It is well known that one of the main sources of vibration in a gearbox is the fluctuation of the motion of gears. In the whole gearbox signal, one of the most important part is the unsteady component of the relative angular motion of a pair of meshing gears. This inevitable motion error of gears can be described by static and dynamic motion errors. The static motion error is caused by the elastic deformation due to load, the deviation of a gear tooth from the ideal profile, and the misalignment and eccentricity due to manufacturing and assembly. The dynamic error is caused by the interaction among inertia, damping and external force of parts, which becomes more evident as the shaft speed becomes high. This paper presents the mathematical modelling of two meshing spur gears as a three mass and stiffness system which assumes two degree of freedom for each gear and the rotor. The mathematical model also incorporates the analytical formulation of a varying gear tooth stiffness. This varying tooth stiffness is taken from the involute geometry of the gear tooth profile.
Dynamic modelling of gears - Influences of gear tooth geometry
Dynamische Modellierung von Zahnrädern - Einfluß der Zahngeometrie
1996
5 Seiten, 4 Bilder, 15 Quellen
Conference paper
English
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