Kirk,
   I have software (FAPT) that will generate the tooth profile using
the information out of the machinery's handbook charts. I would be
happy to input the data and send you the profile in G-code.
Stuart

On Tue, May 12, 2009 at 9:22 PM, Kent A. Reed <knbr...@erols.com> wrote:
> Gentle persons:
>
> Kirk and others may find the following references to be useful:
>
> 1) "The Involute Curve, Drafting a Gear in CAD and Applications," by
> Nick Carter. http://www.cartertools.com/involute.html
>
> 2)  "Direct Gear Design for Spur and Helical Involute Gears," by
> Alexander L. Kapelevich and Roderick E. Kleiss.
> http://www.akgears.com/pdf/direct.pdf
>
> Regarding calculating tables of values of Kirk's representation of an
> involute of a circle, or any other parametric equations, don't forget
> that OpenOffice Calc is a fully functional spreadsheet application that
> has all the necessary mathematical machinery including trig functions
> like sine, cosine, and arctangent. OpenOffice is available for and runs
> in Linux, Winders, etc. Like Microsoft Excel, it can generate various
> forms of plots, although I personally don't like either for generating
> publication-ready graphs. It should be easy to code up Calc and/or Excel
> programs to automate the calculations discussed in the above papers.
>
> As for displaying mathematical functions easily, one can take advantage
> of the OpenOffice Math interface, but since I'm an old-fart (it's
> official, even the Social Security Administration says so), I use LaTeX,
> which has been around since the days when all we had were mainframe
> computers (and had to walk barefoot through the snow to hand over our
> punched card decks to the operator at the counter). Now that MathML is
> fairly mature, there is a lot of interest in MathML-based tools. See,
> for example, the following MIT pages on displaying mathematics:
>
> http://web.mit.edu/acs/faq/webmath/contents.html and
> http://web.mit.edu/ist/topics/webpublishing/mathml/
>
> Finally, regarding the Machinery's Handbook, just find the cheapest
> price for any recent edition. I bought my 26th Edition (2002) copy on
> eBay in 2005 for about $35. With the exception of a torn fly leaf, it
> was in pristine condition. Sometimes eBay is cheapest, sometimes
> abebooks.com, sometimes amazon.com. Like everything else, you have to be
> patient.
>
> Regards,
> Kent
>
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