Rack and pinion

Rack and pinion link properties implement a rack and pinion drive. Only the linear elastic behaviour is modelled, non-linearities are neglected. The simplifications are:

  • any kind of backlash is neglected
  • the force pushing the pinion and rack apart (due to the pressure angle of the teeth) is not modelled and has to be added as load in an analysis if desired
  • irregular transmission due to the teeth is not modelled
  • local deformation of the pinion is not modelled

Definition

Source and target interfaces should be chosen as shown in following figure:

Rack and pinion link definition

Source interface

Type Moving interface (Fourier)
Topologies Side faces of the rack
Location Along the pitch line
u direction Axial, along the pitch line
v direction Transversal
w direction Normal, towards the pinion

Target interface

Type Stationary interface (6dof)
Topologies Peripheral face of the pinion
Location Center of pinion
u direction Axial, along the pitch line of the rack
v direction Parallel to the v-direction of the source interface
w direction Parallel to the w-direction of the source interface

Parameters

Parameter Unit Description
Pinion radius m Radius of the pitch line of the pinion
Contact stiffness N/m Stiffness of the contact between the teeth
Contact damping Ns/m Damping of the contact between the teeth