modelRigidNoLossExternal

External rigid gear connection model

Extends from PlanarMechanics.Utilities.Icons.PlanarGearContactExternalL1 (Icon for an external planar gear contact), PlanarMechanics.Interfaces.PartialTwoFramesAndHeat (Partial model with two frames and HeatPort).

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

TypeNameDefaultDescription
BooleanuseHeatPort (from PartialElementaryConditionalHeatPortWithoutT)false= true, if heatPort is enabled
SI.Distancer_a1Radius of gear A
SI.Distancer_b1Radius of gear B
Booleananimatetrue= true, if animation shall be enabled
Animation › If animation = true
SI.AngleStartAngle_a0Start Angle of gear A
SI.AngleStartAngle_b0Start Angle of gear B
IntegerTooth_a20Number of Tooth
IntegerTooth_binteger(PlanarMechanics.Utilities.Functions.round(Tooth_a/r_a*r_b))Number of Tooth
Real[3]RGB_a{195, 0, 0}Color (RGB values)
Real[3]RGB_b{0, 0, 195}Color (RGB values)
SI.Distancez_offset0Offset of z-distance for simulation

Connectors

TypeNameDefaultDescription
Frame_aframe_a (from PartialTwoFrames)Coordinate system fixed to the component with one cut-force and cut-torque
Frame_bframe_b (from PartialTwoFrames)Coordinate system fixed to the component with one cut-force and cut-torque
HeatTransfer.Interfaces.HeatPort_aheatPort (from PartialElementaryConditionalHeatPortWithoutT)Optional port to which dissipated losses are transported in form of heat

Components

TypeNameDefaultDescription
SI.PowerlossPower (from PartialElementaryConditionalHeatPortWithoutT)Loss power leaving component via heatPort (> 0, if heat is flowing out of component)
SI.AngularVelocityw_aAngular speed of gear A
SI.AngularVelocityw_bAngular speed of gear B
SI.AngularVelocityw_gearAngular speed of gear the overall gear contact
SI.ForceF_nMesh normal force
SI.Velocityv_meshMesh speed
SI.Accelerationa_meshMesh acceleration
SI.Lengthxmesh_aMesh position of gear A
SI.Lengthxmesh_bMesh position of gear B
SI.Anglephi_gearGear angle

Revisions

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