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Algorithm for a gear-train problem

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1 Author(s)

A lathe manufacturer planned to incorporate a gear change that would produce a range of metric pitches in addition to the normal range of English pitches. The problem had previously been resolved by using a special 127-tooth change gear to compound the drive to the feedbox. However, such a large gear was awkward to accommodate and involved a loss of production time whenever a change had to be made. It was therefore decided to incorporate four smaller gears in the feedbox, making it possible to use a simple lever change to give direct drive for English pitches or back-geared drive for metric pitches. The problem was to determine the combination of four gears that would give the over-all ratio most closely approximating the one desired.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

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IBM Systems Journal  (Volume:3 ,  Issue: 1 )