WOLFRAM SYSTEM MODELER

RigidNoLossExternal

External rigid gear connection model

Wolfram Language

In[1]:=
SystemModel["PlanarMechanics.GearComponents.RigidNoLossExternal"]
Out[1]:=

Information

In this model an ideal gear connection is modelled. It is based on the paper [Linden2012] However, no gear elasticity is modelled.

The planar model of an external gear wheel is used to build complex gear models. There is a corresponding example of SpurGear.

Using different parts from the planar library, it is possible to build complex gear systems. However, especially since no elasticity is included, kinematic loops can lead to complications and should be handled with care.

This model is suitable for:

  • Kinematic analysis of gear systems and gear-like systems.
  • Modelling of multiple gear stage models with clutches.

Parameters (11)

useHeatPort

Value: false

Type: Boolean

Description: = true, if heatPort is enabled

r_a

Value: 1

Type: Distance (m)

Description: Radius of gear A

r_b

Value: 1

Type: Distance (m)

Description: Radius of gear B

animate

Value: true

Type: Boolean

Description: = true, if animation shall be enabled

StartAngle_a

Value: 0

Type: Angle (rad)

Description: Start Angle of gear A

StartAngle_b

Value: 0

Type: Angle (rad)

Description: Start Angle of gear B

Tooth_a

Value: 20

Type: Integer

Description: Number of Tooth

Tooth_b

Value: integer(PlanarMechanics.Utilities.Functions.round(Tooth_a / r_a * r_b))

Type: Integer

Description: Number of Tooth

RGB_a

Value: {195, 0, 0}

Type: Real[3]

Description: Color (RGB values)

RGB_b

Value: {0, 0, 195}

Type: Real[3]

Description: Color (RGB values)

z_offset

Value: 0

Type: Distance (m)

Description: Offset of z-distance for simulation

Connectors (3)

frame_a

Type: Frame_a

Description: Coordinate system fixed to the component with one cut-force and cut-torque

frame_b

Type: Frame_b

Description: Coordinate system fixed to the component with one cut-force and cut-torque

heatPort

Type: HeatPort_a

Description: Optional port to which dissipated losses are transported in form of heat

Components (5)

planarWorld

Type: PlanarWorld

Description: Planar world model

pointA

Type: Shape

Description: Visualizing an elementary object with variable size; all data have to be set as modifiers (see info layer)

pointB

Type: Shape

Description: Visualizing an elementary object with variable size; all data have to be set as modifiers (see info layer)

Gearwheel_a

Type: Shape

Description: Visualizing an elementary object with variable size; all data have to be set as modifiers (see info layer)

Gearwheel_b

Type: Shape

Description: Visualizing an elementary object with variable size; all data have to be set as modifiers (see info layer)

Used in Examples (1)

SpurGear

PlanarMechanics.GearComponents.Examples

Rigid spur gear

Used in Components (1)

RigidNoLossPlanetary

PlanarMechanics.GearComponents.Examples.Utilities

Planetary gearbox

Revisions

DLR logo Developed 2010 at the DLR Institute of System Dynamics and Control