WOLFRAM SYSTEM MODELER

GearForceCalculationInner

Class calculating internal gear mesh contact forces

Diagram

Wolfram Language

In[1]:=
SystemModel["RotatingMachinery.Gears.Components.GearForceCalculationInner"]
Out[1]:=

Information

Gear Forces Inner

This component contains six different ContactForcePointsInner components. That means that six spur gear forces are being calculated for six tooth pairs (maximum of three pairs can be in contact at a time) between the external gear connected to frame_z1 and the internal gear connected to frame_z2. The parameters that need to be specified in this component are the material and gear geometry.

Figure 1: Gear contact parameter tab.

Tip relief, or tip modification, is necessary to avoid transients that occur when teeth come into contact. When two teeth come into contact, there is a deflection due to elastic deformation in the contact zone, which causes one tooth to take all the forces and increases the contact stress on that tooth. 

Figure 2: Tip relief.

Figure 2 shows a tip relief implementation. Tip relief related parameters are set by two parameters for each gear,

tipReliefAmplitude and tipReliefLength.

The difference between the six forces are the parameters isFront and toothIndexShift.

If isFront is set to true, that means that the forward flank will be used, i.e. the flank that will be in contact when the wheel is rotating counterclockwise.

The parameter toothIndexShift is an index used at initialization to decide which tooth, in both gears, should be used in that tooth pair force calculation. This means that there are two zeros, two ones and two twos. Set isFront equal to true and false for the zeros and the ones. The settings will be:

ContactForcePoint isFront toothIndexShift
Front0 true 0
Front1 true
Front2 true
Rear0 false
Rear1 false
Rear2 false

Parameters (9)

z1

Value:

Type: Integer

Description: Number of teeth for gear wheel one

z2

Value:

Type: Integer

Description: Number of teeth for gear wheel one

x1

Value:

Type: Real

Description: Profile shift for gear wheel one

x2

Value:

Type: Real

Description: Profile shift for gear wheel two

m

Value:

Type: Length (m)

Description: Gear module

tipReliefAmplitude

Value: 0.001 * m

Type: Distance (m)

Description: Tip relief amplitude of a gear tooth on the outer spur gear

tipReliefLength

Value: 0.01 * m

Type: Distance (m)

Description: Tip relief length of a gear tooth on the outer spur gear

N_to_m

Value: 200000

Type: Real (N/m)

Description: Scale factor for animation of forces

useDebugPoints

Value: false

Type: Boolean

Connectors (2)

frame_z1

Type: Frame_a

Description: Coordinate system fixed to the component with one cut-force and cut-torque (filled rectangular icon)

frame_z2

Type: Frame_a

Description: Coordinate system fixed to the component with one cut-force and cut-torque (filled rectangular icon)

Components (6)

contactForcePointsInnerFront0

Type: ContactForcePointsInner

Description: Class for calculation of cylindrical contact force between two teeth on an outer and inner spur gear

contactForcePointsInnerFront1

Type: ContactForcePointsInner

Description: Class for calculation of cylindrical contact force between two teeth on an outer and inner spur gear

contactForcePointsInnerRear0

Type: ContactForcePointsInner

Description: Class for calculation of cylindrical contact force between two teeth on an outer and inner spur gear

contactForcePointsInnerRear1

Type: ContactForcePointsInner

Description: Class for calculation of cylindrical contact force between two teeth on an outer and inner spur gear

contactForcePointsInnerFront2

Type: ContactForcePointsInner

Description: Class for calculation of cylindrical contact force between two teeth on an outer and inner spur gear

contactForcePointsInnerRear2

Type: ContactForcePointsInner

Description: Class for calculation of cylindrical contact force between two teeth on an outer and inner spur gear

Used in Examples (2)

InternalGear

RotatingMachinery.Examples.Gears.SpurGears

Application of a driven internal gearwheel

InnerToOuterDrive

RotatingMachinery.Examples.Gears.SpurGears

Study of a driving internal gear

Used in Components (1)

PlanetaryGear

RotatingMachinery.Gears.PlanetaryGears

Class containing a basic planetary gear model