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Lever

Lever for translational systems

	Description
	The Lever component represents a mechanical lever. The parameters ${len}_{AB}$ and ${len}_{BC}$ assign the effective lever lengths between flanges. The boolean parameter $absolute$ determines whether the motion constraint is absolute or relative. Absolute constrains the positions, relative constrains the velocities.

	Equations
	${\begin{array}{c} \frac{s_{a} - s_{b}}{{len}_{AB}} = \frac{s_{b} - s_{c}}{{len}_{BC}} & absolute \\ \frac{{\overset{&period;}{s}}_{a} - {\overset{&period;}{s}}_{b}}{{len}_{AB}} = \frac{{\overset{&period;}{s}}_{b} - {\overset{&period;}{s}}_{c}}{{len}_{BC}} & otherwise \end{array}$ $F_{a} + F_{b} + F_{c} = 0$ $F_{a} {len}_{AB} - F_{c} {len}_{BC} = 0$

Variables

Name	Units	Description	Modelica ID
$s_{x}$	$m$	Absolute position of ${tflange}_{x}, x \in \{a, b, c\}$	sx
$F_{x}$	$N$	Force applied to ${tflange}_{x}, x \in \{a, b, c\}$	Fx

Connections

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

Parameters

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

See Also

1-D Mechanical Overview

Common Translational Components

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