Advancing Probabilistic Frame Analysis: A Comprehensive Approach Using Monte Carlo Simulation and Response Surfaces
![](https://revistas.uptc.edu.co/public/journals/15/cover_issue_959_en_US.jpg)
Abstract
An ANSYS-based probabilistic finite element analysis has been created, expanding Haldar and Mahadevan’s canonical frame approach. The model is parameterized with eleven random variables, including applied loads, cross-section properties, member lengths, elastic modulus, and limit horizontal displacement. The sensitivity of these variables is analyzed, and the structure’s failure probability is evaluated using a limit state function for horizontal displacement. Monte Carlo (MC), Monte Carlo with Latin Hypercube sampling (MCLH), and Linear and Quadratic Response Surface (RSM-LIN and RSM-QUAX) methods analyze structural reliability; RSM methods achieved the lowest computational costs. The results are conclusive and future applications involving nonlinearity, dynamic loading, and other extreme scenarios are predicted.
Keywords
design of experiments, finite element, Monte Carlo methods, probabilistic sensitivities, response surface method, structural reliability
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