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...

Researchers must review numerous standardized criteria that determine the design of mechanical transmissions with gears in order to keep up current developments engineering practice. In classical there are various standards concerning calculation load capacity spur and helical gears. Both them further used evaluate state stress due bending tooth. There many for calculating traditional design. a...

In practical use, most gears have an involute shape of tooth flanks. However, external some drawbacks, such as unfavourable kinematic conditions at the beginning and end meshing, a limited minimum number teeth, highly loaded convex-convex (i.e., non-conformal) contact. Researchers developed analysed various non-involute forms flanks, but they not been widely accepted. The main reasons are highe...

The traditional method to calculate bending displacement of helical tooth is generally based on simplified tooth profile. Besides, the unbalance loading is not taken into account. To overcome this disadvantage, a new method to calculate bending deformation of helical tooth is introduced. First, gear section is divided into several copies along tooth width and each section’s moment of inertia is...

A system of two meshing gears exhibits a stiffness that varies with the number of teeth in instantaneous contact and the location of the corresponding contact points. A classical Newtonian statement of the equations of motion leads to a solution that contradicts the fundamental principle of mechanics that the change in total energy in the system is equal to the work done by the external forces,...

Abstract This research develops the mechatronic design of an artificial honeycomb for Apis Melliferas bees, which allows automatic extraction honey in farms province Huancayo, Peru, since Junin produces 208.26 tons annually with traditional and obsolete techniques. was executed under German VDI 2221 standard contemplates mechanical, electronic control system, are dimensioned according to theori...

We propose algorithms for developing (1) a rigid (constrained) and (2) a exible planetary gearbox model. The two methods are compared against each other and advantages/disadvantages of each method are discussed. The rigid model (1) has gear tooth reaction forces expressed by Lagrange multipliers. The exible approach (2) is being compared with the gear tooth forces from the rigid approach, rst w...