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:

$$\text{support}.\varphi ={\varphi }_{support}$$$$\text{support}.\tau =-\text{spline}.\tau$$

Usage

RotationalComponents.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

Name	Description	Units
phi_support	Absolute angle of the support spline	rad

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_

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

Flattened 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_

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

• Analyses