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RackAndPinion.md

RackAndPinion ​

Simple 1-dim. model of rack and pinion system without inertia. Rotational motion of circular gear (pinion) is converted to linear motion of linear gear (rack).

This component extends from IdealRollingWheel

Usage ​

RackAndPinion(radius)

Parameters: ​

NameDescriptionUnitsDefault value
radiusPinion radiusm

Connectors ​

Behavior ​

julia
using RotationalComponents #hide
using ModelingToolkit #hide
@variables radius #hide
@named sys = RotationalComponents.Components.RackAndPinion(radius=radius) #hide
let eqs = full_equations(sys); Base.length(eqs) > 25 ? nothing : eqs end #hide
<< @example-block not executed in draft mode >>

Source ​

dyad
# Simple 1-dim. model of rack and pinion system without inertia. Rotational motion
# of circular gear (pinion) is converted to linear motion of linear gear (rack).
component RackAndPinion
  extends IdealRollingWheel
  # Pinion radius
  parameter radius::Length
metadata {
  "JuliaSim": {"icons": {"default": "jsml://RotationalComponents/IdealRollingWheel.svg"}}
}
end
Flattened Source
# Simple 1-dim. model of rack and pinion system without inertia. Rotational motion
# of circular gear (pinion) is converted to linear motion of linear gear (rack).
component RackAndPinion
  # Rotational shaft
  spline = Spline() [{
    "JuliaSim": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}
  }]
  # Translational shaft
  flange = Flange() [{
    "JuliaSim": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}
  }]
  support_r = Spline() [{
    "JuliaSim": {"placement": {"icon": {"x1": 100, "y1": 950, "x2": 200, "y2": 1050}}}
  }]
  support_t = Flange() [{
    "JuliaSim": {"placement": {"icon": {"x1": 800, "y1": 950, "x2": 900, "y2": 1050}}}
  }]
  # wheel radius
  parameter radius::Length
relations
  (spline.phi-support_r.phi)*radius = flange.s-support_t.s
  0 = radius*flange.f+spline.tau
metadata {
  "JuliaSim": {"icons": {"default": "jsml://RotationalComponents/IdealRollingWheel.svg"}}
}
end

Test Cases ​

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