14.4.5.6. Gears - Modification (External, Internal, Planetary)

The amount of tooth modification can be determined in the modification tab. The tooth modification may be a good method to increase the contact area and distribute a contact force. The modification is managed by the left flank and right flank separately .

Figure 14.144: Modification tab in designer

Modification tab in designer

Figure 14.145: Parameters in the Modification tab

ParameterDescription

Dimension

(Range)

1. Profile CrownUse to set the amount of profile crown. This value must be entered in units of 1/1000 of the system unit (for example, when the unit system is MMKS, if the input value is 100, this is calculated as 0.1mm).Length
2. Profile SlopeUse to set the amount of profile slope. This value must be entered in units of 1/1000 of the system unit.Length
3. Tip ReliefUse to set the amount of tip relief. This value must be entered in units of 1/1000 of the system unit.Length
4. Lead CrownUse to set the amount of lead crown. This value must be entered in units of 1/1000 of the system unit.Length
5. Lead SlopeUse to set the amount of lead slope. This value must be entered in units of 1/1000 of the system unit.Length
6. A point

Use to set the modification reference point (A)

Refer to Equation 14–4 ~ Equation 14–11.

N/A
7. B point

Use to set the modification reference point(B)

Refer to Equation 14–4 ~ Equation 14–11.

N/A
8. Z point

Use to set the modification reference point (Z).

Refer to Equation 14–4 ~ Equation 14–11.

N/A
9. Select GearSelect the gear to check.N/A
10. Type of modificationSelect the modification type.N/A
11. Side of gear flankSelect the flank to check.N/A
12. Position of modificationSelect the position to check.N/A
13. Chart of modificationDisplay the modification. X - axis is an amount of modification. Y- axis is a location number of involute.N/A

Figure 14.146: Definition of profile modification

Definition of profile modification

Figure 14.147: Modification definition

Modification definition

The reference points of A, B, and Z can be calculated using the following equations.

  • When using an external gear

    (14–3)

    (14–4)

    (14–5)

    (14–6)

    (14–7)

    (14–8)

    (14–9)

    (14–10)

    (14–11)

  • When using an internal gear

    (14–12)

    (14–13)

    (14–14)

    When using a ring gear, aw and z2 have a negative value.

    (14–15)

    (14–16)

    (14–17)

    (14–18)

    Where .

    (14–19)

    (14–20)

    (14–21)

    (14–22)

    (14–23)

    (14–24)

Where,

mt: Gear module (transverse)

mn: Gear module (normal)

da1: Outside diameter of gear 1

da2: Outside diameter of gear 2

db1: Base circle diameter of gear 1

db2: Base circle diameter of gear 2

dwp1: Pitch circle diameter of gear 1 (engaged)

dwp2: Pitch circle diameter of gear 2 (engaged)

αn: Pressure angle (normal)

αt: Pressure angle (transverse)

αwt: Pressure angle (engaged)

aw: Center distance

Figure 14.148: Schematic of reference point

Schematic of reference point

Alternatively, for external, internal and single pinion planetary gears, micro geometry can be modified according to ISO 21771. This method can be modified by activating Setting > Labs > Advanced Gear Geometry (see below).

Figure 14.149: Enable Advanced Gear Geometry for an external gear

Enable Advanced Gear Geometry for an external gear

Figure 14.150: Modification tab in designer when Advanced Gear Geometry is enabled

Modification tab in designer when Advanced Gear Geometry is enabled


Note:  In the Profile Crown, Profile Slope, Tip Relief, Lead Crown, Lead Slope and Lead Relief fields, the entered value must be divided by 1000 in reference to the current unit system.


Figure 14.151: Parameters in designer Modification tab for advanced gear geometry

ParameterDescription

Dimension

(Range)

1. End Diameter at Tip (DCa)Use to set the end diameter (tip) Length
2. End Diameter at Root (DCf)Use to set the end diameter (root)Length
3. End Relief Length1 (LC1)Use to set the amount of end relief Length1Length
4. End Relief Length2 (LC2)Use to set the amount of end relief Length2Length

Figure 14.152: Definition of profile crown

Definition of profile crown

Figure 14.153: Definition of profile slope

Definition of profile slope

Figure 14.154: Definition of linear tip relief

Definition of linear tip relief

Figure 14.155: Definition of lead crown

Definition of lead crown

Figure 14.156: Definition of lead slope - Left flank (1)

Definition of lead slope - Left flank (1)

Figure 14.157: Definition of lead slope - Left flank (2)

Definition of lead slope - Left flank (2)

Figure 14.158: Definition of lead slope - Right flank (1)

Definition of lead slope - Right flank (1)

Figure 14.159: Definition of lead slope - Right flank (2)

Definition of lead slope - Right flank (2)

Figure 14.160: Definition of lead relief

Definition of lead relief

Figure 14.161: Definition of twist - external gear

Definition of twist - external gear

Figure 14.162: Definition of twist - internal gear

Definition of twist - internal gear

where

rNa : Active tip radius where the amount of modification is applied

rCa : Modification to the end radius (tip)

rCf : Modification to the end radius (root)

rNf : Active root radius where the amount of modification is applied

Cα : Amount of profile crown

C : Amount of profile slope

Cαa : Amount of linear tip relief

CβI : Amount of lead crown

C : Amount of lead slope

Cβ : Amount of lead relief

C : Amount of twist