LIBRARY

Components.Disc

1-dim. rotational rigid component without inertia, where right spline is rotated by a fixed angle with respect to left spline.

The right spline (spline_b) is rotated by the fixed angle deltaPhi with respect to the left spline (spline_a):

$$\begin{gathered} textspline{ \\ }_a. \\ phi= \\ phi- \\ frac \\ Delta \\ phi2 \end{gathered}$$$$\begin{gathered} textspline{ \\ }_b. \\ phi= \\ phi+ \\ frac \\ Delta \\ phi2 \end{gathered}$$

No inertia is associated with this component; the sum of torques at both splines is zero:

$$\begin{gathered} textspline{ \\ }_a. \\ tau+ \\ textspline{ \\ }_b. \\ tau=0 \end{gathered}$$

This component extends from RotationalComponents.Interfaces.PartialTwoSplines

Usage

RotationalComponents.Components.Disc(deltaPhi=0.0)

Parameters:

Name	Description	Units	Default value
deltaPhi	Fixed rotation of left spline with respect to right spline (= spline_b.phi - spline_a.phi)	rad	0.0

Connectors

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

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

Variables

Name	Description	Units
phi	Absolute rotation angle of component	rad

Behavior

using RotationalComponents #hide
using ModelingToolkit #hide
@variables deltaPhi #hide
@named sys = RotationalComponents.Components.Disc(deltaPhi=deltaPhi) #hide
full_equations(sys) #hide

<< @example-block not executed in draft mode >>

Source

"""
1-dim. rotational rigid component without inertia, where right spline is rotated
by a fixed angle with respect to left spline.

The right spline (`spline_b`) is rotated by the fixed angle `deltaPhi` with respect
to the left spline (`spline_a`):
```math
\\text{spline\\_a}.\\phi = \\phi - \\frac{\\Delta\\phi}{2}
```
```math
\\text{spline\\_b}.\\phi = \\phi + \\frac{\\Delta\\phi}{2}
```
No inertia is associated with this component; the sum of torques at both splines is zero:
```math
\\text{spline\\_a}.\\tau + \\text{spline\\_b}.\\tau = 0
```
"""
component Disc
  extends RotationalComponents.Interfaces.PartialTwoSplines
  "Fixed rotation of left spline with respect to right spline (= spline_b.phi - spline_a.phi)"
  parameter deltaPhi::Angle = 0.0
  "Absolute rotation angle of component"
  variable phi::Angle
relations
  spline_a.phi = phi - deltaPhi / 2
  spline_b.phi = phi + deltaPhi / 2
  0 = spline_a.tau + spline_b.tau
metadata {"Dyad": {"icons": {"default": "dyad://RotationalComponents/Disc.svg"}}}
end

Flattened Source

"""
1-dim. rotational rigid component without inertia, where right spline is rotated
by a fixed angle with respect to left spline.

The right spline (`spline_b`) is rotated by the fixed angle `deltaPhi` with respect
to the left spline (`spline_a`):
```math
\\text{spline\\_a}.\\phi = \\phi - \\frac{\\Delta\\phi}{2}
```
```math
\\text{spline\\_b}.\\phi = \\phi + \\frac{\\Delta\\phi}{2}
```
No inertia is associated with this component; the sum of torques at both splines is zero:
```math
\\text{spline\\_a}.\\tau + \\text{spline\\_b}.\\tau = 0
```
"""
component Disc
  "First spline"
  spline_a = Spline() {"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}
  "Second spline"
  spline_b = Spline() {"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}
  "Fixed rotation of left spline with respect to right spline (= spline_b.phi - spline_a.phi)"
  parameter deltaPhi::Angle = 0.0
  "Absolute rotation angle of component"
  variable phi::Angle
relations
  spline_a.phi = phi - deltaPhi / 2
  spline_b.phi = phi + deltaPhi / 2
  0 = spline_a.tau + spline_b.tau
metadata {"Dyad": {"icons": {"default": "dyad://RotationalComponents/Disc.svg"}}}
end

Test Cases

No test cases defined.

Related

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