PrescribeInitialAcceleration

Defines a specific initial acceleration for a one-dimensional mechanical translational flange.

This component kinematically prescribes an initial acceleration via its flange connector. The value of this initial acceleration is determined by the parameter a0. The component exerts no force on the connected system. The governing equations are:

\[\begin{align*} a(0) &= a0 \\ \frac{d^2 flange.s}{dt^2} &= a \\ flange.f &= 0 \end{align*}\]

Usage

PrescribeInitialAcceleration(a0)

Parameters:

Connectors

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

Variables

Behavior

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

Source

# Defines a specific initial acceleration for a one-dimensional mechanical translational flange.
#
# This component kinematically prescribes an initial acceleration via its `flange` connector.
# The value of this initial acceleration is determined by the parameter `a0`.
# The component exerts no force on the connected system.
# The governing equations are:
# ```math
# \begin{align*}
# a(0) &= a0 \\
# \frac{d^2 flange.s}{dt^2} &= a \\
# flange.f &= 0
# \end{align*}
# ```
component PrescribeInitialAcceleration
  # Mechanical translational connector to which the initial acceleration is applied.
  flange = Flange() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  # Prescribed initial acceleration value for the flange.
  parameter a0::Acceleration
  # Internal variable representing the acceleration of the flange.
  variable a::Acceleration
relations
  initial a = a0
  der(der(flange.s)) = a
  flange.f = 0
metadata {
  "Dyad": {
    "labels": [{"label": "initial a=$(a0)", "x": 500, "y": 800, "rot": 0}],
    "icons": {"default": "dyad://TranslationalComponents/Position.svg"}
  }
}
end

# Defines a specific initial acceleration for a one-dimensional mechanical translational flange.
#
# This component kinematically prescribes an initial acceleration via its `flange` connector.
# The value of this initial acceleration is determined by the parameter `a0`.
# The component exerts no force on the connected system.
# The governing equations are:
# ```math
# \begin{align*}
# a(0) &= a0 \\
# \frac{d^2 flange.s}{dt^2} &= a \\
# flange.f &= 0
# \end{align*}
# ```
component PrescribeInitialAcceleration
  # Mechanical translational connector to which the initial acceleration is applied.
  flange = Flange() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  # Prescribed initial acceleration value for the flange.
  parameter a0::Acceleration
  # Internal variable representing the acceleration of the flange.
  variable a::Acceleration
relations
  initial a = a0
  der(der(flange.s)) = a
  flange.f = 0
metadata {
  "Dyad": {
    "labels": [{"label": "initial a=$(a0)", "x": 500, "y": 800, "rot": 0}],
    "icons": {"default": "dyad://TranslationalComponents/Position.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

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