A novel tooth surface modification methodology for wide-faced double-helical gear pairs

2021 ◽  
Vol 160 ◽  
pp. 104299
Author(s):  
Bing Yuan ◽  
Geng Liu ◽  
Yanjiong Yue ◽  
Lan Liu ◽  
Yunbo Shen
2020 ◽  
Vol 2020 ◽  
pp. 1-19
Author(s):  
Yanchao Zhang ◽  
Jinfu Du ◽  
Jin Mao ◽  
Min Xu

This study is to systematically analyze the influences of time-varying meshing stiffness (TVMS) and meshing impact on the dynamic characteristics of high-speed gear transmission in the two-stage pure electric vehicle (PEV) gearbox, as well as the effect of tooth surface modification on the vibration control. First, the dynamic model was established, and the TVMS and meshing impact were calculated. Then, the vibration characteristics of single-stage and two-stage helical gear transmission were analyzed under three different excitation conditions, excitation of TVMS, excitation of meshing impact, and excitation of both. The results show that the effect of rotating speed on the system vibration is not significant outside the resonant region under the excitation of TVMS, while the effect of meshing impact becomes the main exciting component with the increasing rotating speed. The vibrations of the two gear pairs interact with each other; the vibration frequency of one gear pair contains both its meshing frequency and the coupling frequency of the other gear pair. Tooth surface modification in the input-stage gear pair can reduce the vibration of both the input- and the output-stage obviously; that is, more attention should be paid to the input-stage gear pair in the modification design of PEV gearbox.


Author(s):  
Takashi Matsuda ◽  
Motohiro Sato ◽  
Satoshi Matsui

Gear drives, which have larger misalignment than the maximum tolerance of misalignment for gear drives with parallel axes in the Standard of Japanese Gear Manufacture’s Association (JGMA Standard 114-02), are designated as axis-displaced gear drives in this study. So, axis-displacement is used in place of the misalignment. And tooth-surface modification for axis-displaced gear drives has been studied by the authors. In this study, design system for optimum tooth-surface modification is developed for axis-displaced involute helical gear drives, which are sensitive to gear misalignment, to reduce the sensitivity to misalignment and to provide the high productivity and reliability. The system is composed of; (1) Virtual rack, which is conjugate to mating standard helical gear pair in their standard relative motion, is defined for pinion and gear tooth-surface generation. And axis-displacement is relative displacement between the virtual rack and each gear, or between pinion and gear. (2) Axis-displaced tooth-surface of each gear is defined as the envelope of virtual rack tooth-surface family in their regular motion transmission (zero transmission error) under an axis-displacement. (3) Basic tooth-surface of each gear is built by combining the axis-displaced tooth-surfaces under various axis-displacements. (4) Basic rack tooth-surface for each gear is obtained as the envelope of the basic tooth-surface family in their regular relative motion. (5) It is illustrated how to get optimum rack tooth-surface from the basic rack tooth-surface. (6) Optimum tooth-surface of each gear is generated as the envelope of the optimum rack tooth-surface family in their regular relative motion. (7) Undercut around dedendum, and tooth thickness on tip circle of the optimum pinion tooth-surface are checked. (8) The performances of testing gear drive with the optimum tooth-surface of each gear are analyzed by TCA (Tooth Contact Analysis) program developed for analysis of meshing and bearing contact. The above-mentioned system is illustrated with its application for testing involute helical gear drive. As a result, it is ascertained that the system can provide the gear drive favorable tooth bearing contact and motion transmission, even in 10 times misalignment of the maximum tolerance in JGMA Standard 114-02.


2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Guosheng Han ◽  
Bing Yuan ◽  
Guan Qiao

Mesh misalignment in mating the gear tooth surface is common and difficult to be determined accurately because of system deformation and bearing clearances, as well as manufacturing and assembly errors. It is not appropriate to consider the mesh misalignment as a constant value or even completely ignore it in the tooth surface modification design. Aiming to minimize the expectation and variance of static transmission error (STE) fluctuations in consideration of mesh misalignment tolerance, a multiobjective optimization model of tooth surface modification parameters is proposed through coupling the NSGA-II algorithm and an efficient loaded tooth contact analysis (LTCA) model. The modified tooth flank of helical gear pairs is defined using 6 design variables which are related to profile modification, lead modification, and bias modification. The influences of mesh misalignment on time-dependent meshing stiffness (TDMS) and STE of unmodified and modified helical gear pairs are investigated. Then, the dynamic transmission error (DTE) of modified helical gears in consideration of mesh misalignment is discussed. The results indicate that the designed modified tooth surface shows good robustness to mesh misalignment.


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