PartialCompliant

Defines a generic compliant rotational connection between two shaft splines.

This partial component models the interaction between two rotational splines, spline_a and spline_b. The relative angle, phi_rel, between them is defined by the equation:

$${\varphi }_{rel}=\text{spline\_b}.\varphi -\text{spline\_a}.\varphi$$

The component also establishes the torque interactions. The torque on spline_b (accessed via spline_b.tau in its connector) is set to the internal model torque tau. Conversely, the torque on spline_a (accessed via spline_a.tau) is set to -tau, ensuring action-reaction principles are met. These are described by the equations:

$$\text{spline\_b}.\tau =\tau$$$$\text{spline\_a}.\tau =-\tau$$

As a partial model, it is intended to be extended by other components. These extending components would typically define the specific constitutive relationship for the compliance, for example, by expressing tau as a function of phi_rel (e.g., for a torsional spring or damper).

Usage

RotationalComponents.PartialCompliant()

Connectors

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

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

Variables

Name	Description	Units
phi_rel	Relative rotation angle between spline_b and spline_a	rad
tau	Torque transmitted between the splines	N.m

Source

"""
Defines a generic compliant rotational connection between two shaft splines.

This partial component models the interaction between two rotational splines, `spline_a` and `spline_b`.
The relative angle, `phi_rel`, between them is defined by the equation:

math \phi_{rel} = \text{spline_b}.\phi - \text{spline_a}.\phi

The component also establishes the torque interactions. The torque on `spline_b` (accessed via `spline_b.tau` in its connector)
is set to the internal model torque `tau`. Conversely, the torque on `spline_a` (accessed via `spline_a.tau`) is set to `-tau`,
ensuring action-reaction principles are met. These are described by the equations:

math \text{spline_b}.\tau = \tau

math \text{spline_a}.\tau = -\tau

As a `partial` model, it is intended to be extended by other components. These extending components
would typically define the specific constitutive relationship for the compliance, for example, by expressing
`tau` as a function of `phi_rel` (e.g., for a torsional spring or damper).
"""
partial component PartialCompliant
  "First rotational spline interface"
  spline_a = Spline() {"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}
  "Second rotational spline interface"
  spline_b = Spline() {"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}
  "Relative rotation angle between spline_b and spline_a"
  variable phi_rel::Angle
  "Torque transmitted between the splines"
  variable tau::Torque
relations
  phi_rel = spline_b.phi - spline_a.phi
  spline_b.tau = tau
  spline_a.tau = -tau
end

Flattened Source

"""
Defines a generic compliant rotational connection between two shaft splines.

This partial component models the interaction between two rotational splines, `spline_a` and `spline_b`.
The relative angle, `phi_rel`, between them is defined by the equation:

math \phi_{rel} = \text{spline_b}.\phi - \text{spline_a}.\phi

The component also establishes the torque interactions. The torque on `spline_b` (accessed via `spline_b.tau` in its connector)
is set to the internal model torque `tau`. Conversely, the torque on `spline_a` (accessed via `spline_a.tau`) is set to `-tau`,
ensuring action-reaction principles are met. These are described by the equations:

math \text{spline_b}.\tau = \tau

math \text{spline_a}.\tau = -\tau

As a `partial` model, it is intended to be extended by other components. These extending components
would typically define the specific constitutive relationship for the compliance, for example, by expressing
`tau` as a function of `phi_rel` (e.g., for a torsional spring or damper).
"""
partial component PartialCompliant
  "First rotational spline interface"
  spline_a = Spline() {"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}
  "Second rotational spline interface"
  spline_b = Spline() {"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}
  "Relative rotation angle between spline_b and spline_a"
  variable phi_rel::Angle
  "Torque transmitted between the splines"
  variable tau::Torque
relations
  phi_rel = spline_b.phi - spline_a.phi
  spline_b.tau = tau
  spline_a.tau = -tau
metadata {}
end

Test Cases

No test cases defined.

Related

• Examples

• Experiments

• Analyses