WOLFRAM SYSTEM MODELER

Gearbox

Realistic model of a gearbox (based on LossyGear)

Diagram

Wolfram Language

In[1]:=
SystemModel["Modelica.Mechanics.Rotational.Components.Gearbox"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This component models the essential effects of a gearbox, in particular

  • in component lossyGear
    • gear efficiency due to friction between the teeth
    • bearing friction
  • in component elastoBacklash
    • gear elasticity
    • damping
    • backlash

The inertia of the gear wheels is not modeled. If necessary, inertia has to be taken into account by connecting components of model Inertia to the left and/or the right flange of component Gearbox.

Parameters (9)

useSupport

Value: false

Type: Boolean

Description: = true, if support flange enabled, otherwise implicitly grounded

useHeatPort

Value: false

Type: Boolean

Description: = true, if HeatPort is enabled

T

Value: 293.15

Type: Temperature (K)

Description: Fixed device temperature if useHeatPort = false

ratio

Value:

Type: Real

Description: Transmission ratio (flange_a.phi/flange_b.phi)

lossTable

Value: [0, 1, 1, 0, 0]

Type: Real[:,5]

Description: Array for mesh efficiencies and bearing friction depending on speed (see docu of LossyGear)

c

Value:

Type: RotationalSpringConstant (N⋅m/rad)

Description: Gear elasticity (spring constant)

d

Value:

Type: RotationalDampingConstant (N⋅m⋅s/rad)

Description: Gear damping (relative damping)

b

Value: 0

Type: Angle (rad)

Description: Total backlash

stateSelect

Value: StateSelect.prefer

Type: StateSelect

Description: Priority to use phi_rel and w_rel as states

Connectors (6)

flange_a

Type: Flange_a

Description: Flange of left shaft

flange_b

Type: Flange_b

Description: Flange of right shaft

support

Type: Support

Description: Support/housing of component

internalSupport

Type: Support

Description: Internal support/housing of component (either connected to support, if useSupport=true, or connected to fixed, if useSupport=false)

heatPort

Type: HeatPort_a

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

internalHeatPort

Type: HeatPort_a

Description: Thermal port for 1-dim. heat transfer (filled rectangular icon)

Components (4)

fixed

Type: Fixed

Description: Fixed support/housing, if not useSupport

fixedTemperature

Type: FixedTemperature

Description: Fixed temperature boundary condition in Kelvin

lossyGear

Type: LossyGear

Description: Gear with mesh efficiency and bearing friction (stuck/rolling possible)

elastoBacklash

Type: ElastoBacklash

Description: Backlash connected in series to linear spring and damper (backlash is modeled with elasticity)