IdealGearR2T

Gearbox transforming rotational into translational motion

This component extends from PartialElementaryRotationalToTranslational

Usage

IdealGearR2T(ratio)

Parameters:

Connectors

• spline - (Spline)
• flange - (Flange)
• support_r - (Spline)
• support_t - (Flange)

Behavior

\[ \begin{align} - \mathtt{support\_r.phi}\left( t \right) + \mathtt{spline.phi}\left( t \right) &= - \mathtt{support\_t.s}\left( t \right) + \mathtt{ratio} \mathtt{flange.s}\left( t \right) \\ 0 &= \mathtt{flange.f}\left( t \right) + \mathtt{ratio} \mathtt{spline.tau}\left( t \right) \end{align} \]

Source

# Gearbox transforming rotational into translational motion
component IdealGearR2T
  extends PartialElementaryRotationalToTranslational
  # Transmission ratio (flange_a.phi/flange_b.s)
  parameter ratio::Real(units="rad/m")
relations
  spline.phi-support_r.phi = ratio*flange.s-support_t.s
  0 = ratio*spline.tau+flange.f
metadata {"Dyad": {"icons": {"default": "dyad://RotationalComponents/IdealGearR2T.svg"}}}
end

# Gearbox transforming rotational into translational motion
component IdealGearR2T
  # Rotational shaft
  spline = Spline() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  # Translational shaft
  flange = Flange() [{"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}]
  support_r = Spline() [{"Dyad": {"placement": {"icon": {"x1": 100, "y1": 950, "x2": 200, "y2": 1050}}}}]
  support_t = Flange() [{"Dyad": {"placement": {"icon": {"x1": 800, "y1": 950, "x2": 900, "y2": 1050}}}}]
  # Transmission ratio (flange_a.phi/flange_b.s)
  parameter ratio::Real(units="rad/m")
relations
  spline.phi-support_r.phi = ratio*flange.s-support_t.s
  0 = ratio*spline.tau+flange.f
metadata {"Dyad": {"icons": {"default": "dyad://RotationalComponents/IdealGearR2T.svg"}}}
end

Test Cases

Related

• Examples
• Experiments
• Analyses