Development of Helical Teethed Involute Gear Meshed with a Multi-Edge Cutting Tool Using a Mixed Gear Teeth Modeling Method

Computing Algorithm for the Gear Tooth Space Points Cloud Envelope Generated by the Mixed Cad Method

“…The virtual solid or surface models of gears [1,2,3,4,5,6,7,9], virtual gearing [8,9] or virtual manufacturing process studies of the gears [3] are the less expensive methods to develop and study new gearing solutions. Working in virtual environment needs specific models (solid, surface, assembly, FEA etc.)…”

“…The authors of the present paper have proposed a mixed CAD method to generate gears and other surface models, based also on the relative movement between the workpiece and the cutting tool [6,7]. A software was developed to realize various combination of circular and linear motions of the tool and workpiece gear, proper to simulate the complex movements of the real gear generating process.…”

“…A software was developed to realize various combination of circular and linear motions of the tool and workpiece gear, proper to simulate the complex movements of the real gear generating process. Paper [7] presents a model able to generate helical gears using the real feed motions of a gear hobbing process. The proposed pure CAD solution uses well-defined points sets located on each cutting edge of a gear hob.…”

“…Once the envelope surface is defined, the gear teeth can be built by using regular CAD procedures, NURBS surfaces and then solid models. As it was demonstrated in [6,7] the generating time compared to models using theoretical equations are much smaller, and only fractions of the generating time of a Solid Boolean generating process (second to minutes depending on simulation step precision). The main issue remains to find the envelope of this special points cloud, to validate the obtained final solid models visually and eventually with a comparative FEA analysis.…”

Comparative FEM Analysis of Gears Modeled With Analytical, Solid Subtracting and Mixed CAD Generating Method

“…For example, papers [5], [6], [7], [8] show the use of different discreet additive-or subtractive gear generating methods or the relative cutting motion of the generating edge to build up the necessary points clouds. The surfaces obtained with the method proposed by the authors of the present paper (under continuous development) [6,7], even if they are NURBS surfaces, present some inconsistencies but under controlled charge of error. The precision depends on the length of the finite linear motions and the value of the finite rotations characterizing the discreet generating process.…”