Helical Gear (Simplified and 3D Contact)

If Simplified method is selected, the following options will be displayed:

Module (Normal Plane)

Enter a value for the module expressed in the normal plane (MN). The module is the pitch diameter divided by the number of teeth.

Pressure Angle (Normal Plane)

Enter a nominal pressure angle (α) in current modelling Units (default value = 20.0 deg) expressed in the normal plane. The angle between the line of action and the common tangent to the pitch circles at the pitch point is the pressure angle.

Helix Angle (at pitch circle)

Enter a value for the helix angle (beta) in current modelling Units expressed at the pitch circle. Note that the sign of the helix angle will decide the rotation of the helicoid (right/left).

Axis of Rotation

Axis of Rotation of Gear 1 and Gear 2 can be one of the following:

Name

Enter the name for Gear 1 and Gear 2.

Center Location

Enter the coordinates or Pick (Markers, View location and so on.)

No. of Teeth

Enter the number of teeth (Z) for Gear 1 and Gear 2.

Gear Width

Enter the face width for Gear 1 and Gear 2 (only used for graphics).

Bore Radius/Ring Radius

Enter the radius for the hole in the external gear or outer radius for internal gears.

Hand of Helix

Geometry Settings

Module (Normal Plane)

Enter a value for the module expressed in the normal plane (MN). The module is the pitch diameter divided by the number of teeth.

Pressure Angle (Normal Plane)

Enter a nominal pressure angle (α) in current modelling Units (default value = 20.0 deg) expressed in the normal plane. The angle between the line of action and the common tangent to the pitch circles at the pitch point is the pressure angle.

Axis of Rotation

Axis of Rotation of Gear 1 and Gear 2 can be one of the following:

Name

Enter the name for Gear 1 and Gear 2.

Center Location

Enter the coordinates or Pick (Markers, View location and so on.)

No. of Teeth

Enter the number of teeth (Z) for Gear 1 and Gear 2.

Gear Width

Enter the face width for Gear 1 and Gear 2 (only used for graphics).

Bore Radius/Ring Radius

Enter the radius for the hole in the external gear or outer radius for internal gears.

Hand of Helix

Profile

Select how the involute profile should be described using the Standard Involute Profile parameters (Profile Shifting, Addendum Factor and Dedendum Factor) or if the parameters for the Modified Involute Profile (Tip Radius, Root Radius and Tooth Thickness) should be used.

If you select Standard Profile, the following three options will be displayed:

Profile Shift Coeff.

Enter a value for the Profile Shift Coefficient (Addendum Modification Coefficient) for the gear (positive or negative value). Default value = 0.0. If this field is left blank, no profile shifting will be used.

Addendum Factor

Enter a value for the Addendum Factor (default value = 1.0). The Addendum Factor is used to calculate the Addendum:

Addendum (Normal) = Module (Normal) * Addendum Factor

Dedendum Factor

Enter a value for the Dedendum Factor (default value = 1.25). The Dedendum Factor is used to calculate the Dedendum:

Dedendum (Normal) = Module (Normal) * Dedendum Factor

If you select Modified Profile, the following three options available:

Tooth Thickness (along the pitch circle)

Enter a value for the tooth thickness at the pitch circle in the transversal plane. Must be less than 10 times the value of module. For module = 2, tooth thickness needs to be <20, not 0.2.

Tip (Outside) Radius

Enter a value for the tip radius. For an external gear this is the outermost radius, for an internal gear the innermost. The addendum circle, or outside circle, is the circle that contains the tips of the teeth, and its radius is the outside radius (tip radius). In the database navigator this will appear as 'tip_rad'.

Root Radius

Enter a value for the root radius. The dedendum circle, or root circle, is the circle that contains the ends of the tooth spaces, and its radius is the root radius (foot radius). In the database navigator this will appear as 'foot_rad'.

Tip Relief Start

Tip relief is a modification of a tooth profile whereby a small amount of material is removed near the tip of the gear tooth.

The Tip Relief Start parameter defines the position on the tooth at which the Tip Relief will start. The resulting starting radius on the gear will be:

The Module (Transverse), MT is defined as below:

If the gear is defined by Standard Involute Profile, the Tip Radius is defined as below:

Tip Relief Coefficient

This coefficient defines the maximum Tip Relief reached at the Tip Radius of the gear. The Tip Relief is defined by:

The tip relief will have zero value at the Tip Relief Start point and increase linearly out to the Tip Radius.

Crown Magnitude

Crowning is the removal of a slight amount of tooth from the center on out to reach edge, making the tooth surface slightly convex. This method allows the gear to maintain contact in the central region of the tooth and permits avoidance of edge contact with consequent lower load capacity. Crowning also allows a greater tolerance in the misalignment of gears in their assembly, maintaining central contact.

The crown magnitude is reached at the edges of the tooth and crowning is zero at the center of the tooth. The crowning is described as an arc.

The Crown Magnitude is entered in length units.

Geometry Settings