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

AccelerationSensor()

Connectors

• flange - (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} \\
# 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 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} \\
# 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() [{"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

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

• Tests

  • SensorsTest