Resonance Conditions of Gearings. Part I: Analytical Calculation of Resonance Frequencies

Abstract

Methods of analytical calculation of resonance conditions of the gearings stipulated by two major factors - periodic change of rigidity of teeth on a phase of engagement and an impact teeth input in engagement in connection with inaccuracy of manufacture and mounting of gears, and also an elastic strain of teeth under loading are considered. Researches were carried out on the dynamic model considering only torsional oscillations of gears. Influence of damping on the resonance phenomena in gearings is studied.

Keywords

• resonance conditions
• periodic change of rigidity
• elastic strain of teeth
• dynamic model
• torsional oscillations of gears