Ideal Rotational to Translational Gear - MapleSim Help

Ideal Rotational to Translational Gear

Gearbox transforming rotational into translational motion

 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 $0=r{\mathrm{\tau }}_{R}+{f}_{T}$ ${\mathrm{\phi }}_{R}-\left(\left\{\begin{array}{cc}{\mathrm{\phi }}_{\mathrm{SR}}& \mathrm{Use Support R}\\ 0& \mathrm{otherwise}\end{array}\right)=r\left({s}_{T}-\left(\left\{\begin{array}{cc}{s}_{\mathrm{ST}}& \mathrm{Use Support T}\\ 0& \mathrm{otherwise}\end{array}\right)\right)$ $\mathbf{if}\mathrm{Use Support R}\mathbf{then}{\mathrm{\tau }}_{\mathrm{SR}}=-{\mathrm{\tau }}_{R}$ $\mathbf{if}\mathrm{Use Support T}\mathbf{then}{f}_{\mathrm{ST}}=-{f}_{T}$

Variables

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

Connections

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

Parameters

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