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Example 22


0. Example 22

1. Steps to prepare this example in BI (before analysis)

2. Prepare for Fast Integration Analysis

3. Prepare for Poisson Point Process Analysis

4. References


0. Example 22

This example has a limit state function in physical space as Eq. (1) [1].

1. Steps to prepare this example in BI (before analysis):

1.1 Generate Random Variable object: Define > Variable > RandomVariable

1.2 Generate Time Function object: Define > Time Function

1.3 Generate Landa Function object: Define > Landa Function

1.4 Generate Limit State Function object: Define > Limit State Function

1.5 Generate Nataf Transformation object: Analysis > Transformer

1.6 Generate Convergence Checker object: Analysis > Convergence Checker

1.7 Generate Step Direction Searcher object: Analysis > Step Direction Searcher

1.8 Generate Merit Checker object: Analysis > Merit Checker

1.9 Generate Step Size Searcher object: Analysis > Step Size Searcher

In this part, you need to insert name of previous object, which is created in steps 1.8.

1.10 Generate Solver object: Analysis > Solver

In this part, you need to insert names of previous objects, which are created in steps 1.5, 1.6, 1.7, and 1.9.

1.11 Generate Output object: Analysis > Output

1.12 Generate FORM Analysis object: Analysis > FORM Analysis

2. Prepare for Fast Integration Analysis

2.1 Generate Output object: Analysis > Output

2.2 Generate Fast Integration Analysis object: Analysis > Fast Integration

2.3 Show Plot and Text result of each method:

3. Prepare for Poisson Point Process Analysis

3.1 Generate Output object: Analysis > Output

3.2 Generate Random Number Generator object: Analysis > Random Number Gen

3.3 Generate Accumulator (Failure Probability) object: Analysis > Accumulator

3.4 Generate Output object: Analysis > Poisson Point Process

3.5 Show Plot and Text result of each method:

4. References

[1] Lu ZH, Leng Y, Dong Y, Cai CH, Zhao YG. Fast integration algorithms for time-dependent structural reliability analysis considering correlated random variables. Struct Saf 2019;78:23–32. https://doi.org/10.1016/j.strusafe.2018.12.001.