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Sources.ConstantSpeed.md

Sources.ConstantSpeed ​

Constant speed, not dependent on torque.

Model of fixed angular velocity of flange, not dependent on torque. The angular velocity of the spline with respect to the support is fixed to the parameter w_fixed.

The equations are:

w=dϕdtw=wfixed

This component extends from RotationalComponents.Interfaces.PartialTorque

Usage ​

RotationalComponents.Sources.ConstantSpeed(w_fixed)

Parameters: ​

NameDescriptionUnitsDefault value
w_fixedFixed speedrad/s

Connectors ​

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

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

Variables ​

NameDescriptionUnits
phi_supportAbsolute angle of the support splinerad
phiAngle of spline with respect to support–
wAngular velocity of spline with respect to support (= der(phi))rad/s

Behavior ​

julia
using RotationalComponents #hide
using ModelingToolkit #hide
@variables w_fixed #hide
@named sys = RotationalComponents.Sources.ConstantSpeed(w_fixed=w_fixed) #hide
full_equations(sys) #hide
<< @example-block not executed in draft mode >>

Source ​

dyad
"""
Constant speed, not dependent on torque.

Model of fixed angular velocity of flange, not dependent on torque.
The angular velocity of the spline with respect to the support is fixed to
the parameter `w_fixed`.

The equations are:
```math
w = \frac{d\phi}{dt}
```
```math
w = w_{fixed}
```
"""
component ConstantSpeed
  extends RotationalComponents.Interfaces.PartialTorque
  "Fixed speed"
  parameter w_fixed::AngularVelocity
  "Angular velocity of spline with respect to support (= der(phi))"
  variable w::AngularVelocity
relations
  w = der(phi)
  w = w_fixed
metadata {
  "Dyad": {"icons": {"default": "dyad://RotationalComponents/ConstantSpeed.svg"}}
}
end
Flattened Source
dyad
"""
Constant speed, not dependent on torque.

Model of fixed angular velocity of flange, not dependent on torque.
The angular velocity of the spline with respect to the support is fixed to
the parameter `w_fixed`.

The equations are:
```math
w = \frac{d\phi}{dt}
```
```math
w = w_{fixed}
```
"""
component ConstantSpeed
  "Primary rotational shaft spline connector"
  spline = Spline() {"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}
  "Support spline connector"
  support = Spline() {
    "Dyad": {
      "placement": {"icon": {"iconName": "support", "x1": 450, "y1": 950, "x2": 550, "y2": 1050}}
    }
  }
  "Absolute angle of the support spline"
  variable phi_support::Angle
  "Angle of spline with respect to support"
  variable phi::Real
  "Fixed speed"
  parameter w_fixed::AngularVelocity
  "Angular velocity of spline with respect to support (= der(phi))"
  variable w::AngularVelocity
relations
  support.phi = phi_support
  support.tau = -spline.tau
  phi = spline.phi - phi_support
  w = der(phi)
  w = w_fixed
metadata {
  "Dyad": {"icons": {"default": "dyad://RotationalComponents/ConstantSpeed.svg"}}
}
end


Test Cases ​

No test cases defined.