Differential Gear
Differential Gear component
The Differential Gear component represents a differential gear that distributes rotational motion of the longitudinal axis (drive shaft) to two lateral axes (left and right shafts). The longitudinal motion is divided by the user defined gear ratio, and then split between the lateral shafts.
The differential model uses two Planet Planet Gear components and two Basic Gear components as shown in the diagram below.
Internal Structure
Internal Settings
Component
PPG1
PPG2
BG1
BG2
r
rO/I = 1
rb/a = 1
rb/a = −r
ideal=true
ideal=false
ηR/DSωDS, ηP/SGωSG, dP/C
ηωI/C = ηP/SGωSG
d =dP/C
ηωa = ηr/DSωDS
d = 0
Connections
Name
Condition
Description
ID
Driveshaft flange DS
−
Flange to drive shaft
drive
Left flange
Flange to left shaft
left
Right flange
-
Flange to right shaft
right
Loss Power
Conditional real output port for power loss
lossPower
Parameters
Symbol
Default
Units
ideal
true
Defines whether the component is:
true - ideal or
false - non-ideal
1
Driveshaft pinion/Crown ring gear ratio (DS/R)
ratio
data source
GUI
Defines the source for the loss data:
entered via GUI [GUI]
by an attachment [attachment]
by an external file [file]
datasourcemode
npl
2
Number of planet gears
numberofPlanets
ηR/DSωDS
ideal = false
data source = GUI
0,1,1
rads,−, −
Defines Ring (crown)/Drive shaft pinion velocity dependent meshing efficiency as a function of ωDS .
The columns are:
[ωDS (η1(ωDS ) η2(ωDS )]
First column is angular velocity of the input driveshaft (ωDS)
Five options are available:
1 by 1 array:
Entered value is taken as the constant efficiency for forward and backward cases
η1(ωDS ) = η2ωDS = η
1 by 2 array:
First entered value is taken as the constant efficiency for forward case and the second for backward cases
η1(ωDS ) = η1 , η2(ωDS ) = η2
1 by 3 array:
First column is ignored and the second and third values are taken as constant efficiencies for forward and backward cases, respectively.
n by 2 array:
Second column is forward and backward efficiency
η (ωDS ) = η1 (ωDS ) = η2 (ωDS )
n by 3 array:
Second column is forward efficiency
η1 (ωDS )
Third column is backward efficiency
η2 (ωDS )
meshinglossTable1
data source = attachment
Defines the velocity dependent meshing efficiency
First column is Drive Shaft angular velocity (ωDS )
(See col ηR/DS below)
data1
data source = file
fileName1
col ηR/DS
data source = attachment or file
2,3
Defines the corresponding data columns used for forward efficiency (η1) and backward efficiency (η2)
Two options are available:
Data column corresponding to the column number is used for both forward and backward efficiency (η1=η2 = η)
Data column corresponding to the first column number is used for forward efficiency (η1) and
data column corresponding to the second column number is used for backward efficiency (η2)
columns1
ηP/SGωSG
Defines Side Gears/Planets velocity dependent meshing efficiency as a function of ωSG .
[ωSG (η1(ωSG ) η2(ωSG )]
η1(ωSG) = η2ωSG = η
η1(ωSG) = η1 , η2(ωSG ) = η2
First column is ignored and the second and third values are taken as constant efficiencies for forward and backward cases, respectively
η (ωSG ) = η1 (ωSG ) = η2 (ωSG )
η1 (ωSG )
η2 (ωSG )
meshinglossTable2
First column is Side Gear (left or right) angular velocity (ωSG )
(See col ηP/SG below)
data2
fileName2
col ηP/SG
Defines the corresponding data columns used for forward efficiency (η1) and backward efficiency (η2).
Data column corresponding to the first column number is used for forward friction torque (η1) and data column corresponding to the second column number is used for backward friction torque (η2)
columns4
dP/C
0
N · mrads
Linear damping in Planet/Carrier bearings
d
smoothness
Table points are linearly interpolated
Defines the smoothness of table interpolation
There are two options:
Table points are interpolated such that the first derivative is continuous
See Also
Driveline Library Overview
MapleSim Library Overview
1-D Mechanical Overview
Differential Gears
Basic Gear
Planet Planet Gear
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