Translational Spring
Purpose
Ideal translational spring
Library
Mechanical / Translational / Components
Description
The Translational Spring models an ideal linear spring in a translational system described with the following equations:
where \(F\) is the force flow from the unmarked towards the marked flange, \(x\) is the displacement of the marked flange with respect to the unmarked one, and \(x_0\) is the equilibrium displacement.
Note
A translational spring may not be connected in series with a force source. Doing so would create a dependency between an input variable (the source force) and a state variable (the spring force) in the underlying state-space equations.
Parameters
- Spring constant
The spring rate or stiffness \(c\) in \((\frac{\mathrm{N}}{\mathrm{m}})\).
- Equilibrium (unstretched) displacement
The displacement \(x_0\) between the two flanges of the unloaded spring \((\mathrm{m})\).
- Initial deformation
The initial deformation \(\Delta x_0\) of the spring, in meters \((\mathrm{m})\).
Probe Signals
- Force
The spring force \(F\), in newtons \((\mathrm{N})\).
- Deformation
The spring deformation \(\Delta x\), in meters \((\mathrm{m})\).