Abstract
The process of designing and analyzing the performance of spiral-bevel and hypoid gear sets requires a compact description of the gear set deflections under load. Three translational deflections E, P, G, and one angular deflection α are traditionally used to uniquely specify the relative orientation of a single spiral-bevel or hypoid pair.The movement of the contact pattern correlates strongly with these deflections, but only if the deflections E, P, G, α represent local deformations in the vicinity of the contacting teeth, rather than global deflections.It is possible to compute E, P, G, α that better represent the local deformations. This paper provides the mathematical basis for extracting the E, P, G and α numbers from a dispersed Finite Element nodal field.The assumptions and mathematics of the regression process, and its limitations are presented. An examples of its application to a flexible hypoid gear pair is shown.
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