Re: Elliptical gear calculations

*To*: mathgroup at smc.vnet.net*Subject*: [mg110654] Re: Elliptical gear calculations*From*: Fred Klingener <gigabitbucket at BrockEng.com>*Date*: Wed, 30 Jun 2010 08:09:37 -0400 (EDT)*References*: <i0cjlk$8a5$1@smc.vnet.net>

On Jun 29, 6:59 am, dean k <deaken.... at gmail.com> wrote: > Through two identical elliptical gears rotating about their centers, I > would like to calculate the torque and angular velocity ratios as a > function of the rotation angle of one of the gears. I'm not a > mathematician, but an engineer working on a personal project I thought > would be interesting. It is quickly becoming more interesting than I > expected ... First thing to do is to look at Harry Calkins Demonstration on elliptical gears. http://demonstrations.wolfram.com/EllipticGears/ That'll illustrate the geometry of the mesh and it'll let you convince yourself of the relationship between the gears. As a basis for your model, download the code and have a look at it. Harry knows a few things about Mathematica. Then someone (maybe you or I) should redo the tooth profiles. :-) Hth, Fred Klingener