Math

Articles About Math


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1 Encouragement and Enthusiasm (December 2014)

In the Stott household, we love math. Well, maybe not everyone in my household loves it equally, but since they were in kindergarten, whenever one of my children asked me for help with math homework, my reply has been an instant and cheerful “We love math!”

2 Homogeneous Geometry Calculation of Arbitrary Tooth Shapes: Mathematical Approach and Practical Applications (February 2016)

This paper provides a mathematical framework and its implementation for calculating the tooth geometry of arbitrary gear types, based on the basic law of gear kinematics. The rack or gear geometry can be generated in two different ways: by calculating the conjugate geometry and the line of contact of a gear to the given geometric shape of a known geometry (e.g., a cutting hob), or by prescribing the surface of action of two gears in contact and calculating the correspondent flank shapes.

3 Mathematical Modeling for the Design of Spiroid, Helical, Spiral Bevel and Worm Gears (April 2015)

Spiroid and worm gears have superior advantages for hightorque and miniaturization applications. And for this reason they are particularly preferred in aerospace, robotic and medical applications. They are typically manufactured by hobbing technology, a process with a typical overall lead time of 4 to 14 weeks.