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100

101

7Applications

7.5 Rack drive

Lenze · Drive Solution Designer · Manual · DMS 4.2 EN · 12/2013 · TD23

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7.5 Rack drive

The vast majority of positioning systems require linear movements. If a rotating drive is used, the

rotation of the motor has to be converted into a linear movement. The speeds that can be achieved,

and therefore the dynamics of the positioning process and the repeat accuracy, and thus the quality

of the positioning process to a great extent are defined by the mechanics.

Characteristics of a rack drive

• A motor actuates a pinion which in turn actuates a rack and pinion, or the motor actuates itself

on a stationary rack and pinion.

• Rack and pinions provide an unlimited traverse path, however they are not very accurate and

have a tendency for slip.

7.5.1 Calculations

For a rack drive according to the drawing the following applies:

The pinion diameter can be calculated from the module and the number of teeth:

[7-41] Equation 1: Pinion diameter

Conversion of translatory variables into rotary variables

[7-42] Equation 2: Angle

[7-43] Equation 3: Angular velocity

Cog

⋅=

2000 s⋅

Cog

--------------------

2000 s⋅

Cog

⋅

------------------------------

2000 v⋅

Cog

--------------------

2000 v⋅

Cog

⋅

------------------------------

1 2 ... 89 90 91 92 93 94 95 96 97 98 99 ... 495 496

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