Robustness of a Complex System: Double-Stage Gearing System, with GPC and MC Methods

This publication is based on research into the robustness of a complex system. Complexity can be explained by its multi-element structures and deals with the interaction of parameters and investigations. To study the robustness of a complex system, a 12-DDL two-stage spur gear transmission is established. Gearbox systems are characterized mainly by their high noise and vibration levels. We apply the multi-variable uncertainty consideration to examine the dynamic behavior of the gearbox. This study aims to achieve consistent dynamic responses for several purposes, including overall efficiency. This study compares the effect of taking into account the uncertainty to the study of the dynamic transmission ratio of the system compared with its effect on the dynamic behavior of linear displacements as well as the orbital diagrams on the 3 axes of the system. The purpose is to achieve high-accuracy curves arising from taking into account the uncertainty through the probabilistic method of generalized Polynomial Chaos (GPC) and the deterministic method of Monte Carlo (MC). This accuracy enables the proof of the probabilistic results.