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

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

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

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

Practical Application Examples

Robust Design and Reliability Analysis of an Electromagnetic Actuator System

Simulation and optimization methods for reliability analysis

Methods of Reliability Analysis in the context of RDO

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