Gear drive

Gear drive link properties implement a toothed gear 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 gears 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 gears is not modelled

Definition

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

Gear drive link definition

Source interface

Type Stationary interface (6dof)
Topologies Peripheral face of the source gear
Location Center of the source gear
u direction Axial, along the axis of rotation of the source gear
v direction Pointing towards the center of the target gear
w direction Resulting direction

Target interface

Type Stationary interface (6dof)
Topologies Peripheral face of the target gear
Location Center of the target gear
u direction Axial, along the axis of rotation of the target gear
v direction Aligned with the v-direction of the source gear
w direction Parallel to the w-direction of the source gear

Parameters

Parameter Unit Symbol Description
Source gear radius m \(r_S\) Radius of the pitch line of the source gear
Target gear radius m \(r_T\) Radius of the pitch line of the target gear
Contact stiffness N/m \(k\) Stiffness of the contact between the gears including tooth compliance
Contact damping Ns/m \(d\) Damping of the contact between the gears including tooth compliance