TorqueSource

Ideal source applying an externally specified torque to a rotational spline.

This component models an ideal torque source for rotational mechanical systems. It takes an external signal, tau, which defines the accelerating torque to be applied to the connected mechanical spline. The component inherits its mechanical connection interface, spline, from PartialTorque. The core behavior is established by the following equation that relates the input signal tau to the torque at the spline connector:

\[spline.\tau = -\tau\]

PartialTorque

Usage

TorqueSource()

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)
• tau - This connector represents a real signal as an input to a component (RealInput)

Variables

Behavior

\[ \begin{align} \mathtt{support.phi}\left( t \right) &= \mathtt{phi\_support}\left( t \right) \\ \mathtt{support.tau}\left( t \right) &= - \mathtt{spline.tau}\left( t \right) \\ \mathtt{phi}\left( t \right) &= \mathtt{spline.phi}\left( t \right) - \mathtt{phi\_support}\left( t \right) \\ \mathtt{spline.tau}\left( t \right) &= - \mathtt{tau}\left( t \right) \end{align} \]

Source

# Ideal source applying an externally specified torque to a rotational spline.
#
# This component models an ideal torque source for rotational mechanical systems.
# It takes an external signal, `tau`, which defines the accelerating torque
# to be applied to the connected mechanical `spline`. The component inherits
# its mechanical connection interface, `spline`, from `PartialTorque`.
# The core behavior is established by the following equation that relates the
# input signal `tau` to the torque at the `spline` connector:
# ```math
# spline.\tau = -\tau
# ```
component TorqueSource
  extends PartialTorque
  # Accelerating torque acting at spline
  tau = RealInput() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
relations
  spline.tau = -tau
metadata {"Dyad": {"icons": {"default": "dyad://RotationalComponents/Torque.svg"}}}
end

# Ideal source applying an externally specified torque to a rotational spline.
#
# This component models an ideal torque source for rotational mechanical systems.
# It takes an external signal, `tau`, which defines the accelerating torque
# to be applied to the connected mechanical `spline`. The component inherits
# its mechanical connection interface, `spline`, from `PartialTorque`.
# The core behavior is established by the following equation that relates the
# input signal `tau` to the torque at the `spline` connector:
# ```math
# spline.\tau = -\tau
# ```
component TorqueSource
  # 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
  # Accelerating torque acting at spline
  tau = RealInput() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
relations
  support.phi = phi_support
  support.tau = -spline.tau
  phi = spline.phi-phi_support
  spline.tau = -tau
metadata {"Dyad": {"icons": {"default": "dyad://RotationalComponents/Torque.svg"}}}
end

Test Cases

No test cases defined.

Related

• Examples
• Experiments
• Analyses
• Tests
  • TwoInertiasWithDrivingTorque