Mass with Stop and Friction - MapleSim Help

Mass With Stop And Friction

Sliding mass with hard stop and Stribeck friction

 Description The Mass With Stop And Friction component models a mass sliding with friction on a fixed surface and with perfectly plastic stops in both directions. A finite state machine ensures that the mass transitions correctly from stuck to sliding. The distance between the left and right flanges is given by parameter $L$. The coordinate $s$  corresponds to the midpoint of the two flanges. $L={s}_{a}-{s}_{b}\phantom{\rule[-0.0ex]{4.0ex}{0.0ex}}s=\frac{1}{2}\left({s}_{a}+{s}_{b}\right)\phantom{\rule[-0.0ex]{3.0ex}{0.0ex}}v=\stackrel{.}{s}\phantom{\rule[-0.0ex]{3.0ex}{0.0ex}}a=\stackrel{.}{v}$ With the mass sliding in the positive direction, the frictional force is $f={F}_{\mathrm{Coulomb}}+{F}_{\mathrm{prop}}v+{F}_{\mathrm{Stribeck}}\mathrm{exp}\left(-{f}_{\mathrm{exp}}v\right)$ When the velocity goes to zero, the mass becomes stuck. It resumes sliding when the magnitude of the applied force exceeds the maximum static friction force, ${f}_{0}={F}_{\mathrm{Coulomb}}+{F}_{\mathrm{Stribeck}}$

Variables

 Name Units Description Modelica ID $a$ $\frac{m}{{s}^{2}}$ Acceleration of center of mass a $s$ $m$ Position of center of mass s ${s}_{x}$ $m$ Position of flange $x,x\in \left\{a,b\right\}$ flange_x.s $v$ $\frac{m}{s}$ Velocity of center of mass v

Connections

 Name Description Modelica ID ${\mathrm{flange}}_{a}$ Left flange of translational component flange_a ${\mathrm{flange}}_{b}$ Right flange of translational component flange_b $\mathrm{heatPort}$ heatPort

Parameters

General Parameters

 Name Default Units Description Modelica ID ${s}_{\mathrm{max}}$ $25$ $m$ Right stop for (right end of) sliding mass smax ${s}_{\mathrm{min}}$ $-25$ $m$ Left stop for (left end of) sliding mass smin $L$ $0$ $m$ Length of component, from left flange to right flange L $m$ $1$ $\mathrm{kg}$ Mass m ${F}_{\mathrm{prop}}$ $1$ $\frac{Ns}{m}$ Velocity-dependent friction F_prop ${F}_{\mathrm{Coulomb}}$ $5$ $N$ Constant friction: Coulomb force F_Coulomb ${F}_{\mathrm{Stribeck}}$ $10$ $N$ Stribeck effect F_Stribeck ${f}_{\mathrm{exp}}$ 2 $\frac{Ns}{m}$ Exponential decay fexp Use Heat Port $\mathrm{false}$ True (checked) means heat port is enabled useHeatPort

 Name Default Units Description Modelica ID ${v}_{\mathrm{small}}$ $0.001$ $\frac{m}{s}$ Relative velocity near zero v_small