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Abstract
In this paper, a quasistatic finite element model of a spur gear pair is developed. A node-to-target contact formulation is given, where calculations of initial gaps are based upon the actual geometry of the gear flanks rather than upon a contact node and a facet or a line segment. By using a special contact search algorithm, profile modifications and mounting errors are easily incorporated in the analysis. The problem, which also includes friction, is solved by using a nonsmooth Newton method. The static transmission error can be calculated with accuracy with a relatively small number of nodes along the gear flanks. Several examples are given in order to demonstrate the model.
Acknowledgments
Notes
1This is not a requirement for the flanks on the gear.
2This is a useful formulation of Coulomb's friction law. That is, if −
= 0, then |p
it
| ≤ μp
in
, but if
−
≠ 0, then p
it
= μp
in
sgn(
−
).
3 [Xcirc] A = [Xcirc] A + û A .