IdealGear Icon

`IdealGear`

This element characterizes any type of gear box which is fixed in the ground and which has one driving shaft and one driven shaft.

This component extends from PartialElementaryTwoSplinesAndSupport

Parameters:

Name	Description	Units	Default value
`ratio`	Transmission ratio	–

Connectors

spline_a - (Spline)
spline_b - (Spline)
support - (Spline)

Variables

Name	Description	Units
`phi_support`	Absolute angle of support spline	rad
`phi_a`	Relative angle between shaft a and the support	rad
`phi_b`	Relative angle between shaft b and the support	rad

\[ \begin{align} \mathtt{support.phi}\left( t \right) &= \mathtt{phi\_support}\left( t \right) \\ \mathtt{support.tau}\left( t \right) &= - \mathtt{spline\_b.tau}\left( t \right) - \mathtt{spline\_a.tau}\left( t \right) \\ \mathtt{phi\_a}\left( t \right) &= - \mathtt{phi\_support}\left( t \right) + \mathtt{spline\_a.phi}\left( t \right) \\ \mathtt{phi\_b}\left( t \right) &= \mathtt{spline\_b.phi}\left( t \right) - \mathtt{phi\_support}\left( t \right) \\ \mathtt{phi\_a}\left( t \right) &= \mathtt{ratio} \mathtt{phi\_b}\left( t \right) \\ 0 &= \mathtt{spline\_b.tau}\left( t \right) + \mathtt{ratio} \mathtt{spline\_a.tau}\left( t \right) \end{align} \]

Source

# This element characterizes any type of gear box which is fixed in the ground and
# which has one driving shaft and one driven shaft.
component IdealGear
  extends PartialElementaryTwoSplinesAndSupport
  # Transmission ratio
  parameter ratio::Real
  # Relative angle between shaft a and the support
  variable phi_a::Angle
  # Relative angle between shaft b and the support
  variable phi_b::Angle
relations
  phi_a = spline_a.phi-phi_support
  phi_b = spline_b.phi-phi_support
  phi_a = ratio*phi_b
  0 = ratio*spline_a.tau+spline_b.tau
metadata {"Dyad": {"icons": {"default": "dyad://RotationalComponents/IdealGear.svg"}}}
end

Flattened Source

# This element characterizes any type of gear box which is fixed in the ground and
# which has one driving shaft and one driven shaft.
component IdealGear
  spline_a = Spline() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  spline_b = Spline() [{"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}]
  support = Spline() [{
    "Dyad": {
      "placement": {"icon": {"iconName": "support", "x1": 450, "y1": 950, "x2": 550, "y2": 1050}}
    }
  }]
  # Absolute angle of support spline
  variable phi_support::Angle
  # Transmission ratio
  parameter ratio::Real
  # Relative angle between shaft a and the support
  variable phi_a::Angle
  # Relative angle between shaft b and the support
  variable phi_b::Angle
relations
  support.phi = phi_support
  support.tau = -spline_a.tau-spline_b.tau
  phi_a = spline_a.phi-phi_support
  phi_b = spline_b.phi-phi_support
  phi_a = ratio*phi_b
  0 = ratio*spline_a.tau+spline_b.tau
metadata {"Dyad": {"icons": {"default": "dyad://RotationalComponents/IdealGear.svg"}}}
end

Test Cases

Examples
Experiments
Analyses