PartialElementaryTwoSplinesAndSupport

A foundational model for a mechanical component with two rotational shaft interfaces and a supporting housing, establishing torque balance.

This partial component provides a common base for models involving two rotational mechanical splines (flanges), spline_a and spline_b, and a central support spline, support, typically representing a casing or ground. The absolute rotational angle of the support spline (support.phi) is equated to the model variable phi_support. The fundamental behavior defined is the torque balance on the support structure. The torque experienced by the support (support.tau) is equal and opposite to the sum of the torques from spline_a (spline_a.tau) and spline_b (spline_b.tau). These relationships are mathematically expressed as:

$$\text{support}.\varphi ={\varphi }_{\text{support}}$$$$\text{support}.\tau =-(\text{spline\_a}.\tau +\text{spline\_b}.\tau )$$

This component is 'partial', meaning it is intended to be extended by other components that will further define the relationships between the spline angles and torques or connect them to other elements.

Usage

PartialElementaryTwoSplinesAndSupport()

Connectors

• spline_a - (Spline)

• spline_b - (Spline)

• support - (Spline)

Variables

Name	Description	Units
phi_support	Variable for the absolute angle of the support spline	rad

Source

# A foundational model for a mechanical component with two rotational shaft interfaces and a supporting housing, establishing torque balance.
#
# This partial component provides a common base for models involving two rotational
# mechanical splines (flanges), `spline_a` and `spline_b`, and a central support
# spline, `support`, typically representing a casing or ground. The absolute
# rotational angle of the `support` spline (`support.phi`) is equated to the model
# variable `phi_support`. The fundamental behavior defined is the torque balance on
# the support structure. The torque experienced by the support (`support.tau`) is
# equal and opposite to the sum of the torques from `spline_a` (`spline_a.tau`) and
# `spline_b` (`spline_b.tau`).
# These relationships are mathematically expressed as:
# ```math
# \text{support}.\phi = \phi_{\text{support}}
# ```
# ```math
# \text{support}.\tau = -(\text{spline\_a}.\tau + \text{spline\_b}.\tau)
# ```
# This component is 'partial', meaning it is intended to be extended by other components that will further
# define the relationships between the spline angles and torques or connect them to other elements.
partial component PartialElementaryTwoSplinesAndSupport
  # First rotational 1-dimensional shaft spline connector (flange_a)
  spline_a = Spline() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  # Second rotational 1-dimensional shaft spline connector (flange_b)
  spline_b = Spline() [{"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}]
  # Support spline connector, typically for housing or reaction torques
  support = Spline() [{
    "Dyad": {
      "placement": {"icon": {"iconName": "support", "x1": 450, "y1": 950, "x2": 550, "y2": 1050}}
    }
  }]
  # Variable for the absolute angle of the support spline
  variable phi_support::Angle
relations
  support.phi = phi_support
  support.tau = -spline_a.tau-spline_b.tau
end

Flattened Source

# A foundational model for a mechanical component with two rotational shaft interfaces and a supporting housing, establishing torque balance.
#
# This partial component provides a common base for models involving two rotational
# mechanical splines (flanges), `spline_a` and `spline_b`, and a central support
# spline, `support`, typically representing a casing or ground. The absolute
# rotational angle of the `support` spline (`support.phi`) is equated to the model
# variable `phi_support`. The fundamental behavior defined is the torque balance on
# the support structure. The torque experienced by the support (`support.tau`) is
# equal and opposite to the sum of the torques from `spline_a` (`spline_a.tau`) and
# `spline_b` (`spline_b.tau`).
# These relationships are mathematically expressed as:
# ```math
# \text{support}.\phi = \phi_{\text{support}}
# ```
# ```math
# \text{support}.\tau = -(\text{spline\_a}.\tau + \text{spline\_b}.\tau)
# ```
# This component is 'partial', meaning it is intended to be extended by other components that will further
# define the relationships between the spline angles and torques or connect them to other elements.
partial component PartialElementaryTwoSplinesAndSupport
  # First rotational 1-dimensional shaft spline connector (flange_a)
  spline_a = Spline() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  # Second rotational 1-dimensional shaft spline connector (flange_b)
  spline_b = Spline() [{"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}]
  # Support spline connector, typically for housing or reaction torques
  support = Spline() [{
    "Dyad": {
      "placement": {"icon": {"iconName": "support", "x1": 450, "y1": 950, "x2": 550, "y2": 1050}}
    }
  }]
  # Variable for the absolute angle of the support spline
  variable phi_support::Angle
relations
  support.phi = phi_support
  support.tau = -spline_a.tau-spline_b.tau
metadata {}
end

Test Cases

This is setup code, that must be run before each test case.

using RotationalComponents
using ModelingToolkit, OrdinaryDiffEqDefault
using Plots
using CSV, DataFrames

snapshotsdir = joinpath(dirname(dirname(pathof(RotationalComponents))), "test", "snapshots")

"/home/actions-runner-10/.julia/packages/RotationalComponents/0VPxm/test/snapshots"

Related

• Examples

• Experiments

• Analyses