PrescribeInitialVelocity

Sets an initial velocity condition for a translational mechanical flange.

This component defines the starting velocity of a one-dimensional mechanical translational interface, represented by its flange. It utilizes a parameter v0 to specify this desired initial velocity. At the beginning of a simulation, an internal variable v (which also represents the flange's velocity) is set to v0. The component ensures that the derivative of the flange's position, der(flange.s), is equal to this velocity v. Additionally, it exerts no force through the flange, as indicated by flange.f = 0, acting as a pure kinematic specification for the initial velocity. The key relations are:

\[\begin{align*} v(0) &= v0 \\ \frac{d(flange.s)}{dt} &= v\\ flange.f &= 0 \end{align*}\]

Usage

TranslationalComponents.PrescribeInitialVelocity(v0)

Parameters:

Connectors

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

Variables

Behavior

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

Source

# Sets an initial velocity condition for a translational mechanical flange.
#
# This component defines the starting velocity of a one-dimensional mechanical
# translational interface, represented by its `flange`. It utilizes a parameter `v0`
# to specify this desired initial velocity. At the beginning of a simulation,
# an internal variable `v` (which also represents the flange's velocity) is set
# to `v0`. The component ensures that the derivative of the flange's position,
# `der(flange.s)`, is equal to this velocity `v`. Additionally, it exerts no
# force through the flange, as indicated by `flange.f = 0`, acting as a pure
# kinematic specification for the initial velocity. The key relations are:
# ```math
# \begin{align*}
# v(0) &= v0 \\
# \frac{d(flange.s)}{dt} &= v\\
# flange.f &= 0
# \end{align*}
# ```
component PrescribeInitialVelocity
  # Represents a 1D mechanical translational interface
  flange = Flange() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  # User-defined initial velocity for the flange
  parameter v0::Velocity
  # Velocity of the connected flange
  variable v::Velocity
relations
  initial v = v0
  der(flange.s) = v
  flange.f = 0
metadata {
  "Dyad": {
    "labels": [{"label": "initial v=$(v0)", "x": 500, "y": 800, "rot": 0}],
    "icons": {"default": "dyad://TranslationalComponents/Position.svg"}
  }
}
end

# Sets an initial velocity condition for a translational mechanical flange.
#
# This component defines the starting velocity of a one-dimensional mechanical
# translational interface, represented by its `flange`. It utilizes a parameter `v0`
# to specify this desired initial velocity. At the beginning of a simulation,
# an internal variable `v` (which also represents the flange's velocity) is set
# to `v0`. The component ensures that the derivative of the flange's position,
# `der(flange.s)`, is equal to this velocity `v`. Additionally, it exerts no
# force through the flange, as indicated by `flange.f = 0`, acting as a pure
# kinematic specification for the initial velocity. The key relations are:
# ```math
# \begin{align*}
# v(0) &= v0 \\
# \frac{d(flange.s)}{dt} &= v\\
# flange.f &= 0
# \end{align*}
# ```
component PrescribeInitialVelocity
  # Represents a 1D mechanical translational interface
  flange = Flange() [{"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}]
  # User-defined initial velocity for the flange
  parameter v0::Velocity
  # Velocity of the connected flange
  variable v::Velocity
relations
  initial v = v0
  der(flange.s) = v
  flange.f = 0
metadata {
  "Dyad": {
    "labels": [{"label": "initial v=$(v0)", "x": 500, "y": 800, "rot": 0}],
    "icons": {"default": "dyad://TranslationalComponents/Position.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

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