Torsion of involute serration shafts and involute spline shafts.

On Cracks and Dislocations in Shafts under Torsion*

Hair Shafts

L. Rudnicka et al. (eds.), Atlas of Trichoscopy, DOI 10.1007/978-1-4471-4486-1_2, © Springer-Verlag London 2012 Most hairs viewed on trichoscopy are normal terminal hairs that are more than 55 m m wide and are uniform in thickness and color [ 1, 2 ] . Hair shaft thickness may be roughly estimated with a handheld dermoscope (thin, normal, thick). Many videodermoscopes include software allowing a...

On Jack Phillip's Spatial Involute Gearing

This is a geometric approach to spatial involute gearing which has recently been developed by Jack Phillips (2003). After recalling Phillips' fundamental theorems and other properties, some geometric questions around this interesting type of gearing are discussed.

Involute of Cubic Pythagorean-Hodograph Curve

Since the mode of Pythagorean-Hodograph curve’s derivate is a polynomial, its involute should be a rational polynomial. We study the expression form of PH cubic’s involute, discovering that its control points and weights are all constructed by corresponding PH cubic’s geometry property. Moreover, we prove that cubic PH curves have neither cusp nor inflection; there are two points coincidence in...

Optimal Selection of Addendum Modification Coefficients of Involute Cylindrical Gears

Based on the principles of equalized sliding coefficients and equalized teeth bending strength, the optimization mathematical model for calculating and allocating the addendum modification coefficients of involute cylindrical gear is firstly established. Then the measures to calculate the tooth parameters in real-time during the optimization steps are achieved. Finally, the optimization program...