Contact Ratios and Transmission Errors of a Helical Gear Set with Involute-Teeth Pinion and Modified-Circular-Arc-Teeth Gear

Contact ratio (CR) and transmission error (TE) are two significant indices for gear tooth strength and dynamics. This work investigated the CR, contact teeth (CT) and TE of a helical gear pair, composed of an involute pinion and a modified circular-arc gear. Point contact and built-in parabolic TE are obtained due to the modification of the gear’s tooth profile. Tooth contact analysis(TCA) is applied to determine the TE as well as the CR of the proposed helical gear set under various assembly condition. The effect of gear design parameters on the CRs and TEs are also investigated in numerical examples.

[1]  Hsiang Hsi Lin,et al.  Computer-Aided Design of High-Contact-Ratio Gears for Minimum Dynamic Load and Stress , 1993 .

[2]  Louis Cloutier,et al.  Experimental and numerical investigation of the meshing cycle and contact ratio in spiral bevel gears , 1998 .

[3]  A. Elkholy,et al.  Tooth Load Sharing in High-Contact Ratio Spur Gears , 1985 .

[4]  S. H. Loewenthal,et al.  Efficiency of nonstandard and high contact ratio involute spur gears , 1986 .

[5]  Faydor L. Litvin,et al.  Helical Gears With Circular Arc Teeth: Simulation of Conditions of Meshing and Bearing Contact , 1985 .

[6]  Juan Carlos García-Prada,et al.  Determination of the addendum modification factors for gears with pre-established contact ratio , 1996 .

[7]  Ying-Chien Tsai,et al.  Design of high-contact-ratio spur gears using quadratic parametric tooth profiles , 1998 .

[8]  Masana Kato,et al.  Effects of gear dimensions and tooth surface modifications on the Loaded transmission error of a helical gear pair , 1998 .

[9]  F. Litvin,et al.  Gear geometry and applied theory , 1994 .

[10]  Hsiang Hsi Lin,et al.  Effect of contact ratio on spur gear dynamic load , 1996 .

[11]  Chung-Biau Tsay,et al.  ZK-Type Dual-Lead Worm and Worm Gear Drives: Contact Teeth, Contact Ratios and Kinematic Errors , 1998 .

[12]  A. Seireg,et al.  Theory of Gearing , 1992 .

[13]  Faydor L. Litvin,et al.  Computerized Design and Generation of Low-Noise Helical Gears with Modified Surface Topology , 1994 .

[14]  Chung-Biau Tsay Helical gears with involute shaped teeth: geometry, computer simulation, tooth contact analysis, and stress analysis , 1988 .

[15]  Faydor L. Litvin,et al.  Application of Finite Element Analysis for Determination of Load Share, Real Contact Ratio, Precision of Motion, and Stress Analysis , 1996 .