Structural Reliability and Sensitivity Analysis Program Based on Limit State Equations

<p>Based on limit state equations, this program calculates structural reliability and sensitivity through computational methods. The reliability analysis process requires consideration of structural mass, material strength, and load characteristics, typically implemented using Monte Carlo simulations or First/Second Order Reliability Methods (FORM/SORM). The program includes optimization algorithms for structural design improvements to enhance reliability. For sensitivity analysis, the code employs gradient-based methods or variance-based techniques (e.g., Sobol indices) to quantify how different factors influence structural reliability, providing critical references for design optimization and structural enhancements. The implementation requires comprehensive incorporation of various structural parameters through systematic parameterization and probabilistic modeling to ensure stability and reliability in the computational results. Key functions include limit state function evaluation, probabilistic distribution handling, and sensitivity coefficient calculation modules.</p>