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Sensors.AccelerationSensor.md

Sensors.AccelerationSensor ​

Ideal sensor measuring the absolute translational acceleration of a flange.

This component measures the absolute acceleration of its connected flange. It first determines the absolute velocity of the flange by taking the time derivative of the flange's absolute position (). The absolute acceleration is then computed as the time derivative of this velocity. The governing equations are:

where is the internal absolute velocity variable and is the output signal representing the absolute acceleration. The position is accessed via the flange.s variable, with the flange itself being inherited from PartialAbsoluteSensor.

This component extends from TranslationalComponents.Interfaces.PartialAbsoluteSensor

Usage ​

TranslationalComponents.Sensors.AccelerationSensor()

Connectors ​

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

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

Variables ​

NameDescriptionUnits
vInternal variable representing the absolute velocity of the flangem/s

Behavior ​

Source ​

dyad
"""
Ideal sensor measuring the absolute translational acceleration of a flange.

This component measures the absolute acceleration of its connected flange.
It first determines the absolute velocity of the flange by taking the time derivative
of the flange's absolute position ($\text{flange.s}$). The absolute acceleration
is then computed as the time derivative of this velocity.
The governing equations are:
```math
\begin{align*}
v &= \frac{d(\text{flange.s})}{dt} \\
a = \frac{dv}{dt} &= \frac{d^2({\text{flange.s}})}{dt^2}
\end{align*}
```
where $v$ is the internal absolute velocity variable and $a$ is the
output signal representing the absolute acceleration. The position $\text{flange.s}$
is accessed via the `flange.s` variable, with the `flange` itself being inherited from `PartialAbsoluteSensor`.
"""
component AccelerationSensor
  extends TranslationalComponents.Interfaces.PartialAbsoluteSensor
  "Output signal representing the absolute acceleration of the flange"
  a = RealOutput(units = "m/s^2") {"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}
  "Internal variable representing the absolute velocity of the flange"
  variable v::Velocity
relations
  v = der(flange.s)
  a = der(v)
metadata {
  "Dyad": {"icons": {"default": "dyad://TranslationalComponents/AbsoluteSensor.svg"}}
}
end
Flattened Source
dyad
"""
Ideal sensor measuring the absolute translational acceleration of a flange.

This component measures the absolute acceleration of its connected flange.
It first determines the absolute velocity of the flange by taking the time derivative
of the flange's absolute position ($\text{flange.s}$). The absolute acceleration
is then computed as the time derivative of this velocity.
The governing equations are:
```math
\begin{align*}
v &= \frac{d(\text{flange.s})}{dt} \\
a = \frac{dv}{dt} &= \frac{d^2({\text{flange.s}})}{dt^2}
\end{align*}
```
where $v$ is the internal absolute velocity variable and $a$ is the
output signal representing the absolute acceleration. The position $\text{flange.s}$
is accessed via the `flange.s` variable, with the `flange` itself being inherited from `PartialAbsoluteSensor`.
"""
component AccelerationSensor
  "Mechanical flange connector through which the variable is sensed."
  flange = Flange() {"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}
  "Output signal representing the absolute acceleration of the flange"
  a = RealOutput(units = "m/s^2") {"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}
  "Internal variable representing the absolute velocity of the flange"
  variable v::Velocity
relations
  0 = flange.f
  v = der(flange.s)
  a = der(v)
metadata {
  "Dyad": {"icons": {"default": "dyad://TranslationalComponents/AbsoluteSensor.svg"}}
}
end


Test Cases ​

No test cases defined.

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