Settings of position scaling

Example 1

Linear axis with a rotary encoder fitted to the motor with 2^20 increments per motor revolution (indirect measuring system), a gear with a gear ratio of 2:1 (input/output) and a ball screw spindle with a spindle pitch of 20 mm.

Example 2

Linear axis with a linear encoder fitted to the spindle nut with a resolution of 1 µm (direct measuring system), a gear with a gear ratio of 2:1 (input/output) and a ball screw spindle with a spindle pitch of 20 mm.

Example 3

Spindle with an encoder fitted to the motor with 2^24 increments per revolution and a gear with a gear ratio of 1:3 (input/output).

Example 4:

Gear ratios with numerical values with several decimal points.

Assuming:

• A motor delivers 131072 increments per revolution.
• A spindle with a pitch of 1.7/8 inch and
  a gear with a ratio of 7:1 are fitted.
• Notice that, after ‘expansion’, the product is less than 2^31 - 1. A factor of 1000000 would therefore be too large.

Covered path per motor revolution in 0.1 um:

1.7/8 *25.4 /7 * 10000 = 7710.714285714285714

Expand the above fraction by 10 to remove the decimal point.

(17 * 254000)/(80 * 7)

The entire fraction feed_const_num/ feed_const_denom is thus

Shortened by 10: