Kinematic Optimization of a Modified Helical Gear Train

Abstract

A mathematical model of a modified helical gear train (MHGT), manufactured with a practical hobbing machine using a curved-template guide, and which takes considerations of center-distance variation and axial misalignment into account, is developed. Tooth contact analysis (TCA) and kinematic errors of a MHGT due to mis-assembly are investigated. A multiple optimization method is applied to reduce the level of MHGT kinematic errors, and to investigate optimal gear tooth modifications. Computer simulation programs for TCA and optimization are also developed. Two numerical examples are presented to illustrate the kinematic optimization of the proposed helical gear train. The results of this study are most helpful in designing and analyzing a MHGT.

Tooth contact analysis of a curvilinear gear set with modified pinion tooth geometry

“…γ h = γ v = 0 • and C = 0 mm) 12 Experimental contact patterns of the modified curvilinear gear set Figure 10 shows the bearing contact on the pinion tooth surface as the pinion rotates from −5 • to 10 • . During meshing, the contact points move from the dedendum to the addendum on the pinion …”

Contact characteristics of cylindrical gears with curvilinear shaped teeth

“…Lin et al [7] performed TCA for hypoid gears. Chang et al [8] analyzed the kinematic optimization of a modified helical gear train. Litvin et al [9,10] proposed a surface synthesis method by utilizing a predesigned parabolic transmission errors function to absorb the transmission errors of an approximately linear function of the designed gear pair induced by axial misalignments of the gear.…”

A novel hob cutter design for the manufacture of spur-typed cutters

“…Chang (1996) simulated the hobbing process through a computer numerically controlled (CNC) hobbing machine. Chang et al (1997b) achieved design optimization by tuning parameters of modified helical gear train. More recently, Kapelevich (2000) investigated the hobbing of an unsymmetrical involute tooth profile.…”