Rotational.IdealGear

This component extends from PartialElementaryTwoFlangesAndSupport2

Usage

TranslatedComponents.Rotational.IdealGear(ratio=1)

Parameters:

Name	Description	Units	Default value
useSupport	= true, if support flange enabled, otherwise implicitly grounded	–	false
ratio	Transmission ratio (flange_a.phi/flange_b.phi)	–	1

Connectors

• flange_a - This connector represents a rotational spline with angle and torque as the potential and flow variables, respectively. (Spline)

• flange_b - This connector represents a rotational spline with angle and torque as the potential and flow variables, respectively. (Spline)

• support - This connector represents a rotational spline with angle and torque as the potential and flow variables, respectively. (Spline)

Variables

Name	Description	Units
phi_support	Absolute angle of support flange	rad
phi_a	Angle between left shaft flange and support	rad
phi_b	Angle between right shaft flange and support	rad

Behavior

$$\begin{array}{rl}\mathtt{phi}\mathtt{\_}\mathtt{a}\left(t\right)& =\mathtt{flange}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{phi}\left(t\right)-\mathtt{phi}\mathtt{\_}\mathtt{support}\left(t\right)\\ \mathtt{phi}\mathtt{\_}\mathtt{b}\left(t\right)& =\mathtt{flange}\mathtt{\_}\mathtt{b}\mathtt{.}\mathtt{phi}\left(t\right)-\mathtt{phi}\mathtt{\_}\mathtt{support}\left(t\right)\\ \mathtt{phi}\mathtt{\_}\mathtt{a}\left(t\right)& =\mathtt{ratio}\mathtt{phi}\mathtt{\_}\mathtt{b}\left(t\right)\\ 0& =\mathtt{flange}\mathtt{\_}\mathtt{b}\mathtt{.}\mathtt{tau}\left(t\right)+\mathtt{ratio}\mathtt{flange}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{tau}\left(t\right)\\ \mathtt{phi}\mathtt{\_}\mathtt{support}\left(t\right)& =0\end{array}$$

Source

component IdealGear
  extends PartialElementaryTwoFlangesAndSupport2
  # Transmission ratio (flange_a.phi/flange_b.phi)
  parameter ratio::Real = 1
  # Angle between left shaft flange and support
  variable phi_a::Dyad.Angle
  # Angle between right shaft flange and support
  variable phi_b::Dyad.Angle
relations
  phi_a = flange_a.phi - phi_support
  phi_b = flange_b.phi - phi_support
  phi_a = ratio * phi_b
  0 = ratio * flange_a.tau + flange_b.tau
end

Flattened Source

component IdealGear
  flange_a = Spline()
  flange_b = Spline()
  support = Spline() if useSupport
  # = true, if support flange enabled, otherwise implicitly grounded
  structural parameter useSupport::Boolean = false
  # Absolute angle of support flange
  variable phi_support::Dyad.Angle
  # Transmission ratio (flange_a.phi/flange_b.phi)
  parameter ratio::Real = 1
  # Angle between left shaft flange and support
  variable phi_a::Dyad.Angle
  # Angle between right shaft flange and support
  variable phi_b::Dyad.Angle
relations
  if !useSupport
    phi_support = 0
  else
    initial support.phi = phi_support
  end
  if useSupport
    initial support.tau = -flange_a.tau - flange_b.tau
  end
  phi_a = flange_a.phi - phi_support
  phi_b = flange_b.phi - phi_support
  phi_a = ratio * phi_b
  0 = ratio * flange_a.tau + flange_b.tau
metadata {}
end

Test Cases

No test cases defined.

Related

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