Rotational Speed - MapleSim Help
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Rotational Speed

Forced movement of a flange according to a reference angular velocity signal

 Description The Rotational Speed (or Speed) component generates a forced angular speed according to an input signal, ${w}_{\mathrm{ref}}$ The $\mathrm{Exact}$ boolean parameter determine how ${w}_{\mathrm{ref}}$ is used: When $\mathrm{Exact}$ is true, ${w}_{\mathrm{ref}}$ is used as-is. The input signal must be differentiable. When $\mathrm{Exact}$ is false (the default), ${w}_{\mathrm{ref}}$ is filtered and the derivative of the filtered curve is used to compute the reference acceleration of the flange. This derivative is not computed by numerical differentiation but rather by a first-order filter. The critical frequency (cut-off frequency) of the filter is defined by the parameter ${f}_{\mathrm{crit}}$, which should be higher than the essential low frequencies in the signal.
 Equations $\left\{\begin{array}{cc}\left\{a=0,w={w}_{\mathrm{ref}}\right\}& \mathrm{Exact}\\ \left\{a=\left({w}_{\mathrm{ref}}-w\right){w}_{\mathrm{crit}},a=\stackrel{.}{w}\right\}& \mathrm{otherwise}\end{array}$ ${w}_{\mathrm{crit}}=2\mathrm{\pi }{f}_{\mathrm{crit}}$ $w=\stackrel{.}{\mathrm{\phi }}$ $\mathbf{if}\mathrm{Use Support Flange}\mathbf{then}{\mathrm{\tau }}_{\mathrm{support}}=-\mathrm{\tau }$ $\mathrm{\phi }={\mathrm{\phi }}_{\mathrm{flange}}-\left\{\begin{array}{cc}{\mathrm{\phi }}_{\mathrm{support}}& \mathrm{Use Support}\\ 0& \mathrm{otherwise}\end{array}$

Variables

 Name Units Description Modelica ID $a$ $\frac{\mathrm{rad}}{{s}^{2}}$ Angular acceleration of flange with respect to support a $\mathrm{\phi }$ $\mathrm{rad}$ Angle of flange with respect to support phi ${\mathrm{\phi }}_{\mathrm{flange}}$ $\mathrm{rad}$ Angle of flange flange.phi ${\mathrm{\phi }}_{\mathrm{support}}$ $\mathrm{rad}$ Angle of support support.phi $\mathrm{\tau }$ $Nm$ Accelerating torque acting at flange tau ${\mathrm{\tau }}_{\mathrm{flange}}$ $Nm$ Torque at flange flange.tau ${\mathrm{\tau }}_{\mathrm{support}}$ $Nm$ Torque at support support.tau $w$ $\frac{\mathrm{rad}}{s}$ Angular velocity of flange with respect to support w

Connections

 Name Description Modelica ID $\mathrm{flange}$ Flange of shaft flange $\mathrm{support}$ support ${w}_{\mathrm{ref}}$ Real input; reference angular velocity in $\frac{\mathrm{rad}}{s}$ w_ref

Parameters

 Name Default Units Description Modelica ID Exact $\mathrm{false}$ True (checked) means the reference signal is treated exactly exact ${f}_{\mathrm{crit}}$ $50$ $\mathrm{Hz}$ The critical frequency of the input signal filter when exact is set to false f_crit Use Support Flange $\mathrm{false}$ True (checked) enables the support flange 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.