Sensitivity-oriented dynamic analysis of worm gear transmissions for noise and vibration assessment

Worm gear transmissions are widely used for compactness and high reduction ratios, but their complex dy- namic behavior, driven by multi-directional compliance, contact non-linearities, and load-dependent mesh- ing necessitates advanced modeling for NVH optimization. This work presents a lumped parameter model with translational and rotational degrees of freedom, incorporating non-linear internal excitations with time- varying meshing stiffness and friction-induced forces. Through parametric exploration, the study investigates how friction coefficient and meshing stiffness influence dynamic response, evaluated via transmission error and bearing reaction forces. Results identify critical parameters governing vibration behavior, supporting early-stage NVH design and optimization while reducing reliance on costly experimental iterations.