Uncertainty analysis of cylindrical gear tooth profile measurement based on profilometer

2021 ◽  
Author(s):  
Ningzhi Li ◽  
Jiachun Lin ◽  
Hanxiao Li
Keyword(s):  
Uncertainty Analysis ◽  
Gear Tooth ◽  
Tooth Profile ◽  
Profile Measurement ◽  
Cylindrical Gear

scholarly journals Measuring errors due to the inclination of gear axis in the gear tooth profile measurement

1961 ◽  
Vol 27 (315) ◽  
pp. 205-211
Author(s):  
Toshio AIDA ◽  
Yoshio TERAUCM ◽  
Satoshi ODA
Keyword(s):  
Gear Tooth ◽  
Tooth Profile ◽  
Profile Measurement

scholarly journals Analytical solution to contact characteristics for a variable hyperbolic circular-arc-tooth-trace cylindrical gear

2021 ◽  
Vol 12 (2) ◽  
pp. 923-932
Author(s):  
Rui Guo ◽  
Yongqiao Wei ◽  
Yongping Liu ◽  
Dawei Li ◽  
Dong Yang ◽  
...  
Keyword(s):  
Elastic Deformation ◽  
Gear Tooth ◽  
Point Contact ◽  
Tooth Profile ◽  
Normal Curvature ◽  
Tooth Surface ◽  
Contact Form ◽  
Cylindrical Gear ◽  
Circular Arc ◽  
Contact Ellipse

Abstract. The variable hyperbolic circular-arc-tooth-trace (VH-CATT) cylindrical gear is a new type of gear. In order to research the contact characteristics of the VH-CATT cylindrical gear, tooth surface mathematical models of this kind of gear pair are derived based on the forming principle of the rotating double-edged cutting method with great cutter head in this regard. Then, according to the differential geometry theory and Hertz theory, the formula of the induced normal curvature and equation of the contact ellipse are derived based on the condition of continuous tangency of two meshing surfaces, which proves that the contact form of VH-CATT cylindrical gear is point contact. The present work establishes analytical solutions to research the effect of different parameters for the contact characteristic of the VH-CATT cylindrical gear by incorporating elastic deformation on the tooth surface, which have shown that the module, tooth number and cutter radius have a crucial effect on the induced normal curvature and contact ellipse of the VH-CATT cylindrical gear in the direction of tooth trace and tooth profile. Moreover, a theoretical analysis solution, a finite element analysis and the gear tooth contact pattern are carried out to verify the correctness of the computerized model and to investigate the contact type of the gear; it is verified that the contact form on the concave surface of the driving VH-CATT cylindrical gear rotates from dedendum at the heel to the addendum at toe and is an instantaneous oblique ellipse due to elastic deformation of the contact tooth profile, and the connecting line of the ellipse center is the contact trace path. It is indicated that the research results are beneficial for research on tooth break reduction, pitting, wear resistance and fatigue life improvement of the VH-CATT cylindrical gear. The results also have a certain reference value for development of the VH-CATT cylindrical gear.

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.

Research on Mathematical Modeling and Kinematic Simulation of Elliptic Family Gears

2013 ◽  
Vol 579-580 ◽  
pp. 300-304 ◽  
Author(s):  
Lian Xia ◽  
Da Zhu Li ◽  
Jiang Han
Keyword(s):  
Performance Analysis ◽  
Tooth Profile ◽  
High Order ◽  
Numerical Control ◽  
Gear Pair ◽  
Cylindrical Gear ◽  
Kinematic Simulation ◽  
Cad Modeling ◽  
Pure Rolling ◽  
Pitch Curve

Elliptic family gears are commonly used in non-circular gears, which include elliptic gear, high-order gear, elliptic deformed gear and high-order deformed gear, thereinto high-order deformed gear can include the elliptic family gears through adjust its order and deformed coefficient. Because non-circular gear has different tooth profile in different position of pitch curve and there is difference in the left and right tooth profile of the same gear tooth, thus the CAD modeling of non-circular gear is difficult for these characteristics; but the precise model of non-circular gear has important significance to the realization of numerical control machining, kinematic simulation and relevant mechanical analysis. This paper deduce the corresponding pure rolling mathematical model based on the pure rolling contact theory that cylindrical gear and non-circular gear mesh in the end face, and realize the CAD modeling of non-circular straight and helical gears by letting the cylindrical gear and non-circular gear make solid geometry operation, which is suitable for pitch curve with convex and concave. The non-circular gear shaping methods with equal polar and equal arc length are simulated by setting different discrete polar angles, and the transmission ratio curve and the angular acceleration curve of driven gear are get through the kinematic simulation of gear pair, which realize the transmission performance analysis of elliptic family gear pair. The above research results can be applied to the modeling and kinematic performance analysis of other non-circular gears.

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

Motion Simulation of Gears and Cams Using Working Model

1997 ◽  
Author(s):  
Shih-Liang Wang
Keyword(s):  
Complex Geometry ◽  
Gear Tooth ◽  
Tooth Profile ◽  
Line Contact ◽  
Motion Simulation ◽  
The Past ◽  
Working Model ◽  
Simulation Engine ◽  
Involute Gear ◽  
Involute Surface

Abstract Motion simulation of mechanism of line contact like gears and cams has been difficult in the past. With Working Model, NURBS based complex geometry can be modeled fairly easily, and its simulation engine can animate this type of mechanism accurately. In this paper several Working Model files are developed for visualization and analysis. An algorithm to generate involute gear tooth profile is introduced in this paper for the involute and a portion of non-involute surface.

Design of a special gear tooth profile in accordance with geometric criteria and fatigue strength

2017 ◽  
Vol 35 (2) ◽  
pp. 431-451
Author(s):  
Pedro Nel Martínez Henao ◽  
◽  
Nelson Arzola de la Peña ◽  
Keyword(s):  
Fatigue Strength ◽  
Gear Tooth ◽  
Tooth Profile
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