Tooth flank twist is a common phenomenon in the helical crowning modification of cylindrical gear, which reduces performance gear. At present, measurement tooth still stage replacing surface with line. The development 3-D technology makes acquisition gear information more comprehensive and complete. By processing point cloud data, deviation on can be found, particularly important for improving ...

In this contribution, we report on the application of a novel, high accuracy, arc characterization method to wall constricted arcs in cylindrical nozzles with low blow pressure. The method makes use of a novel current source that is able to produce nearly arbitrary current shapes. With it, it is possible to derive the stationary and transient arc characteristic independent of each other but wit...

Abstract In order to achieve the high precision 3D measurement of gear tooth profile, a telecentric optical system with large FOV (field view), WD (working distance) and measuring range was proposed, applied profile experiment obtained good effect. Firstly, composition principle were introduced. The lights projection imaging an angle 45° from normal line measured surface can reduce requirement ...

In order to solve the problem that design constraints of conjugated straight-line internal gear pair are unclear, designing and checking pairs requires repeated trial error. By analogy with involute pair, basic parameters were clarified. Based on mathematical model given according engagement theory geometrical relations tooth profile. The calculation formula constraint contact ratio deduced kin...

In this work, we deal with a classical differential geometry topic in Minkowski space-time. First, we prove that there are no timelike involutes of a time-like evolute. In the light of this result, we observed that involute curve transforms to a time-like curve when evolute is a space-like helix with a time-like principal normal. Then, we investigated relationships among Frenet-Serret apparatus...