WOLFRAM SYSTEMMODELER

RigidNoLossInternal

Internal rigid gear gonnection model

Wolfram Language

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

Information

In this model an ideal gear connection is modelled. It is based on the paper from van der Linden , Modelling of Elastic Gearboxes Using a Generalized Gear Contact Model. However, no gear elasticity is modelled.

The planar model of an internal gear wheel is used to build complex gear models. A planar library is used to create the constraints of the gearwheels. An example can be found in here.

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.

Literature

  1. van der Linden, F., Modelling of Elastic Gearboxes Using a Generalized Gear Contact Model, Proceedings of the 9th International MODELICA Conference, Linkoping University Electronic Press, 2012, 303-310

Parameters (9)

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

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 A (RGB values)

RGB_b

Value: {0, 0, 195}

Type: Real[3]

Description: Color B (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

pointB

Type: Shape

Gearwheel_a

Type: Shape

Gearwheel_b

Type: Shape

Used in Components (1)

RigidNoLossPlanetary

PlanarMechanics.GearComponents.Examples.Utilities

Planetary gearbox