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`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 $v = \frac{d(flange\_a.s)}{dt}$.
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.

PartialRelativeSensor

Usage

MultiSensor()

Connectors

flange_a - This connector represents a mechanical flange with position and force as the potential and flow variables, respectively. (Flange)
flange_b - This connector represents a mechanical flange with position and force as the potential and flow variables, respectively. (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

\[ \begin{align} 0 &= \mathtt{flange\_b.f}\left( t \right) + \mathtt{flange\_a.f}\left( t \right) \\ \mathtt{flange\_a.s}\left( t \right) &= \mathtt{flange\_b.s}\left( t \right) \\ f\left( t \right) &= \mathtt{flange\_a.f}\left( t \right) \\ v\left( t \right) &= \frac{\mathrm{d} \mathtt{flange\_a.s}\left( t \right)}{\mathrm{d}t} \\ \mathtt{power}\left( t \right) &= v\left( t \right) f\left( t \right) \end{align} \]

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

No test cases defined.

Examples
Experiments
Analyses

MultiSensor