FCGear CycloidGear

Description
Cycloidal gears are very sensitive to an inaccurate adjustment of the centre distance, which then leads to a change in the transmission ratio. For these reasons, cycloidal gears are hardly found in mechanical engineering but are only used in special cases such as in the watch industry, for roots type blowers or for the drive of gear racks.



Usage

 * 1) Switch to the [[Image:FCGear_workbench_icon.svg|22px]] FCGear Workbench.
 * 2) Invoke the command several way:
 * 3) * Press the FCGear_CycloideGear.svg Create a Cycloide gear button in the tool bar.
 * 4) * Using the.
 * 5) Change the gear parameter to the required conditions (see  below).

Data

 * : Placement is the location and orientation of an object in space.
 * : User name of the object in the Tree view.


 * : Default is 5,00. Diameter of the rolling circle of hypocycloid, normalized by the  (see also the information in ).
 * : Default is 5,00. Diameter of the rolling circle of epicycloid, normalized by the  (see also the information in ).


 * : Default is 0,00. Backlash, also called lash or play, is the distance between the teeths at a gear pair.
 * : With the helix angle β a helical gear is created (positive value → rotation direction right, negative value → rotation direction left).
 * : Default is 0,25 (see also the information in ).
 * : creates a double helix gear (see also the information in )
 * : Value of the gear width.
 * : Module is the ratio of the reference diameter of the gear divided by the number of teeth (see also the information in ).
 * : Default is 15, change of the involute profile. Changing the value can lead to unexpected results.
 * : Number of teeth.

View
The parameter descriptions of the tab will be found in Property editor, further below at.

Straight Line as Hypocycloid
To obtain a straight line, directly towards the center, as hypocycloid, use the following expression for the :.

Such a tooth form is often found in historical clockworks and thus called "clock toothing". A larger makes the effect even more visible.

Full Hypocycloid/Epicycloid as Tooth
To obtain a gear made of complete hypocycloid and epicycloid curves use the following expression for

Note: At the time of writing, the development version of the FCGear Workbench is required, as the current stable version does not offer ! The additional explicit tolerance value ( above) is required to overcome coincidence issues.

Such "gears" allow the the number of teeth to be as low as two and are used as rotary vanes in pumps or compressors (cf. Roots-type Supercharger).

Infinite large Epicycloid
If the radius of the epicycloid's rolling circle becomes infinite large, it becomes a rolling straight line. Such a degenerated epicycloid is called involute. Gears with such a tooth form are handled by the involute gear command. It is by far the most common tooth form Today.

Limitations
Limitations are not known yet.

Useful formulas
For more information see Involute gear.