MultiSensor

Ideal sensor measuring absolute velocity, transmitted force, and power flow between two mechanical flanges.

This sensor measures key physical quantities between its two mechanical connection ports, flange_a and flange_b. It assumes an ideal connection where the positions of the flanges are identical (flange_a.s = flange_b.s). The component outputs:

• The absolute velocity v of flange_a, calculated as $v=\frac{d(flange\mathrm{\_}a.s)}{dt}$.

• The force f transmitted from flange_a to flange_b, taken as $f=flange\mathrm{\_}a.f$.

• The power power flowing from flange_a to flange_b, calculated as $power=f\cdot v$.

These quantities are made available as real output signals for monitoring or control purposes.

This component extends from PartialRelativeSensor

Usage

MultiSensor()

Connectors

• flange_a - (Flange)

• flange_b - (Flange)

• power - This connector represents a real signal as an output from a component (RealOutput)

• f - This connector represents a real signal as an output from a component (RealOutput)

• v - This connector represents a real signal as an output from a component (RealOutput)

Behavior

$$\begin{array}{rl}0& =\mathtt{flange}\mathtt{\_}\mathtt{b}\mathtt{.}\mathtt{f}\left(t\right)+\mathtt{flange}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{f}\left(t\right)\\ \mathtt{flange}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{s}\left(t\right)& =\mathtt{flange}\mathtt{\_}\mathtt{b}\mathtt{.}\mathtt{s}\left(t\right)\\ f\left(t\right)& =\mathtt{flange}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{f}\left(t\right)\\ v\left(t\right)& =\frac{\mathrm{d}\mathtt{flange}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{s}\left(t\right)}{\mathrm{d}t}\\ \mathtt{power}\left(t\right)& =v\left(t\right)f\left(t\right)\end{array}$$

Source

# Ideal sensor measuring absolute velocity, transmitted force, and power flow between two mechanical flanges.
#
# This sensor measures key physical quantities between its two mechanical connection
# ports, `flange_a` and `flange_b`. It assumes an ideal connection where the positions
# of the flanges are identical (`flange_a.s = flange_b.s`). The component outputs:
# - The absolute velocity `v` of `flange_a`, calculated as $v = \frac{d(flange\_a.s)}{dt}$.
# - The force `f` transmitted from `flange_a` to `flange_b`, taken as $f = flange\_a.f$.
# - The power `power` flowing from `flange_a` to `flange_b`, calculated as $power = f \cdot v$.
# These quantities are made available as real output signals for monitoring or control purposes.
component MultiSensor
  extends PartialRelativeSensor
  # Power flowing from `flange_a` to `flange_b` as output signal
  power = RealOutput() [{
    "Dyad": {
      "placement": {"icon": {"x1": 175, "y1": 950, "x2": 275, "y2": 1050, "rot": 90}}
    }
  }]
  # Force transmitted from `flange_a` to `flange_b` as output signal
  f = RealOutput() [{
    "Dyad": {
      "placement": {"icon": {"x1": 450, "y1": 950, "x2": 550, "y2": 1050, "rot": 90}}
    }
  }]
  # Absolute velocity of `flange_a` as output signal
  v = RealOutput() [{
    "Dyad": {
      "placement": {"icon": {"x1": 725, "y1": 950, "x2": 825, "y2": 1050, "rot": 90}}
    }
  }]
relations
  flange_a.s = flange_b.s
  f = flange_a.f
  v = der(flange_a.s)
  power = f*v
end

Flattened Source

# Ideal sensor measuring absolute velocity, transmitted force, and power flow between two mechanical flanges.
#
# This sensor measures key physical quantities between its two mechanical connection
# ports, `flange_a` and `flange_b`. It assumes an ideal connection where the positions
# of the flanges are identical (`flange_a.s = flange_b.s`). The component outputs:
# - The absolute velocity `v` of `flange_a`, calculated as $v = \frac{d(flange\_a.s)}{dt}$.
# - The force `f` transmitted from `flange_a` to `flange_b`, taken as $f = flange\_a.f$.
# - The power `power` flowing from `flange_a` to `flange_b`, calculated as $power = f \cdot v$.
# These quantities are made available as real output signals for monitoring or control purposes.
component MultiSensor
  # Negative connection flange of the sensor, often considered the reference point.
  flange_a = Flange() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  # Positive connection flange of the sensor, where the measurement is taken relative to flange_a.
  flange_b = Flange() [{"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}]
  # Power flowing from `flange_a` to `flange_b` as output signal
  power = RealOutput() [{
    "Dyad": {
      "placement": {"icon": {"x1": 175, "y1": 950, "x2": 275, "y2": 1050, "rot": 90}}
    }
  }]
  # Force transmitted from `flange_a` to `flange_b` as output signal
  f = RealOutput() [{
    "Dyad": {
      "placement": {"icon": {"x1": 450, "y1": 950, "x2": 550, "y2": 1050, "rot": 90}}
    }
  }]
  # Absolute velocity of `flange_a` as output signal
  v = RealOutput() [{
    "Dyad": {
      "placement": {"icon": {"x1": 725, "y1": 950, "x2": 825, "y2": 1050, "rot": 90}}
    }
  }]
relations
  0 = flange_a.f+flange_b.f
  flange_a.s = flange_b.s
  f = flange_a.f
  v = der(flange_a.s)
  power = f*v
metadata {}
end

Test Cases

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

using TranslationalComponents
using ModelingToolkit, OrdinaryDiffEqDefault
using Plots
using CSV, DataFrames

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

"/home/actions-runner-10/.julia/packages/TranslationalComponents/khJb7/test/snapshots"

Related

• Examples

• Experiments

• Analyses