Generalized model of undercutting of involute spur gears generated by rack-cutters

Generalised non-dimensional multi-parametric involute spur gear design model considering manufacturability and geometrical compatibility

“…According to Fig. 4 the undercutting condition that has been introduced by Litvin [1], Merritt [5], Brauer [108] and Alipiev et al [106] has same results for undercutting and non-undercutting parts of spur gears.…”

“…• Alipiev et al [106] proposed a generalised approach to describe tooth undercutting. In this study, three kinds of conditions were defined for undercutting of spur gear tooth.…”

“…For this reason, there are guidelines in the standards, which steer parameter selection to subspaces in the design space where it is known a-priori that interference does not occur [101,102,[106][107][108][109][110][111]. However, interference becomes a concern when non-standard tooth forms with reduced radial clearance are employed, such as large-fillet short-dedendum gears [38].…”

“…On the other hand, according to Merritt [5], Brauer [108] and Alipiev et al [106] (undercutting of type I) undercutting occurs (approximately) if the path of contact extends past the interference point. Therefore, a transverse plane of the tooth is not undercut if:…”

Increasing Bending Strength of Aluminium Silicon Carbide Metal Matrix Composite Spur Gear by Increasing Fillet Radius

“…A gear having its material removed in this manner is said to undercut and the process, undercutting. The fillet radius of rack cutter and non-traditional undercutting was studied by Ognyan Alipiev et.al., [6] and found the maximum value of the fillet radius for which there is no undercutting occur. When the load is applied on the tooth during the meshing of gears, the tooth will start bending.…”