PrescribeInitialPosition

Sets a specific initial angular position for a rotational spline connector.

This component establishes the starting angular position via a spline. At the very beginning of the simulation (time t=0), the angle spline.phi of the Spline subcomponent is set to the value provided by the parameter phi0. Throughout the simulation, the torque spline.tau of the spline is maintained at zero. This ensures that the component only dictates an initial state and does not introduce any rotational forces into the connected system. The defining equations are:

\[\begin{align*} \text{spline.phi}(0) &= phi0 \\ \text{spline.tau} &= 0 \end{align*}\]

Usage

PrescribeInitialPosition(phi0)

Parameters:

Connectors

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

Behavior

\[ \begin{align} \mathtt{spline.tau}\left( t \right) &= 0 \end{align} \]

Source

# Sets a specific initial angular position for a rotational spline connector.
#
# This component establishes the starting angular position via a `spline`.
# At the very beginning of the simulation (time t=0), the angle `spline.phi` of the
# `Spline` subcomponent is set to the value provided by the parameter `phi0`.
# Throughout the simulation, the torque `spline.tau` of the `spline` is maintained at zero.
# This ensures that the component only dictates an initial state and does not introduce
# any rotational forces into the connected system.
# The defining equations are:
# ```math
# \begin{align*}
# \text{spline.phi}(0) &= phi0 \\
# \text{spline.tau} &= 0
# \end{align*}
# ```
component PrescribeInitialPosition
  spline = Spline() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  # Desired initial angular position for the spline.
  parameter phi0::Dyad.Angle
relations
  initial spline.phi = phi0
  spline.tau = 0
metadata {
  "Dyad": {
    "labels": [{"label": "initial phi = $(phi0)", "x": 500, "y": 800, "rot": 0}],
    "icons": {"default": "dyad://RotationalComponents/Pos-Speed-Acc-Move.svg"}
  }
}
end

# Sets a specific initial angular position for a rotational spline connector.
#
# This component establishes the starting angular position via a `spline`.
# At the very beginning of the simulation (time t=0), the angle `spline.phi` of the
# `Spline` subcomponent is set to the value provided by the parameter `phi0`.
# Throughout the simulation, the torque `spline.tau` of the `spline` is maintained at zero.
# This ensures that the component only dictates an initial state and does not introduce
# any rotational forces into the connected system.
# The defining equations are:
# ```math
# \begin{align*}
# \text{spline.phi}(0) &= phi0 \\
# \text{spline.tau} &= 0
# \end{align*}
# ```
component PrescribeInitialPosition
  spline = Spline() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  # Desired initial angular position for the spline.
  parameter phi0::Dyad.Angle
relations
  initial spline.phi = phi0
  spline.tau = 0
metadata {
  "Dyad": {
    "labels": [{"label": "initial phi = $(phi0)", "x": 500, "y": 800, "rot": 0}],
    "icons": {"default": "dyad://RotationalComponents/Pos-Speed-Acc-Move.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

• Examples
• Experiments
• Analyses