Rotary backlash





| C |
in the palette on the schematic
The block is designed to simulate backlash between two rotating bodies. The block is based on the Rotary position limiter block with identical stops located symmetrically relative to zero. The scheme of the limiter is shown in the figure (Figure 1).


Figure 1. Scheme of rotary backlash
In the figure (Figure 1), the following designations are adopted:
  • bodies C and R denote bodies connected to the mechanical ports "C" and "R" respectively
  • φ – relative angular position, rad
  • Δφ – backlash width, rad
The relative angular position and relative angular speed are calculated by the formulas:



where:
  • φC and φR – turn angles at the ports "C" and "R", respectively, rad
  • ω – relative angular speed, rad/s
  • ωC and ωR – angular speeds at ports "C" and "R", respectively, rad/s

Inputs

Name Description Connection line type
C Port for connecting a conditionally fixed case (case) Rotary mechanics
R Port for connecting a conditionally moving shaft (rotor) Rotary mechanics

Outputs

None.

Properties

Name Parameter Description By default Data type
Backlash width, rad dS Backlash width 0.0063 Вещественное
Stiffness factor of stops, Nm/rad Krh Stiffness factor of stops 100000 Вещественное
Damping factor, Nm·s/rad. Br Damping factor of stops 1 Вещественное

Parameters

Name Parameter Description Data type
Angular differential, rad Fi Relative angular position Вещественное
Angular speed differential, rad/s W Relative angular speed Вещественное
Torque, Nm T Torque transmitted from port "C" to port "R" Вещественное

Examples

Examples of block application: