Ideal Rotation to Translation Gear - MapleSim Help

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Ideal Rotational to Translational Gear

Gearbox transforming rotational into translational motion

Modelica Standard Library

	Description
	The Ideal Rotational to Translational Gear (or Ideal Gear R2T) component transforms 1D-rotation to 1D-translation. It is lossless and has no mass or inertia. The Use Support R and Use Support T boolean parameters enable rotational and translational support flanges. When true (checked) the corresponding support flange must be connected. When false the flange is internally fixed to ground.

	Equations
	$0 = r τ_{R} + f_{T}$ $φ_{R} - ({\begin{array}{c} φ_{SR} & Use Support R \\ 0 & otherwise \end{array}) = r (s_{T} - ({\begin{array}{c} s_{ST} & Use Support T \\ 0 & otherwise \end{array}))$ $if Use Support R then τ_{SR} = - τ_{R}$ $if Use Support T then f_{ST} = - f_{T}$

Variables

Name	Units	Description	Modelica ID
$φ_{R}$	$rad$	Absolute angle of $flangeR$	flangeR.phi
$φ_{SR}$	$rad$	Absolute angle of $supportR$	supportR.phi
$τ_{R}$	$N m$	Torque applied to $flangeR$	flangeR.tau
$τ_{SR}$	$N m$	Torque applied to $supportR$	supportR.tau
$f_{T}$	$N$	Force applied to $flangeT$	flangeT.f
$f_{ST}$	$N$	Force applied to $supportT$	supportT.f
$s_{T}$	$m$	Absolute position of $flangeT$	flangeT.s
$s_{ST}$	$m$	Absolute position of $supportT$	supportT.s

Connections

Name	Description	Modelica ID
$flangeR$	Flange of rotational shaft	flangeR
$flangeT$	Flange of translational rod	flangeT
$supportR$	Rotational Conditional Support Flange	supportR
$supportT$	Translational Conditional Support Flange	supportT

Parameters

Name	Default	Units	Description	Modelica ID
$r$	$1$	$\frac{rad}{m}$	Transmission ratio	ratio
Use Support R	$false$		True (checked) enables the rotational support flange	useSupportR
Use Support T	$false$		True (checked) enables the translational support flange	useSupportT

	Modelica Standard Library
	The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

1-D Mechanical Overview

Rotational Bearings and Gears

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