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 ($\text{flange.s}$). The absolute acceleration is then computed as the time derivative of this velocity. The governing equations are:

$$\begin{array}{rl}v& =\frac{d(\text{flange.s})}{dt}\\ a=\frac{dv}{dt}& =\frac{d^2(\text{flange.s})}{d{t}^2}\end{array}$$

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.

This component extends from PartialAbsoluteSensor

Usage

TranslationalComponents.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

Name	Description	Units
v	Internal variable representing the absolute velocity of the flange	m/s

Behavior

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

Source

"""
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} MarkdownAST.LineBreak()

a = \frac{dv}{dt} &= \frac{d^2({\text{flange.s}})}{dt^2} \end

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 PartialAbsoluteSensor
  "Output signal representing the absolute acceleration of the flange"
  a = RealOutput() {"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

"""
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} MarkdownAST.LineBreak()

a = \frac{dv}{dt} &= \frac{d^2({\text{flange.s}})}{dt^2} \end

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() {"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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  • SensorsTest