Optimum Tooth-Surface Modification for Axis-Displaced Involute Helical Gear Drive With Parallel Axes

2007 ◽  
Author(s):  
Takashi Matsuda ◽  
Motohiro Sato ◽  
Satoshi Matsui
Keyword(s):  
Surface Modification ◽  
Relative Motion ◽  
Helical Gear ◽  
Surface Generation ◽  
Tooth Surface ◽  
Gear Drive ◽  
Bearing Contact ◽  
Maximum Tolerance ◽  
Gear Drives ◽  
Tooth Surface Modification

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.

Optimum Tooth-Surface Modification for Axis-Displaced Worm-Gear Drive With Cylindrical ZA Worm

2007 ◽  
Author(s):  
Takashi Matsuda ◽  
Motohiro Sato ◽  
Satoshi Matsui
Keyword(s):  
Surface Modification ◽  
Relative Motion ◽  
Worm Gear ◽  
Tooth Surface ◽  
Design System ◽  
Gear Drive ◽  
Bearing Contact ◽  
Maximum Tolerance ◽  
Gear Drives ◽  
Tooth Surface Modification

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. In this study, design system of optimum tooth-surface modification is developed for axis-displaced worm-gear drives with cylindrical ZA worm, which is sensitive to gear misalignments, to reduce the sensitivity to misalignment and to provide the high productivity and reliability. The system is composed by; (1) Axis-displaced wheel tooth-surface is defined as the envelope of worm tooth-surface family in their regular motion transmission (zero transmission error) under an axis-displacement. (2) Basic wheel tooth-surface is built by combining the axis-displaced tooth-surfaces under various axis-displacements. (3) Rack, whose pitch plane rolls on pitch cylinder of wheel, is introduced and then basic rack tooth-surface is obtained as the envelope of the basic wheel tooth-surface family in their regular relative motion. (4) It is illustrated how to get optimum rack tooth-surface from the basic rack tooth-surface. (5) Optimum wheel tooth-surface is generated as the envelope of the optimum rack tooth-surface family in their regular relative motion. (6) The performances of the axis-displaced worm-gear drive having the optimum wheel tooth-surface are analyzed by TCA (Tooth Contact Analysis) program which is developed for analysis of meshing and tooth bearing contact. The above-mentioned system is illustrated with its application for testing worm-gear drive. As a result, it is presented that the system can provide the testing worm-gear drive favorable tooth bearing contact and motion transmission, even in the maximum tolerance of misalignment in JGMA Standard 114-02.

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
Keyword(s):  
Surface Modification ◽  
Helical Gear ◽  
Tooth Surface ◽  
Tooth Surface Modification

Computerized Design of Worm Gear Drives With Improved Conditions of Meshing and Bearing Contact

2006 ◽  
Author(s):  
Ignacio Gonzalez-Perez ◽  
Alfonso Fuentes ◽  
Faydor L. Litvin ◽  
Kenichi Hayasaka ◽  
Kenji Yukishima
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Worm Gear ◽  
Tooth Surface ◽  
Tooth Contact Analysis ◽  
Parabolic Profile ◽  
Gear Drive ◽  
Bearing Contact ◽  
Basic Ideas ◽  
Gear Drives

A new geometry of a cylindrical worm gear drive is proposed for: (i) reduction of sensitivity of the drive to errors of alignment, and (ii) observation of a favorable bearing contact. The basic ideas of new geometry are as follows: (i) the worm-gear is generated by a hob that is oversized in comparison with the worm of the drive and has a parabolic profile in normal section; (ii) the tooth surface of the worm of the drive is a conventional one. Due to deviation of the hob thread surface, the bearing contact of the worm and the worm-gear is localized. Reduction of sensitivity to misalignment and improved conditions of meshing are confirmed by application of TCA (Tooth Contact Analysis). Formation of bearing contact has been investigated by finite element method applied in 3D for more than one pair of contacting teeth. Developed ideas may be applied for various types of cylindrical worm gear drives.

Effect of Tooth Surface Modification on the Load Sharing and Strength of Offset Face Gear Drive with Spur Involute Pinion

2011 ◽  
Vol 86 ◽  
pp. 327-332
Author(s):  
Jin Hua Wang ◽  
Yun Bo Shen ◽  
Ze Yong Yin ◽  
Jie Gao ◽  
Yan Ying Jiang
Keyword(s):  
Surface Modification ◽  
Load Sharing ◽  
Contact Analysis ◽  
Tooth Surface ◽  
Contact Ratio ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Drive ◽  
Tooth Surface Modification

Load sharing is one of the main factors that determine gear strength. In this paper, Tooth Contact Analysis (TCA) and Loaded Tooth Contact Analysis (LTCA) have been performed to investigate the effect of tooth surface modification on the contact ratio, load sharing and strength of an orthogonal offset face gear drive with spur involute pinion. The results indicate that the contact ratio of 2.0 or higher could be achieved. The maximum load carried by single tooth and bending stress are significantly reduced when appropriate tooth surface modification is applied to the orthogonal offset face gear drive.

scholarly journals Dynamic Analysis of High-Speed Helical Gear Transmission in Pure Electric Vehicle Gearbox

2020 ◽  
Vol 2020 ◽  
pp. 1-19
Author(s):  
Yanchao Zhang ◽  
Jinfu Du ◽  
Jin Mao ◽  
Min Xu
Keyword(s):  
Surface Modification ◽  
Electric Vehicle ◽  
High Speed ◽  
Helical Gear ◽  
Gear Transmission ◽  
Tooth Surface ◽  
Gear Pair ◽  
Two Stage ◽  
Rotating Speed ◽  
Tooth Surface Modification

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.

scholarly journals Tooth Surface Modification for Helical Gear Pairs considering Mesh Misalignment Tolerance

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Guosheng Han ◽  
Bing Yuan ◽  
Guan Qiao
Keyword(s):  
Surface Modification ◽  
Gear Tooth ◽  
Transmission Error ◽  
Helical Gear ◽  
Tooth Surface ◽  
Tooth Contact Analysis ◽  
Nsga Ii ◽  
Design Variables ◽  
Tooth Flank ◽  
Tooth Surface Modification

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.

Computerized Design, Generation and Simulation of Meshing and Contact of Modified Flender Worm-Gear Drives

1996 ◽  
Author(s):  
I. H. Seol ◽  
Faydor L. Litvin
Keyword(s):  
Gear Tooth ◽  
Worm Gear ◽  
Numerical Examples ◽  
Transmission Errors ◽  
Gear Drive ◽  
Bearing Contact ◽  
Tooth Surfaces ◽  
Design Generation ◽  
Computerized Simulation ◽  
Gear Drives

Abstract The worm and worm-gear tooth surfaces of existing design of Flender gear drive are in line contact at every instant and the gear drive is very sensitive to misalignment. Errors of alignment cause the shift of the bearing contact and transmission errors. The authors propose : (1) Methods for computerized simulation of meshing and contact of misaligned worm-gear drives of existing design (2) Methods of modification of geometry of worm-gear drives that enable to localize and stabilize the bearing contact and reduce the sensitivity of drives to misalignment (3) Methods for computerized simulation of meshing and contact of worm-gear drives with modified geometry The proposed approach was applied as well for the involute (David Brown) and Klingelnberg type of worm-gear drives. Numerical examples that illustrate the developed theory are provided.

Sign in / Sign up

Export Citation Format

Share Document