Geometric Calculations of the Chamfered Tip and the Protuberance Undercut of a Tooth Profile

2011 ◽  
Author(s):  
Milos Nemcek ◽  
Zdenek Dejl
Keyword(s):  
Mass Production ◽  
Gear Tooth ◽  
Tooth Profile ◽  
Measuring Device ◽  
Car Industry ◽  
Industry Standard ◽  
Tooth Flank ◽  
Computing Method ◽  
Circle Diameter

Nowadays special modified tools are mostly used for rough or semi-finishing milling in the mass production of ground or shaved gears today. These modifications ensure the desired chamfer at the head or the undercut at the bottom of the gear tooth. Diameters of the beginning and the end of the operational involute (exact knowledge of them is necessary for the calculation of important meshing parameters) are found by using several techniques. The first one is the simulation of the generating action of a hob tooth using suitable graphic software with the subsequent measuring of these diameters from the envelope of hob tooth positions which was created. The second one is measuring directly on the gear manufactured using a measuring device. These simulations or measuring are often not performed and the tool with recommended parameters of the protuberance or the ramp is simply chosen by an educated guess [1]. But it is not an acceptable technique in a mass production (car industry). Standard DIN 3960 [2] gives a certain manual for the determination of these diameters. It suggests the iterative method for the calculation of the chamfer beginning circle diameter but without a reliable guideline. And as regards the protuberance, it refers to the correct calculation only in theory. This paper deals with the computing method to determine diameters of the beginning and the end of the function part of a tooth flank involute. It is designed for a specified tool with modifications for creating the chamfer or the protuberance undercut. The paper also takes into account the necessary shaving (grinding) stock or the backlash. Furthermore it refers to possible problems when the basic profile of the generating tool with the protuberance is designed from the basic rack tooth profile.

Laser Interferometric Measuring Method of Involute Artifact and Stabilization of Measurement

2011 ◽  
Vol 5 (2) ◽  
pp. 144-149
Author(s):  
Masaharu Komori ◽  
◽  
Fumi Takeoka ◽  
Aizoh Kubo ◽  
Hiroshige Fujio ◽  
...  
Keyword(s):  
Gear Tooth ◽  
Measuring Method ◽  
Tooth Profile ◽  
National Standard ◽  
Helical Gears ◽  
Involute Gears ◽  
Measuring Machine ◽  
Form Quality ◽  
Tooth Flank ◽  
Laser Interferometric

Vibration and noise are serious problems with involute spur and helical gears used, e.g., in drivetrains of vehicles such as automobiles. The gear tooth flank form of micrometer order markedly affects gear vibration and noise; therefore, the tooth flank form quality must be strictly controlled to maximize gear performance. Tooth profile measuring machines used in calibration for form error inspection of involute gears usually use an involute artifact, which itself must be calibrated highly accurately. However, it is typically difficult for current tooth profile measuring machine using contact stylus to calibrate the involute artifact with a high accuracy while satisfying traceability to a national standard. A highly precise and traceable measuring technology for the involute artifact is therefore required. The direct measurement of the involute artifact we propose uses a laser interferometer, whose measurement stability is confirmed in experiments measuring the detailed form of an involute tooth flank.

An Improved Determination of the Elastic Compliance of a Spur Gear Tooth Acted on by a Concentrated Load

1974 ◽  
Vol 96 (2) ◽  
pp. 382-384 ◽  
Author(s):  
A. Premilhat ◽  
G. V. Tordion ◽  
C. N. Baronet
Keyword(s):  
Gear Tooth ◽  
Spur Gear ◽  
Elastic Compliance ◽  
Tooth Profile ◽  
Concentrated Load ◽  
Complex Transformation ◽  
Stress Functions

The elastic compliance of a spur gear tooth acted on by a concentrated load is determined through the use of appropriate stress functions resulting from the complex transformation of the tooth profile. Comparisons with previously published results indicate a slightly greater flexibility of the tooth resulting from this analysis.

Geometry of Tooth Profile and Fillet of Face-Hobbed Spiral Bevel Gears

2007 ◽  
Author(s):  
Yi Zhang ◽  
Zhi Wu
Keyword(s):  
Gear Tooth ◽  
Mathematical Formulation ◽  
Tooth Profile ◽  
Tooth Surface ◽  
Generation Process ◽  
Tooth Contact Analysis ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

The determination of the geometry for the whole tooth profile, including the meshing profile and the tooth fillet, is important for tooth contact analysis and the mesh generation for FEM analysis of gear pairs. This paper presents a systematic approach for the determination of the complete tooth geometry of face-hobbed hypoid and spiral bevel gears. The detailed mathematical formulation for the generation of gear tooth surface and the equations for the tooth surface coordinates are provided in the paper. The surface coordinates and normal vectors are calculated at grid points selected based on the gear blank dimension. Using the machine tool settings as input, the computer model simulating the gear generation process precisely calculates the tooth geometry parameters on the selected grid. A numerical example is included in the paper to illustrate the presented approach.

Modeling of surface roughness in a novel magnetorheological gear profile finishing process

2020 ◽  
pp. 095440622097826
Author(s):  
Ravi Datt Yadav ◽  
Anant Kumar Singh ◽  
Kunal Arora
Keyword(s):  
Surface Roughness ◽  
Gear Tooth ◽  
Surface Characteristics ◽  
Spur Gear ◽  
Tooth Profile ◽  
Tooth Surface ◽  
Magnetic Flux Density ◽  
Element Analysis ◽  
Finishing Process ◽  
Gear Profile

Fine finishing of spur gears reduces the vibrations and noise and upsurges the service life of two mating gears. A new magnetorheological gear profile finishing (MRGPF) process is utilized for the fine finishing of spur gear teeth profile surfaces. In the present study, the development of a theoretical mathematical model for the prediction of change in surface roughness during the MRGPF process is done. The present MRGPF is a controllable process with the magnitude of the magnetic field, therefore, the effect of magnetic flux density (MFD) on the gear tooth profile has been analyzed using an analytical approach. Theoretically calculated MFD is validated experimentally and with the finite element analysis. To understand the finishing process mechanism, the different forces acting on the gear surface has been investigated. For the validation of the present roughness model, three sets of finishing cycle experimentations have been performed on the spur gear profile by the MRGPF process. The surface roughness of the spur gear tooth surface after experimentation was measured using Mitutoyo SJ-400 surftest and is equated with the values of theoretically calculated surface roughness. The results show the close agreement which ranges from −7.69% to 2.85% for the same number of finishing cycles. To study the surface characteristics of the finished spur gear tooth profile surface, scanning electron microscopy is used. The present developed theoretical model for surface roughness during the MRGPF process predicts the finishing performance with cycle time, improvement in the surface quality, and functional application of the gears.

The Research on Tooth Profile Total Deviation Measuring Method Based on Coordination Measuring Machine

2012 ◽  
Vol 184-185 ◽  
pp. 789-792
Author(s):  
Bing Li ◽  
Yu Lan Wei ◽  
Meng Dan Jin ◽  
Ying Ying Fan
Keyword(s):  
Mathematical Model ◽  
Data Processing ◽  
High Precision ◽  
Gear Tooth ◽  
Measuring Method ◽  
Tooth Profile ◽  
Cylindrical Gears ◽  
Total Deviation ◽  
Measuring Machine

Put forward a method that use scatter points which got in different places to measure the involution cylindrical gears, give a mathematical model that use the discrete points to sure the total deviation of gear tooth profile. The experience results show that this way is of high precision in measurement points, measurement an error data processing less intervention, etc.

Study on the Characteristics of Oval Gear

2014 ◽  
Vol 633-634 ◽  
pp. 1100-1103
Author(s):  
Yong Ping Liu ◽  
Peng Wang ◽  
Xi Long Xian ◽  
Shi Yi Zhang
Keyword(s):  
Gear Tooth ◽  
Three Dimensional ◽  
Tooth Profile ◽  
Transmission Characteristics ◽  
Conversion Method ◽  
Wire Cutting ◽  
Oval Gear

For the problem of generating oval gear tooth profile and driving characteristic, desgin the tooth profile of oval gear by the conversion method of tooth profile, and get its three-dimensional modal by Pro/E. The transmission characteristics of a pair of ovate gear are researched; it would help to further study wire cutting of the oval gear based on the involute profile ,which got by the conversion of method of tooth profile, and the driving characteristic help to study other characteristics of oval gear as well as the application in the machinery.

Determination of gear tooth friction by disc machine

1991 ◽  
Vol 24 (5) ◽  
pp. 269-275 ◽  
Author(s):  
K.L. Johnson ◽  
D.I. Spence
Keyword(s):  
Gear Tooth

Errors in the gear-tooth profile in shaving

2013 ◽  
Vol 33 (5) ◽  
pp. 309-311 ◽  
Author(s):  
A. N. Golovko ◽  
I. V. Golovko
Keyword(s):  
Gear Tooth ◽  
Tooth Profile

Surface fitting of an involute spur gear tooth flank roughness measurement to its nominal shape

Measurement ◽  
2016 ◽  
Vol 91 ◽  
pp. 479-487 ◽  
Author(s):  
José A. Brandão ◽  
Jorge H.O. Seabra ◽  
Manuel J.D. Castro
Keyword(s):  
Gear Tooth ◽  
Spur Gear ◽  
Surface Fitting ◽  
Roughness Measurement ◽  
Tooth Flank
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