Ideal Planetary
Ideal planetary gear box
Description
Equations
Variables
Connections
Parameters
Modelica Standard Library
The Ideal Planetary component is an ideal planetary gear without inertia, elasticity, damping or backlash. It consists of an inner sun wheel, an outer ring wheel, and a planet wheel located between sun and ring wheel. The bearing of the planet wheel shaft is fixed in the planet carrier. The component can be connected to other elements at the sun, ring and/or carrier flanges. There is no connection to the planet wheel.
1+r⁢φcarrier=r⁢φring+φsun
τring=r⁢τsun
τcarrier+τsun+τring=0
Name
Units
Modelica ID
φx
rad
Absolute angle of x,x∈carrier,sun,ring
x.phi
τx
N⁢m
Torque applied to x,x∈carrier,sun,ring
x.tau
sun
Flange of sun shaft
carrier
Flange of carrier shaft
ring
Flange of ring shaft
Default
r
2
1
Ratio of ring teeth to sun teeth
ratio
The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.
See Also
1-D Mechanical Overview
Rotational Bearings and Gears
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