الفهرس 
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Abstract
Bevel gears are widely used in important power transmission applications. These include automotive, aviation, marine, and industrial applications. The aim of this thesis is to study the manufacturability of spiral bevel gears with a new tooth profile. This profile, named circular arc, will guarantee higher load carrying capacity, higher power transmission efficiency, and longer operating life. A mathematical model is proposed for spiral bevel gears having circular arc tooth profile, where all gear geometry calculations are performed using MATLAB. The mathematical model includes spiral bevel gears from both Gleason and Klingelnberg manufacturing systems. The solution for the meshing constraint equation of gears with intersecting axes is taken in consideration in gear geometry calculations to guarantee the conjugate action between pinion and gear teeth. The proposed mathematical model is then validated using CATIA through solid modelling of different gear designs. These design trials included different values of various design parameters of spiral bevel gears to ensure that the mathematical model is valid for different design cases. This validation is completed with an interference check performed through dynamic simulation of meshing a gear pair through CATIA.
Finally, complete working drawing is produced for both pinion and gear using CATIA. This drawing includes all the required information for the manufacturing process of the gear pair. Two models, one pair for Gleason and another for Klingelnberg, are used to ensure the validity of the modelling proposed and they were manufactured successfully using 4 axes CNC milling machine.