WOLFRAM SYSTEM MODELER

GearForceCalculation

Class calculating gear mesh contact forces

Diagram

Wolfram Language

In[1]:=

SystemModel["RotatingMachinery.Gears.Components.GearForceCalculation"]

Out[1]:=

Information

Gear Forces

This component contains four different ContactForcePoints components. That means that four spur gear forces are being calculated for four tooth pairs (maximum of two pairs can be in contact at a time) between the gear connected to frame_z1 and the 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 default settings of the ContactForcePoints for a smooth start are as follows:

ContactForcePoint	isFront	toothIndexShift
Front0	true	0
Front1	true	1
Rear0	false	0
Rear1	false	1

Parameters (12)

z1	Value: Type: Integer Description: Number of teeth for gear wheel one
z2	Value: Type: Integer Description: Number of teeth for gear wheel two
m	Value: Type: Length (m) Description: Gear module
x1	Value: Type: Real Description: Profile shift for gear wheel one
x2	Value: Type: Real Description: Profile shift for gear wheel two
N_to_m	Value: 200000 Type: Real (N/m) Description: Scale factor for animation of forces
useDebugPoints	Value: false Type: Boolean
L	Value: Type: Length (m) Description: Contact Width of wheel
tipReliefAmplitude1	Value: 0.001 * m Type: Distance (m) Description: Tip relief amplitude of a gear tooth on wheel 1
tipReliefAmplitude2	Value: 0.001 * m Type: Distance (m) Description: Tip relief amplitude of a gear tooth on wheel 2
tipReliefLength1	Value: 0.01 * m Type: Distance (m) Description: Tip relief length of a gear tooth on wheel 2
tipReliefLength2	Value: 0.01 * m Type: Distance (m) Description: Tip relief length of a gear tooth on wheel 2

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)

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 (4)

	ContactForcePoints_Front0	Type: ContactForcePoints Description: Class for calculation of cylindrical contact force between two teeth on a spur gear
	ContactForcePoints_Front1	Type: ContactForcePoints Description: Class for calculation of cylindrical contact force between two teeth on a spur gear
	ContactForcePoints_Rear0	Type: ContactForcePoints Description: Class for calculation of cylindrical contact force between two teeth on a spur gear
	ContactForcePoints_Rear1	Type: ContactForcePoints Description: Class for calculation of cylindrical contact force between two teeth on a spur gear