Mathematical model of spiral bevel and hypoid gears manufactured by the modified roll method

Abstract

Based on grinding mechanism and machine-tool settings of the Gleason modified roll hypoid grinder, a mathematical model for the tooth geometry of spiral bevel and hypoid gears is developed. Since all the machine-tool settings and machine constants are involved in the proposed mathematical model, excellent correlation between the mathematical model and actual manufacturing machines can be obtained. An example is given to illustrate the application of the proposed mathematical model. Surface deviation between a real cut spiral bevel gear surface and the model surface is investigated. Bearing contacts and kinematic errors in the spiral bevel gear set are also studied. Copyright (C) 1996 Elsevier Science Ltd.