Effects of Uncertain Parameters on the Dynamic Response of a Wind Turbine Gearbox

Producing reliable gear systems for wind turbines involves accounting for multiple uncer-tain parameters. To ensure that vibrations during operation remain controlled, it is essen-tial to analyze how sensitive the system is to these uncertainties. This study investigates the dynamic response of a two-stage wind turbine gearbox, considering variation in seven key system variables. The goal is to evaluate the system’s reliability through the bearing displacement analysis. A 12-DOF concentrated-parameter model is proposed to account for uncertainties in gear mass, damping, and the inertias of the pinion, gear, and input shaft. The dynamic response is examined using Polynomial Chaos Expansion (PCE) across different orders and standard deviations, with results validated through Monte Carlo Simulation (MCS) using 100,000 samples. A custom MATLAB tool was developed to implement both approaches.