Gears:Simultaneous Meshing with Rack
Release status: Working
Description | A method for calculating gear center distances
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License | unknown
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Introduction
Recently, Peter posted this great prototype of a linear motion mechanism using lasercut gears.
He stated: "there's probably an ideal solution when solving simultaneously for (a) a rack, with (b) two gears of radius R1, being driven by (c) another larger gear of radius R2; all for a given tooth size."
I had solved this problem earlier while working on a linear motion mechanism of my own, which uses a similar arrangement of gears. This page has a brief description of how I solved the problem, as well as MATLAB code you can download to generate your own gearing arrangements if you are using this particular mechanism. If you don't have access to MATLAB, the code should probably work with GNU Octave with minor modification.
Problem Description