Work

The Meshing Stiffness Characteristics of Variable Hyperbolic Circular Arc Tooth Trace Cylindrical Gears under Installation Errors

Year: 2026

Type: article

Abstract: To investigate the impact of installation errors on the meshing performance of variable hyperbolic circular arc tooth trace (VH-CATT) cylindrical gear transmission systems, this study examines the time-varying meshing stiffness characteristics under the influence of such errors.First, based on the VH-CATT cylindrical gear forming principle, a precise three-dimensional model was established after deriving tooth surface equations.Second, the tooth face load and meshing stiffness of VH-CATT cylindrical gears were calculated using tooth contact analysis (TCA) and load tooth contact analysis (LTCA) models.Finally, the effects of different mounting errors on the meshing stiffness of VH-CATT cylindrical gears were examined.The study conclusively shows that the centre distance installation error, the axial installation error, and the rotational installation error around the gears' centre line direction (for the y-axis) exert a pronounced effect on both the single-tooth stiffness and the meshing stiffness characteristics of VH-CATT cylindrical gears.The rotational installation error around the normal direction of the gear centre line (for the x-axis) notably affects the single-tooth stiffness characteristics of the VH-CATT cylindrical gears, yet it exhibits limited sensitivity towards the meshing stiffness characteristics.These findings provide a technical basis for reducing vibration and noise, improving load carrying capacity, and optimising the tooth surface design of VH-CATT cylindrical gears.

Source: Transactions of FAMENA

DOI: 10.21278/tof.501070024