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Vol. 33 No. 69 (2024)
July-September 2024: Open Science at the Service of Engineering

Papers

Advancing Probabilistic Frame Analysis: A Comprehensive Approach Using Monte Carlo Simulation and Response Surfaces

https://doi.org/10.19053/uptc.01211129.v33.n69.2024.17855

Published 2024-08-29

Wilson Rodríguez-Calderón
Escuela Superior de Administración Pública image/svg+xml

Myriam-Rocío Pallares-Muñoz
South Colombian University image/svg+xml

Carlos Jurado-Cabañes
Universidad Politécnica de Madrid image/svg+xml

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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