The block is designed to simulate planetary gear mesh of the "Planet-Planet" type with a constant gear ratio and constant efficiency. The kinematic diagram of the gearbox is shown in the figure (Figure 1).
Figure 1. Kinematic diagram of the planetary gear Planet-Planet
Planetary gear consists of:
External planet gear PE with the number of teeth ZPE
Internal planet gear PI with the number of teeth ZPI
Carrier C
The block is described by the following kinematic relation:
where:
ωPI – angular speed of the internal planet gear, rad/s
ωPE – angular speed of the external planet gear, rad/s
ωC – angular speed of the carrier, rad/s
Attention:
the angular speed of the planet gear is measured relative to the fixed coordinate system.
To meet the requirement of the kinematic ratio, the block solves the coupling equation. A detailed description of the approach for the the gear (speed) ratios simulation is given on the page Simulating transmission. A detailed description of the approach for simulation losses in the gearing is given on the page Gearbox efficiency simulation.
The gear (speed) ratio value U is displayed next to the block.
Inputs
Name
Description
Connection line type
P_int
Port for connecting the internal planet shaft (internal planet)
Rotary mechanics
P_ext
Port for connecting the external planet shaft (external planet)
Rotary mechanics
C
Port for connecting the carrier (carrier)
Rotary mechanics
Outputs
Name
Description
Connection line type
Q
Power losses due to bearing friction and gear meshing (efficiency)
Mathematical
Properties
Title
Parameter
Description
By default
Data type
Kinematics
A group of properties that set the kinematic parameters of motion
The torque transmitted from the planetary gear to the connected blocks. A negative value means that the internal planet gear is the driving element of the gear
The torque transmitted from the planetary gear to the connected blocks. A negative value means that the external planet gear is the driving element of the gear
