Transform of parameter and teeth surface modification for non-standard planetary spur gear train with X-gears

Abstract

In view of the lack of ready formulae for modification calculation of non-standard planetary spur gear trains, the paper is focused on new modification methods of non-standard planetary spur gear trains with X-gears. Firstly, a novelty transform method from the parameters on the pitch circle to the parameters on the reference circle for a non-standard planetary spur gear train with X-gears is proposed in order to study the modification method. Secondly, a scheme of teeth surface modification for non-standard planetary spur gear train with X-gears is put forward. Thirdly, the calculation method of loaded transmission error and flash temperature on the tooth surface under mixed elastohydrodynamic lubrication for external meshing spur gear pairs is proposed using tooth contact analysis as well as loaded tooth contact analysis. Then, a new modification optimization method for non-standard planetary spur gear train with X-gears is proposed, and formulae of the maximal modification length along the tooth height are derived. Finally, the effectiveness of the modification optimization method is confirmed by an example, and the transform formulae of the optimized modification parameters for sun gear are derived.

Numerical Analysis of Tooth Contact and Wear Characteristics of Internal Cylindrical Gears with Curved Meshing Line

“…The wear coefficient is defined as the volume of wear caused by the sliding distance per unit load [32], which is affected by various factors, such as material hardness, surface roughness, and lubrication conditions, among others. Janakiraman [33] established a regression formula (11) for the wear coefficient and the influencing parameters using a general linear regression method based on data points obtained at different loads, roughness amplitudes, and lubricant oil temperatures. In our study, the material hardness, surface roughness, and lubrication conditions used are all within the reasonable range of Janakiraman's experimental conditions, so Formula ( 11) is utilized to calculate the wear coefficient of this paper:…”

“…Li et al [10] considered tooth profile modification, proposed a theoretical model of tooth surface wear for cycloid pinwheel pair, and deeply analyzed the tooth surface wear mechanism of cycloidal transmission. Zhang et al [11] introduced a new method for modifying special gear trains and verified the effectiveness of the optimization method through numerical examples. Issayeva et al [12] optimized involute gear parameters through gear modification to enhance the load-bearing capacity and reliability of the gear, addressing the severe wear problem of gears in ball mills.…”