0. Example 24
This example has a limit state function in physical space as Eq. (1) .
1. Steps to prepare this example in BI (before analysis):
1.1 Generate Random Variable object: Define > Variable > RandomVariable
1.2 Generate Correlation Coefficient object: Define > Correlation
1.3 Generate Model object: Define > Model
1.4 Generate Response object: Define > Response
1.5 Generate Time Function object: Define > Time Function
1.6 Generate Landa Function object: Define > Landa Function
1.7 Generate Limit State Function object: Define > Limit State Function
1.8 Generate Nataf Transformation object: Analysis > Transformer
1.9 Generate Convergence Checker object: Analysis > Convergence Checker
1.10 Generate Step Direction Searcher object: Analysis > Step Direction Searcher
1.11 Generate Merit Checker object: Analysis > Merit Checker
1.12 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 1.11.
1.13 Generate Solver object: Analysis > Solver
In this part, you need to insert names of previous objects, which are created in steps 1.8, 1.9, 1.10, and 1.12.
1.14 Generate Output object: Analysis > Output
1.15 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:
 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.