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Ideal Planetary

Ideal planetary gear box

 

Description

Equations

Variables

Connections

Parameters

Modelica Standard Library

Description

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.

Equations

1+rφcarrier=rφring+φsun

τring=rτsun

τcarrier+τsun+τring=0

Variables

Name

Units

Description

Modelica ID

φx

rad

Absolute angle of x,xcarrier,sun,ring

x.phi

τx

Nm

Torque applied to x,xcarrier,sun,ring

x.tau

Connections

Name

Description

Modelica ID

sun

Flange of sun shaft

sun

carrier

Flange of carrier shaft

carrier

ring

Flange of ring shaft

ring

Parameters

Name

Default

Units

Description

Modelica ID

r

2

1

Ratio of ring teeth to sun teeth

ratio

Modelica Standard Library

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