The application of Monte Carlo simulation and finite element method in structural reliability of aircraft wing structures

Abstract

The aerospace industry increasingly demands performance and efficiency, therefore ensuring the structural integrity of aircraft components such as wings is crucial. In this context, reliability analysis methods offer a more robust assessment than classical deterministic approaches, once those consider the uncertainties present in the system. This work aims to determine the probability of failure of aircraft wing structures through the Monte Carlo Simulation (MCS), treating material properties and applied loads as random variables. Different profiles of wings were modeled in a computer-aided design (CAD) environment and their geometries were exported to MATLAB\textsuperscript{\textregistered}, where the limit state function was evaluated using the finite element method (FEM).