

  • First Order Reliability Method (FORM) and Importance Sampling (ISPUD) for continuously differentiable limit state functions
  • Directional Sampling and Adaptive Sampling (AS) for a moderate number of random variables, multiple failure mechanisms and small probabilities of failure
  • Adaptive Response Surface Method (ARSM) as most efficient strategy for less than 20 random variables

Postprocessing & Visualization

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  • Histograms
  • 2D/3D anthill plots
  • History plots
  • Violation probabilities

Practical Application Examples

 

 

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