Sign Torque

Constant Torque changing sign with speed

 Description The Sign Torque component generates a constant torque that changes sign with direction of rotation. The parameter reg selects the equation for the torque when the magnitude of the angular velocity is below ${w}_{0}$.
 Equations $\mathrm{\tau }=-{\mathrm{\tau }}_{\mathrm{flange}}={\mathrm{\tau }}_{\mathrm{const}}\left\{\begin{array}{cc}\frac{2}{1+\mathrm{exp}\left(-100\frac{w}{{w}_{0}}\right)}-1\phantom{\rule[-0.0ex]{20.0ex}{0.0ex}}& \mathrm{reg}=\mathrm{Exp}\\ \left\{\begin{array}{cc}1& {w}_{0}\le \left|w\right|\\ \mathrm{sin}\left(\frac{1}{2}\mathrm{\pi }\frac{w}{{w}_{0}}\right)& \mathrm{otherwise}\end{array}& \mathrm{reg}=\mathrm{Sine}\\ \left\{\begin{array}{cc}1& {w}_{0}\le \left|w\right|\\ \frac{w}{{w}_{0}}& \mathrm{otherwise}\end{array}\phantom{\rule[-0.0ex]{6.5ex}{0.0ex}}& \mathrm{reg}=\mathrm{Linear}\\ \left\{\begin{array}{cc}1& {w}_{0}\le \left|w\right|\\ \left(1-\mathrm{cos}\left(\frac{1}{2}\mathrm{\pi }\frac{w}{{w}_{0}}\right)\right)& \mathrm{otherwise}\end{array}& \mathrm{otherwise}\end{array}$ $\mathrm{\phi }={\mathrm{\phi }}_{\mathrm{flange}}-{\mathrm{\phi }}_{\mathrm{support}}$ $w=\frac{d\mathrm{\phi }}{\mathrm{dt}}$ $\mathbf{if}\mathrm{Use Support Flange}\mathbf{then}{\mathrm{\tau }}_{\mathrm{support}}=-\mathrm{\tau }$ $\mathrm{\phi }={\mathrm{\phi }}_{\mathrm{flange}}-\left\{\begin{array}{cc}{\mathrm{\phi }}_{\mathrm{support}}& \mathrm{Use Support}\\ 0& \mathrm{otherwise}\end{array}$

Variables

 Name Units Description Modelica ID $\mathrm{\phi }$ $\mathrm{rad}$ Angle of flange with respect to support phi $w$ $\frac{\mathrm{rad}}{s}$ Angular velocity of flange with respect to support w $\mathrm{\tau }$ $Nm$ Accelerating torque acting at flange tau

Connections

 Name Description Modelica ID $\mathrm{flange}$ Flange of shaft flange $\mathrm{support}$ support

Parameters

 Name Default Units Description Modelica ID ${\mathrm{\tau }}_{\mathrm{const}}$ $Nm$ Constant torque tau_constant $\mathrm{reg}$ $\mathrm{Exp}$ Type of regularization reg ${w}_{0}$ $0.1$ $\frac{\mathrm{rad}}{s}$ Regularization below ${w}_{0}$ w0 Use Support Flange $\mathrm{false}$ True (checked) enables the support port useSupport

 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.