In modeling the bevel gear, the angles were created by calculating the teeth. Were found the right gear bevel features three sets of equations defining. Defined the profile tooth on the rear of the appliance using spur gear equivalent as defined by Tregold “s approximation. Used the profile tooth involute to create this sketch.
To make a bevel gear are some steps that are important to follow. Ensures the steps that the geometries should be done after the equations governing. Once the parameters are calculated using the equations to define, can the equipment be interpreted. All of the parameters required to model The bevel gear included in this section. Gears bevel are designed always in sets matching, therefore, the equations for the gear and the pinion 23 is necessary. Only the equations of the appliance shown in this chapter. Equations The pinion and bevel gear all other geometric parameters in Appendix 7.2. To start with bevel gear, you will first make a sketch of the bevel gear profile. To begin, draw a centerline through the origin. Off the top point of the center line drawn through the building line. The lines represent angle pitch angle, face angle and roots.
Pitch Angle: Γ = Σ-Υ (Eq. 10)
Face Angle: Γo = Γ + δG (Eq. 9)
Root Angle: ΓR = Γ-δG (Eq. 11)
In the equations above represents Σ angle shaft represents Υ the The pinion angle, and represents the angle δG the gear dedendum. Using the parameters defined by the equations governing, giving each line of right angle relative to the center line. Refer to figure 13 to fully define how the profile bevel gear. The width is defined per equation 12, where the distance showing Ao outer cone.
Face width: F = Ao / 3 (Eq.12)