Rotational.IdealPlanetary

Usage

TranslatedComponents.Rotational.IdealPlanetary(ratio=100 / 50)

Parameters:

Name	Description	Units	Default value
ratio	Number of ring_teeth/sun_teeth (e.g., ratio=100/50)	–	100 / 50

Connectors

• sun - This connector represents a rotational spline with angle and torque as the potential and flow variables, respectively. (Spline)

• carrier - This connector represents a rotational spline with angle and torque as the potential and flow variables, respectively. (Spline)

• ring - This connector represents a rotational spline with angle and torque as the potential and flow variables, respectively. (Spline)

Behavior

$$\begin{array}{rl}(1+\mathtt{ratio})\mathtt{carrier}\mathtt{.}\mathtt{phi}\left(t\right)& =\mathtt{sun}\mathtt{.}\mathtt{phi}\left(t\right)+\mathtt{ratio}\mathtt{ring}\mathtt{.}\mathtt{phi}\left(t\right)\\ \mathtt{ring}\mathtt{.}\mathtt{tau}\left(t\right)& =\mathtt{ratio}\mathtt{sun}\mathtt{.}\mathtt{tau}\left(t\right)\\ \mathtt{carrier}\mathtt{.}\mathtt{tau}\left(t\right)& =(-1-\mathtt{ratio})\mathtt{sun}\mathtt{.}\mathtt{tau}\left(t\right)\end{array}$$

Source

component IdealPlanetary
  sun = Spline()
  carrier = Spline()
  ring = Spline()
  # Number of ring_teeth/sun_teeth (e.g., ratio=100/50)
  parameter ratio::Real = 100 / 50
relations
  (1 + ratio) * carrier.phi = sun.phi + ratio * ring.phi
  ring.tau = ratio * sun.tau
  carrier.tau = -(1 + ratio) * sun.tau
end

Flattened Source

component IdealPlanetary
  sun = Spline()
  carrier = Spline()
  ring = Spline()
  # Number of ring_teeth/sun_teeth (e.g., ratio=100/50)
  parameter ratio::Real = 100 / 50
relations
  (1 + ratio) * carrier.phi = sun.phi + ratio * ring.phi
  ring.tau = ratio * sun.tau
  carrier.tau = -(1 + ratio) * sun.tau
metadata {}
end

Test Cases

No test cases defined.

Related

• Examples

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