Basic Gear
Basic Gear component
The Basic Gear component models two meshing gears without inertia, elasticity or backlash. Gear and bearing friction inertia may be included by attaching the Inertia and Bearing Friction components to either ‘flange_a’ or ‘flange_b’, respectively.
Kinematic Equation
Where
is the gear ratio and is defined as:
Where is the number of teeth of the a-side gear and is the number of teeth of the b-side gear. Also, and are defined as
![`ϕ`[x] = `ϕ`[fx]](/support/helpjp/helpview.aspx?si=3717/file09609/math132.png) , ∈
Where and are the absolute rotation angles of flange_a and flange_b, respectively.
Torque Balance Equation (No Inertia)
Where and are the torques applied to flange_a and flange_b, respectively.
Also
is the meshing loss torque and is defined as:
Where
=
When useSupport = true, the following equation is added to calculate the support reaction torque:
=
Power Loss:
The power loss ( ) is calculated as:
Connections
Name
|
Condition
|
Description
|
ID
|
|
-
|
Flange to driver shaft
|
flange_a
|
|
-
|
Flange to driven shaft
|
flange_b
|
support
|
|
Conditional Support Flange
|
support
|
|
|
Conditional real output port for power loss
|
lossPower
|
|
data source = input port
|
Conditional real input port for loss data
|
lossdata
|
|
|
Parameters
Symbol
|
Condition
|
Default
|
Units
|
Description
|
ID
|
|
-
|
|
-
|
Defines whether the component is:
true - ideal or
false - non-ideal
|
ideal
|
data source
|

|
GUI
|
-
|
Defines the source for the loss data:
•
|
entered via GUI [data entered via GUI]
|
•
|
by an attachment [data is attached to model]
|
•
|
by an external file [data is stored in a file]
|
•
|
an input port [input port]
|
|
datasourcemode
|
|
data source = input port
|
|
-
|
Number of inputs
•
|
One input ( =1): Forward and backward efficiencies are the same:
|
•
|
Two inputs ( =2): Forward and backward efficiencies are given independently:
|
|
inputNo
|
use support
|
-
|
|
-
|
Enables/disables the support flange
|
useSupport
|
|
-
|
|
-
|
Gear ratio
|
ratio
|
|
data source = GUI
|
|
![[rad/(s),-,-]](/support/helpjp/helpview.aspx?si=3717/file09609/math797.png)
|
Defines velocity dependant meshing efficiency
The columns:
[ ( ( ) ( )]
Five options are available:
•
|
1 by 1 array: entered value is taken as the constant efficiency for forward and backward cases
|
( ) = ( ) =
•
|
1 by 2 array: first entered value is taken as the constant efficiency for forward case and the second for backward cases
|
( ) = ( ) =
•
|
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: 2nd column is forward and backward efficiency
|
( ) = ( ) = ( )
2nd column is forward efficiency
( )
3rd column is backward efficiency
( )
Note: The rows of the array are ordered according to , with the first row having the smallest | |
|
meshinglossTable
|
data source = attachment
|
|
Defines velocity dependant meshing efficiency
First column is angular velocity ( )
(See  below)
|
data
|
data source = file
|
|
Defines velocity dependant meshing efficiency
|
fileName
|

|
data source = attachment or file
|
|
-
|
Defines the corresponding data columns used for forward efficiency ( ) and backward efficiency ( )
Two options are available:
Data column corresponding to the column number is used for both forward and backward efficiencies ( )
Data column corresponding to the first column number is used for forward efficiency ( )
and data column corresponding to the second column number is used for backward efficiency ( )
|
columns
|
smoothness
|

|
Table points are linearly interpolated
|
-
|
Defines the smoothness of table interpolation. There are two options:
•
|
Table points are linearly interpolated
|
•
|
Table points are interpolated such that the first derivative is continuous
|
|
smoothness
|
|
|
Note: The ratio ( ) must be non-zero. Negative values are permissible. For ( ) < 0, the Basic Gear component resembles the Ideal Gear (when ideal = true) and Lossy Gear (ideal = false).
See Also
MapleSim Driveline Library Overview
MapleSim Library Overview
1-D Mechanical Overview
Basic Gear Sets
Ideal Gear
Lossy Gear
References
Pelchen C., Schweiger C., and Otter M., “Modeling and Simulating the Efficiency of Gearboxes and Planetary Gearboxes,” 2nd International Modelica Conference, Proceedings, pp. 257-266.
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