Impact of indexing errors on spur gear dynamics

A transverse-torsional dynamic model of a spur gear pair is employed to investigate the influence of gear tooth indexing errors on the dynamic response. This model includes periodically-time varying gear mesh stiffness and nonlinearities caused by tooth separations in resonance regions. With measured long-period quasi-static transmission error time traces as the primary excitation, the model predicts frequency-domain dynamic mesh force and dynamic transmission error spectra. The quasi-static transmission error time traces are measured using unity-ratio spur gear pairs having certain intentional indexing errors. The dynamic responses due to both deterministic and random teeth indexing errors are predicted.