Isometric modification is proposed as a new method of axial modification of spur bevel gear. Based on the gear geometry theory and the normal meshing motion equation of gear pairs, changes of meshing points and angles are analyzed and the effect of axial modification on meshing movement of gear pairs is discussed. After that, a method of drawing spherical involute with the aid of SolidWorks sof...

Generating-line method, which is based on the generating process of spherical involute curve, is a new processing theory of cutting ideal spherical involute gears. Based on the principle of the new method, this paper expands the traditional geometrical relationship into the cutting geometry of generating-line method, and proposes the base-cone parameters with their formulas to provide necessary...

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...

Understanding the geometry of gears with skew axes is a complex task, hard to grasp and to visualize. However, due to Study’s Principle of Transference, the geometric treatment based on dual vectors can be readily derived from that of the spherical case. This paper is based on Martin Disteli’s work and on the authors’ previous results where Camus’ concept of an auxiliary curve is extended to th...

In order to derive the equation of the contact line of the involute curvilinear-tooth cylindrical gear pump for the agricultural tractor, the tooth surface of the involute curvilinear-tooth cylindrical gear is firstly generated as that of the spur or helical gear. Then the equation of the tooth surface is derived from changing the settings and orientations of the coordinate systems after the eq...

We study three dimensional parametric agile design of gears and related software platforms in terms of: parameterization, modularization, and the software being easy to use, expand and maintain. We base our study on SolidWorks platform, aiming to generate 3-D solid models of gears automatically in terms of: i) inputting parameters to improve the modeling speed, ii) build up foundations for stru...