Uncertainty Quantification Code Written in MATLAB

Abstract

This research presents examples of MATLAB code for a classroom of uncertainty quantification. The codes are developed for educational purposes and newcomers or researchers. Demonstration codes are presented in form of a general design conditions. Examples are chosen from mechanical components, which are simply understood. The mechanical components are shafts, connecting rod, rear shaft housing, and bolt etc. The quantification techniques are in the group of probabilistic such as Monte Carlo Simulation (MCS) and Latin Hypercube Sampling (LHS). These examples can help the newcomers to understand the difficulty in uncertainty quantify and extend to calculate reliability value and probability of failure. Example computer codes are included in all parts.