Ideal Planetary - MapleSim Help

Ideal Planetary

Ideal planetary gear box

 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 $\left(1+r\right){\mathrm{\phi }}_{\mathrm{carrier}}=r{\mathrm{\phi }}_{\mathrm{ring}}+{\mathrm{\phi }}_{\mathrm{sun}}$ ${\mathrm{\tau }}_{\mathrm{ring}}=r{\mathrm{\tau }}_{\mathrm{sun}}$ ${\mathrm{\tau }}_{\mathrm{carrier}}+{\mathrm{\tau }}_{\mathrm{sun}}+{\mathrm{\tau }}_{\mathrm{ring}}=0$

Variables

 Name Units Description Modelica ID ${\mathrm{\phi }}_{x}$ $\mathrm{rad}$ Absolute angle of $x,x\in \left\{\mathrm{carrier},\mathrm{sun},\mathrm{ring}\right\}$ x.phi ${\mathrm{\tau }}_{x}$ $Nm$ Torque applied to $x,x\in \left\{\mathrm{carrier},\mathrm{sun},\mathrm{ring}\right\}$ x.tau

Connections

 Name Description Modelica ID $\mathrm{sun}$ Flange of sun shaft sun $\mathrm{carrier}$ Flange of carrier shaft carrier $\mathrm{ring}$ 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.