Abstract

RODRIGUEZ-CALDERON, Wilson; PALLARES-MUNOZ, Myriam-Rocío  and  JURADO-CABANES, Carlos. ADVANCING PROBABILISTIC FRAME ANALYSIS: A COMPREHENSIVE APPROACH USING MONTE CARLO SIMULATION AND RESPONSE SURFACES. Rev. Fac. ing. [online]. 2024, vol.33, n.69, e17855.  Epub Aug 29, 2024. ISSN 0121-1129.  https://doi.org/10.19053/01211129.v33.n69.2024.17855.

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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