Lever

Lever for translational systems

 Description The Lever component represents a mechanical lever. The parameters ${\mathrm{len}}_{\mathrm{AB}}$ and ${\mathrm{len}}_{\mathrm{BC}}$ assign the effective lever lengths between flanges. The boolean parameter $\mathrm{absolute}$ determines whether the motion constraint is absolute or relative. Absolute constrains the positions, relative constrains the velocities.
 Equations $\left\{\begin{array}{cc}\frac{{s}_{a}-{s}_{b}}{{\mathrm{len}}_{\mathrm{AB}}}=\frac{{s}_{b}-{s}_{c}}{{\mathrm{len}}_{\mathrm{BC}}}& \mathrm{absolute}\\ \frac{{\stackrel{.}{s}}_{a}-{\stackrel{.}{s}}_{b}}{{\mathrm{len}}_{\mathrm{AB}}}=\frac{{\stackrel{.}{s}}_{b}-{\stackrel{.}{s}}_{c}}{{\mathrm{len}}_{\mathrm{BC}}}& \mathrm{otherwise}\end{array}$ ${F}_{a}+{F}_{b}+{F}_{c}=0$ ${F}_{a}{\mathrm{len}}_{\mathrm{AB}}-{F}_{c}{\mathrm{len}}_{\mathrm{BC}}=0$

Variables

 Name Units Description Modelica ID ${s}_{x}$ $m$ Absolute position of ${\mathrm{tflange}}_{x},x\in \left\{a,b,c\right\}$ sx ${F}_{x}$ $N$ Force applied to ${\mathrm{tflange}}_{x},x\in \left\{a,b,c\right\}$ Fx

Connections

 Name Description Modelica ID ${\mathrm{tflange}}_{a}$ flange a (left) tflange_a ${\mathrm{tflange}}_{b}$ flange b (middle) tflange_b ${\mathrm{tflange}}_{c}$ flange c (right) tflange_c

Parameters

 Name Default Units Description Modelica ID ${\mathrm{len}}_{\mathrm{AB}}$ $1$ $m$ Lever length between ${\mathrm{tflange}}_{a}$ and ${\mathrm{tflange}}_{b}$ lenAB ${\mathrm{len}}_{\mathrm{BC}}$ $1$ $m$ Lever length between ${\mathrm{tflange}}_{b}$ and ${\mathrm{tflange}}_{c}$ lenBC $\mathrm{absolute}$ $\mathrm{false}$ True (checked) selects absolute kinematic constraint absolute