Dog Clutch

Dog Clutch component

The Dog Clutch component models a clutch where the coupling of the two sides is achieved by the engagement of toothed connections between the two shafts (as opposed to friction in normal clutches). A typical usage of dog clutches is in manual transmissions.

Geometry

The Dog Clutch geometry is defined by two parameters; $\mathrm{gap}$ and $\mathrm{ϵ}$ as shown in the figure below.

Equations

and

The contact between the teeth on the two sides of the Dog Clutch is modeled using linear angular springs and dampers:



where



and

State Machine Definition

The Dog Clutch has three distinct states as shown in the figure below.

The boolean output locked is defined as



Connections

 Name Condition Description ID ${\mathrm{flange}}_{a}$ - Flange to side a flange_a ${\mathrm{flange}}_{b}$ - Flange to side b flange_b signal - Real input signal for clutch activation, from 0 (disengaged) to 1 (engaged) signal $\mathrm{locked}$ - Boolean output port for the clutch state false: free true: locked state_locked





Parameters

 Symbol Condition Default Units Description ID $\mathrm{gap}$ - $\frac{\mathrm{π}}{6}$ rad see "Geometry" section above gap $\mathrm{ϵ}$ $-$ $\frac{\mathrm{π}}{18}$ rad see "Geometry" section above epsilon $\mathrm{c}$ - $1\cdot {10}^{5}$ $\frac{N·m}{\mathrm{rad}}$ Angular teeth stiffness c $d$ $-$ $100$ Angular teeth damping d