The production of noiseless gears requires that minute errors in tooth-curves be avoided. Objectionable sound-waves are caused by a gear-tooth error of 0.0003 in. and ...

Traditional gear design limits the performance of mechanical drives. Invention of the gear-hobbing process about 150 years ago revolutionized not only gear fabrication, but also gear design. Basically ...

The aim of the paper is to obtain a new version of Serret-Frenet formulae for a quaternionic curve in ℝ4 by using the method given by Bharathi and Nagaraj. Then, we define quaternionic helices in ℍ ...