PartialElementaryOneSplineAndSupport

A base model for a mechanical component with a primary rotational spline and an interconnected support spline.

This partial component models the fundamental interaction between a primary rotational shaft spline and a support spline. The support spline's angle is explicitly defined by the variable phi_support. The key dynamic relationship is that the torque experienced by the support spline is equal in magnitude but opposite in direction to the torque on the primary shaft spline, representing a common mechanical reaction. This model is intended as a foundational element for more complex textual models. The defining equations are:

\[\text{support}.\phi = \phi_{support}\]

\[\text{support}.\tau = -\text{spline}.\tau\]

Usage

PartialElementaryOneSplineAndSupport()

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

Source

# A base model for a mechanical component with a primary rotational spline and an interconnected support spline.
#
# This partial component models the fundamental interaction between a primary rotational shaft spline
# and a support spline. The support spline's angle is explicitly defined by the variable `phi_support`.
# The key dynamic relationship is that the torque experienced by the support spline is equal in
# magnitude but opposite in direction to the torque on the primary shaft spline, representing a common
# mechanical reaction. This model is intended as a foundational element for more complex textual models.
# The defining equations are:
# ```math
# \text{support}.\phi = \phi_{support}
# ```
# ```math
# \text{support}.\tau = -\text{spline}.\tau
# ```
partial component PartialElementaryOneSplineAndSupport
  # 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
relations
  support.phi = phi_support
  support.tau = -spline.tau
end

# A base model for a mechanical component with a primary rotational spline and an interconnected support spline.
#
# This partial component models the fundamental interaction between a primary rotational shaft spline
# and a support spline. The support spline's angle is explicitly defined by the variable `phi_support`.
# The key dynamic relationship is that the torque experienced by the support spline is equal in
# magnitude but opposite in direction to the torque on the primary shaft spline, representing a common
# mechanical reaction. This model is intended as a foundational element for more complex textual models.
# The defining equations are:
# ```math
# \text{support}.\phi = \phi_{support}
# ```
# ```math
# \text{support}.\tau = -\text{spline}.\tau
# ```
partial component PartialElementaryOneSplineAndSupport
  # 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
relations
  support.phi = phi_support
  support.tau = -spline.tau
metadata {}
end

Test Cases

No test cases defined.

Related

• Examples
• Experiments
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