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Journal articles on the topic 'Tooth profile'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Jeong, Wonhyeong, Myungsung Lee, Sehoon Oh, Hansu Jeon, and Kwangouck Youm. "Investigation of Hybrid Tooth Profiles for Robotic Drives Based on IH Tooth Profiles and Cycloidal Curves." Applied Sciences 15, no. 10 (2025): 5389. https://doi.org/10.3390/app15105389.

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Recently, with policies aimed at strengthening domestic manufacturing and technological innovation, the robotics industry has been growing rapidly, and its applications are expanding across various industrial fields. Accordingly, the importance of high-performance speed reducers with flexibility and precision is gradually increasing. The tooth profiles used in conventional harmonic reducers have structural limitations, such as meshing discontinuity, restrictions on the radius of curvature of the tooth base, and distortion of the contact trajectory, especially when the number of teeth is small.

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2

Khin, Khin Thant. "Stresses Analysis on Spur Gear for Different Contact Ratio." International Journal of Advances in Scientific Research and Engineering (ijasre) 5, no. 7 (2019): 113–19. https://doi.org/10.31695/IJASRE.2019.33424.

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<em>This paper concentrated on the effect of contact ratio on the contact stresses generated on meshing spur gear teeth during the power transmission. In this study, various contact ratios of spur gear teeth have been analyzed. For this contact ratio considered, the rate of loads sharing and angular position of loads were determined on the involute profile of meshing tooth of each gearing. In addition to that, the different stress conditions of this tooth for the critical position (at the instant when the generated contact stress is at the maximum state) are determined. From this study, it is

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3

Yoon, K. Y., and S. S. Rao. "Dynamic Load Analysis of Spur Gears Using a New Tooth Profile." Journal of Mechanical Design 118, no. 1 (1996): 1–6. http://dx.doi.org/10.1115/1.2826851.

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A novel method was presented by the authors to minimize the static transmission error using cubic splines (C.S.) for gear tooth profile. A reduction in the transmission error is expected to reduce the gear vibration and noise by lowering the dynamic tooth load in a meshing cycle. To establish this fact, a dynamic analysis of the gear drive with involute tooth and modified tooth profiles (using C.S.) is performed. For this, first the tooth deformation is found and then the tooth dynamic load is determined for all reasonable speeds. A parametric study is conducted to establish the superiority of

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4

Chen, Zhen, Yingqi Li, Xiaoping Xiao, et al. "Design and Pressure Pulsation Analysis of Pure Rolling External Helical Gear Pumps with Different Tooth Profiles." Fluids 10, no. 2 (2025): 44. https://doi.org/10.3390/fluids10020044.

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This paper investigates the design methodologies of pure rolling helical gear pumps with various tooth profiles, based on the active design of meshing lines. The transverse active tooth profile of a pure rolling helical gear end face is composed of various function curves at key control points. The entire transverse tooth profile consists of the active tooth profile and the Hermite curve as the tooth root transition, seamlessly connecting at the designated control points. The tooth surface is created by sweeping the entire transverse tooth profile along the pure rolling contact curves. The fun

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5

Figliolini, Giorgio, and Jorge Angeles. "Synthesis of the Base Curves For N-Lobed Elliptical Gears." Journal of Mechanical Design 127, no. 5 (2004): 997–1005. http://dx.doi.org/10.1115/1.1901707.

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Motivated by the need to synthesize the tooth profiles of noncircular gears, we approach the synthesis of the tooth profile of circular spur gears using their pitch circle, rather than their base circle. We do this by means of envelope theory. The proposed formulation gives the involute tooth profile and its well-known base circle for any pitch radius and profile angle of the rack cutter, which coincides with the pressure angle for circular gears. Then, the foregoing approach applies to the synthesis of the base curves of noncircular gears with involute tooth profiles and of their rack. We do

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6

Doğan, Oğuz, Celalettin Yuce, and Fatih Karpat. "A Novel Method for Tooth Bending Stress Calculation of Gears with Asymmetric Teeth." Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi 7, no. 5 (2024): 2139–57. https://doi.org/10.47495/okufbed.1458733.

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Today, gear designs with asymmetric tooth profiles offer essential solutions in reducing tooth root stresses of gears. Although numerical, analytical, and experimental studies are carried out to calculate the bending stresses in gears with asymmetric tooth profiles a standard or a simplified equation or empirical statement has not been encountered in the literature. In this study, a novel bending stress calculation procedure for gears with asymmetric tooth profiles is developed using both the DIN3990 standard and the finite element method. The bending stresses of gears with symmetrical profile

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7

Ham, Seong-Hun, and Kwang-Wook Youm. "A Study of Pin-Pinion Tooth Profile Applied with Cycloid Tooth Profile." Journal of the Korean Institute of Gas 18, no. 6 (2014): 45–50. http://dx.doi.org/10.7842/kigas.2014.18.6.45.

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8

Yakimov, Hristo, Irina Aleksandrova, and Yosif Mitev. "MACHINING OF TOOTH PROFILES ON CNC MACHINES." Journal of the Technical University of Gabrovo 66 (June 2023): 29–33. http://dx.doi.org/10.62853/kmyu1846.

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Conventional methods of tooth machining using worm modular milling cutters, gear wheels and gear combs have common disadvantages - they require specialized equipment, are characterized by complex readjustment and relatively low productivity, which are eliminated in skiving. This paper views the possibilities for machining tooth profiles by means of skiving on CNC turning and milling machines. A new version of the kinematics of the process upon cutting inclined teeth has been implemented, where the feed is in the direction of the tooth, no correction in the angular speed is required and a skivi

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9

Bair, Biing-Wen, Chien-Fa Chen, Shih-Fa Chen, and Chung-Yi Chou. "Mathematical Model and Characteristic Analysis of Elliptical Gears Manufactured by Circular-Arc Shaper Cutters." Journal of Mechanical Design 129, no. 2 (2006): 210–17. http://dx.doi.org/10.1115/1.2406091.

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A circular-arc elliptical gear drive with convex (or concave) tooth profiles, which is used in an oil pump with a larger pumping volume, was simulated by using circular-arc shaper cutters with concave (or convex) tool profiles. Mathematical models of circular-arc elliptical gears, based on the theory of gearing and the gear generation mechanism, were also developed. The generated elliptical gear drive has a convex–concave tooth profile contact. Because of its complex geometry, the profile of circular-arc elliptical gears may exhibit tooth undercutting, and pointed teeth. Pointed teeth usually

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10

Komori, T., Y. Ariga, and S. Nagata. "A New Gears Profile Having Zero Relative Curvature at Many Contact Points (LogiX Tooth Profile)." Journal of Mechanical Design 112, no. 3 (1990): 430–36. http://dx.doi.org/10.1115/1.2912626.

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We have successfully developed a tooth profile which enables a spur gear having zero relative curvature at contact points under the engagement through the concave/convex pattern of contact and further enables a single flank of the tooth profile to have the infinite number of points where the relative curvature and specific sliding are zero values. We have given a name of “LogiX” to this tooth profile. A W-N (Wildhaber-Novikov) tooth profi¨le has been known as that having the concave/convex pattern of contact. The tooth profile, however, is applied only to a helical gear due to its feature of a

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11

Fetvaci, Cuneyt. "Computerised Tooth Profile Generation of Conjugated Involute Internal Gears." Key Engineering Materials 572 (September 2013): 355–58. http://dx.doi.org/10.4028/www.scientific.net/kem.572.355.

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This paper studies the conjugated involute profile which are used in internal gear pumps. In this type of gear mechanisms, the internal gear profile is completely conjugate of the external gear profile. A composite line of action curve is obtained because the root fillets also play role in engagement cycle. The perfomance of the mechanism is increased. By applying consequent transformations, firstly the tooth surface of the generated external gear is obtained and secondly the tooth surface of the conjugated involute internal tooth surface is obtained. Also asymmetric tooth is considered. Mathe

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12

P, Bhise. "Experimental Analysis of Gear Tooth Profile." Research and Reviews on Experimental and Applied Mechanics 7, no. 3 (2024): 39–42. https://doi.org/10.5281/zenodo.14275156.

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<em>This paper presents an experimental analysis of gear tooth profiles, focusing on the impact of profile geometry on performance, durability, and efficiency. The study investigates various tooth profile modifications, such as involute and non-involute shapes, to determine their effects on load distribution, stress concentration, and contact pattern. Using advanced testing equipment and finite element analysis (FEA), the research analyzes key parameters like contact stress, bending stress, and wear characteristics. Results demonstrate that specific profile optimizations significantly enhance

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13

Feng, P. H., F. L. Litvin, D. P. Townsend, and R. F. Handschuh. "Determination of Principal Curvatures and Contact Ellipse for Profile Crowned Helical Gears." Journal of Mechanical Design 121, no. 1 (1999): 107–11. http://dx.doi.org/10.1115/1.2829410.

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Helical gears with localized bearing contact of tooth surfaces achieved by profile crowning of tooth surfaces are considered. Profile crowning is provided by application of two imaginary rack-cutters with mismatched surfaces. The goal is to determine the dimensions and orientation of the instantaneous contact ellipse that requires the determination of principle curvatures of pinion-gear tooth surfaces. A simplified solution to this problem is proposed based on the approach developed in [1, 2] for correlation of principal curvatures and directions of generating and generated tooth surfaces. The

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14

Lei, W., W. Wu, Z. Zhang, and C. Peng. "Design and Improvement of Curved Envelope Meshing Pair Profile of Single Screw Compressor." IOP Conference Series: Materials Science and Engineering 1322, no. 1 (2024): 012007. https://doi.org/10.1088/1757-899x/1322/1/012007.

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Abstract In recent years, the wear problem of the wheel tooth in the single screw compressor (SSC had been solved due to the development and application of various envelope profiles. Among these profiles, the curved envelope profile shows performance advantages, which displays great application potential in the fields of high-temperature heat pump, steam compression, etc. However, SSC with curved envelop profile still faces the problem of incomplete design method, large leakage clearance, difficult processing and meshing pair interference under extreme conditions. Therefore, aiming at solving

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15

Joshi, Amol Vikas, and Santosh Jaju. "Geometric synthesis in the profile of the involute tooth for improving the performance of bending in the material of the spur gear." Journal of Physics: Conference Series 2837, no. 1 (2024): 012070. http://dx.doi.org/10.1088/1742-6596/2837/1/012070.

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Abstract Transferring power from one rotational axis to another in numbers of axes requires portable equipment such as gear. In operation, involuted teeth were reported as bending and pitting failures. Bending fatigue causes gear tooth cracks at the root, and pitting causes more wear. This bending failure was reduced with the help of material selection, geometric modifications like changes in profile shape, transmission error, module, tip relief, pressure angles, and the application of forces. A normal force acting on a gear tooth gets resolved into three components, like tangential, radial, a

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16

Zu, Li, Lan Lan Feng, and Yan Yang Sun. "Design and Simulation of New Tooth Profile of Flexspline for Harmonic Gear Drive." Applied Mechanics and Materials 741 (March 2015): 99–107. http://dx.doi.org/10.4028/www.scientific.net/amm.741.99.

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We focused on the parametric design and simulation of new tooth profile “circular arc-involute-circular arc” for flexspline in this paper. Based on the MATLAB software, the basic tooth profile of hob was designed. According to gear generating cutting principle, the simulation of processing for flexspline tooth profile has been realized. By tooth profile normal method, we calculated flexspline tooth profile which is conjugated with the basic tooth profile of the cutting tool, and gave the contrastive studies on process simulation and theoretical calculation. Results show that they are feasible

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17

Chen, Wei, Yuzhou Tian, Qiang Sun, and Pengfei Zhu. "A Novel Model of an S-Shaped Tooth Profile Gear Pair with a Few Pinion Teeth and Tooth Contact Analysis Considering Shaft Misalignments." Applied Sciences 13, no. 15 (2023): 8959. http://dx.doi.org/10.3390/app13158959.

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Due to the special meshing of convex and concave tooth profiles, an S-shaped tooth profile gear with a few teeth has the advantage of reducing the contact stress and improving the contact ratio. However, the theoretical inseparability of the center distance of an S-shaped tooth profile and shaft misalignments, including center distance errors and axis parallelism errors caused by manufacturing or installation errors, can easily cause tip contact and produce transmission errors. Accordingly, it is necessary to analyze the influence of shaft misalignments on the meshing performance. In this pape

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18

Thai, Nguyen Hong, and Phung Van Thom. "Replacing the involute profile with an improved cycloid profile to improve the bearing capacity for the elliptical gear drives." Vietnam Journal of Science and Technology 62, no. 3 (2024): 588–600. http://dx.doi.org/10.15625/2525-2518/18247.

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The involute curve is the most widely used in the design of tooth profiles for non-circular gears (NCGs) because of its mathematical simplicity and convenience for design and manufacture. Still, the condition to avoid undercutting often results in a large number of teeth and a small tooth size that reduces the load capacity of the gear drives. On the other hand, in elliptical gears (EGs), a particular case of NCGs, the unequal radii of the centrodes lead to unequal geometric shapes of the teeth arranged on the gear. To overcome the above phenomena and improve the load capacity of the gear driv

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19

Zhao, Qian, Zuoxiang Xing, Jing Yuan, Zhijun Zhang, Jun Zhu, and Huiming Jiang. "An Improved Modeling and Numerical Analysis Method for Tooth Surface Wear of Double-Arc Harmonic Gears." Materials 15, no. 24 (2022): 8869. http://dx.doi.org/10.3390/ma15248869.

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Tooth surface wear is one of the most common failure modes of harmonic gears, especially in space drive mechanisms. Due to difficulty accurately modeling its wear failure model and the complex mechanism, its dynamic behavior and wear mechanism have not been deeply investigated, and study of the double-arc tooth profile wear model is relative lacking. Therefore, an improved wear modelling and analysis method that is more in line with actual conditions for double-arc harmonic gears is here proposed. Firstly, a tooth surface wear model under mixed elastohydrodynamic lubrication (EHL) was establis

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20

Tang, Wu-Sheng, Yi-Shi Bai, Jin-Hua Zhang, Zhi-Yuan Wei, and Yao-Chen Shi. "Laser Triangulation-Based Measurement Device and Experimental Study of Industrial Timing Belt Profile Parameters." Journal of Nanoelectronics and Optoelectronics 16, no. 12 (2021): 1989–95. http://dx.doi.org/10.1166/jno.2021.3148.

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To address the problem of rapid and accurate measurement of tooth profile parameters in the production of industrial synchronous belts, a two-wheel synchronous belt tooth profile measurement device was built based on the laser triangulation method, and a tooth profile measurement data segmentation algorithm based on the slope feature discrimination was designed. Using the built measurement device and data segmentation algorithm, the tooth profile measurement test and tooth profile defect identification test were conducted for RU type synchronous belt with 90 teeth. The results show that the pr

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21

Corte-Real, A., A. Serra, M. J. Anjos, M. Carvalho, J. Gamero, and D. N. Vieira. "Tooth portion profile in criminology." Forensic Science International: Genetics Supplement Series 3, no. 1 (2011): e433-e434. http://dx.doi.org/10.1016/j.fsigss.2011.09.078.

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22

Wang, Hui Liang, Xiao Zhong Deng, Jian Jun Yang, and Kai Xu. "Mathematical Model of Topology Modification of Tooth Surface and Error Characteristics." Advanced Materials Research 941-944 (June 2014): 2255–58. http://dx.doi.org/10.4028/www.scientific.net/amr.941-944.2255.

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In order to analysis the processing performance of the CNC grinding machine, the master profile error distribution characteristics of gear grinding tooth error analysis method based on statistical process control techniques. Tooth profile error topology control charts, analysis of the tooth length direction and the tooth height direction of the error distribution, respectively, corresponding to establish the mean - range control chart. Control charts to achieve real-time distribution of the gear grinding process tooth profile error, error change trend analysis and prevention. Calculate the mac

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23

Alaci, S., F.-C. Ciornei, and I. A. Doroftei. "Proposed gear rack cutter for spur gear manufacturing by generating method. Part II: Comparison between the standard and modified profiles." IOP Conference Series: Materials Science and Engineering 1262, no. 1 (2022): 012040. http://dx.doi.org/10.1088/1757-899x/1262/1/012040.

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The paper proposes a method of cutting by generating of spur gears using a rack cutter with a modified geometry. The analytical equations of the tooth profile of the modified rack-gear cutter are deduced, both for involute zone and for filleting region, based on the remark that the profile is the envelope of successive positions of the tool. The undercutting radius for the modified profile is obtained from a system of transcendental equations which requires and a numerical method for solving it. Compared to the standard profile, the differences are insignificant. A program was written and the

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24

Lu, Daixing, Jiajia Sha, and Ye Shen. "Study on the Influence of Tool Tip Radius on the Tooth Root Strength of Helical Cylindrical Gear." Journal of Physics: Conference Series 2459, no. 1 (2023): 012084. http://dx.doi.org/10.1088/1742-6596/2459/1/012084.

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Abstract The bending fatigue strength of the tooth is an important index to measure the bearing capacity of the gear. The tooth root transition curve has a great influence on the bending strength of the gear. The profile of the tooth root transition curve depends on the shape of the tooltip. Therefore, the geometry of the tooltip must be considered in the simulation process of tooth profile generation. Contact analysis of helical gears with accurate geometric models is carried out in this paper. After generating tooth profiles machined by tools with different tip radii using MATLAB software, t

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Nguyen, Thanh Tung, Bui Ngoc Tuyen, and Van The Tran. "Analyzing Rotor Profile’s Effects to Performance of Roots Vacuum Pump Applied the CFD Method." Applied Mechanics and Materials 889 (March 2019): 518–25. http://dx.doi.org/10.4028/www.scientific.net/amm.889.518.

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The paper is mainly focused on analysis characteristics of lobe pump with three different tooth profiles: Circular, Epi-cycloidal and Circular–Involute–Circular (CIC) rotor profiles. Based on the geometric analysis and mathematical model, the CIC rotor profile combined Circular–Involute–Circular is generated. In this paper, the CFD techniques are used to estimate the effects of tooth profile and lobe number to the pump performance. The simulation results obtained from FLUENT software illustrated that the rotor profile effects remarkably to the pump performance. The outlet pressure of CIC rotor

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26

Tkach, Pavlo, Olga Reviakina, Anatolii Kryvosheia, Volodymyr Melnyk, Oleksandr Ustynenko, and Roman Protasov. "Meshing Characteristics of Profile Shifted Cylindrical Quasi-Involute Arc-Tooth-Trace Gears. Part 2. Calculation Results." Strojnícky časopis - Journal of Mechanical Engineering 73, no. 2 (2023): 181–92. http://dx.doi.org/10.2478/scjme-2023-0032.

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Abstract Based on the results obtained in the previous research, the values of meshing characteristics of profile shifted quasi-involute arc-tooth-trace gears is calculated. The influence of the values of profile shift coefficient and the angle of tooth trace on meshing characteristic distribution on the tooth flank surface along tooth trace is defined. The results can be used for design of profile shifted quasi-involute arc-tooth-trace gears, cut by Gleason-type cutters with different profile angle value.

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27

Zhou, Yang, Shuanghui Hao, and Minghui Hao. "Design and performance analysis of a circular-arc gear pump operating at high pressure and high speed." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 230, no. 2 (2015): 189–205. http://dx.doi.org/10.1177/0954406215572435.

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This paper presents a high-pressure and high-speed gear pump for aerospace application and introduces a circular-arc tooth profile that has no trapping feature and whose gears are in continuous one-point contact in the plane of rotation. Basic dimensions are determined and performance parameters of the gear pump are obtained by structural design of the gear pump. The performance parameters are discussed for different tooth profiles. A disc tool and hob are designed to generate the circular-arc tooth profile. A computer-aided design (CAD) system for the design of the circular-arc gear pump is d

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28

Kadhim, Mohammed Abdulaal, and Mohammad Qasim Abdullah. "Generation and Stress Analysis of Helical Gear Tooth Combining Involute with Epicycloidal and Hypocycloidal Profiles." International Journal of Automotive and Mechanical Engineering 22, no. 1 (2025): 12016–34. https://doi.org/10.15282/ijame.22.1.2025.6.0923.

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This paper examines the helical gear that combines the involute with epicycloidal-hypocycloidal profiles. The tooth profile was produced through the shaper-cutting process, which was conducted using an appropriate rack cutter with a Cartesian coordinate system. A computer program was developed using Microsoft Visual Basic and subsequently integrated into SolidWorks using the application programming interface. This numerical investigation aims to analyze the impact of tool parameters on the produced gear tooth profile, with the goal of enhancing the dynamic performance and deformation resistanc

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29

Chen, Yi-Cheng, and Jr-Yi Chen. "Optical Inspection System for Gear Tooth Surfaces Using a Projection Moiré Method." Sensors 19, no. 6 (2019): 1450. http://dx.doi.org/10.3390/s19061450.

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The demand for rapid online optical inspection of gear tooth surfaces is increasing, especially for precision gears. In this study, a non-contact optical measurement method was established for the inspection of gear tooth surfaces. For the system architecture, a halogen lamp was selected as the light source, and a collimated beam was produced by an autocollimator. Subsequently, moiré fringes were formed as the collimated beam went through the two linear gratings. The moiré fringes projected on the gear tooth surface were recorded with a charge-coupled device (CCD) camera, and the contour of th

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30

Qiu, Kun, and Zhen Hai Long. "Residual Stress Profile of Ultra High Strength Low Alloy Steel Induced by High Speed Milling Process." Advanced Materials Research 658 (January 2013): 188–93. http://dx.doi.org/10.4028/www.scientific.net/amr.658.188.

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In order to improve the surface quality of ultra high strength low alloy steel work-pieces produced by high-speed face milling process, 23-1 factorial design experiment was con-ducted and the residual stress profiles within the surface and subsurface layer of work-pieces were measured. Corresponding empirical models for the residual stress profile were presented and the effects of cutting parameters (cutting velocity, feed per tooth, depth of cut) on characteristics of the residual stress profile were studied. Results show that: with the range of cutting parameters tested, the compressive resi

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31

Atanasovska, Ivana, Radivoje Mitrovic, and Dejan Momcilovic. "Explicit Parametric Method for Optimal Spur Gear Tooth Profile Definition." Advanced Materials Research 633 (January 2013): 87–102. http://dx.doi.org/10.4028/www.scientific.net/amr.633.87.

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The gear tooth profile has an immense effect on the main operating parameters of gear pairs (load capacity, working life, efficiency, vibrations, etc). In current engineering research and practice, there is a strong need to develop methods for tooth profile optimization. In this paper a new method for selecting the optimal tooth profile parameters of spur gears is described. This method has been named the Explicit Parametric Method (EPM). The addendum modification coefficient, radius of root curvature, and pressure angle of the basic rack for cylindrical gears, have been identified as the main

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32

Veciana, Joaquim Maria, Pau Salvadó, Pau Català, and Lluïsa Jordi. "Analysis of Energy Efficiency in Spur Gear Transmissions: Cycloidal Versus Involute Profiles." Machines 12, no. 12 (2024): 943. https://doi.org/10.3390/machines12120943.

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The involute profile is used almost exclusively in the manufacturing of spur gears. Nevertheless, in machinery design, the evaluation of environmental factors, such as energy efficiency, has become increasingly important when choosing between feasible solutions. As a result, the study of alternative profiles is gaining interest. The key novelty of this study is the comparative analysis of involute and cycloidal gear profiles with respect to frictional power losses in the tooth contact, as well as their impact on energy efficiency in spur gear transmissions. The coefficient of friction is appro

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Várkuli, Miklós Gábor. "Improved accuracy gear tooth CAD modelling." Design of Machines and Structures 9, no. 2 (2019): 51–55. http://dx.doi.org/10.32972/dms.2019.015.

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The paper deals with a possible improvement of gear tooth profiles by using exact calculations for generating 2D curves instead of approximation processes. This method can be applied in almost all CAD software and gives a far superior result in profile precision.

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Chang, Shinn-Liang, and Chung-Biau Tsay. "Computerized Tooth Profile Generation and Undercut Analysis of Noncircular Gears Manufactured With Shaper Cutters." Journal of Mechanical Design 120, no. 1 (1998): 92–99. http://dx.doi.org/10.1115/1.2826682.

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Pitch curves of a conjugate noncircular gear pair are derived based on kinematic considerations. A method for considering the inverse mechanism relationship and the equation of meshing, is proposed here to derive a complete mathematical model of noncircular gears manufactured with involute-shaped shaper-cutters. The proposed method is similar to the contact line method and the envelope method, but is easier to apply to the determination of tooth profiles. A computer program is developed for generation the tooth profile with backlashes. Undercutting analysis is also investigated by considering

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35

Chen, Yangzhi, and Li Yao. "Design formulae for a concave convex arc line gear mechanism." Mechanical Sciences 7, no. 2 (2016): 209–18. http://dx.doi.org/10.5194/ms-7-209-2016.

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Abstract. Line gear is a newly developed gear mechanism with point contact meshing according to space curve meshing theory. This paper proposes a new form of line gear with a couple of concave convex arc tooth profiles. It has four characteristics. First, contact curve of the driving line gear is a cylindrical spiral curve. Second, two axes of a pair of line gears are located in the same plane with an arbitrary angle. Third, at the mesh point, normal tooth profiles of a line gear pair are a couple of inscribed circles. Namely, they form a couple of concave convex tooth profiles. Fourth, the to

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36

KOYAMA, Tomio, Masanori KAGOTANI, and Takeshi HOSHIRO. "Timing belt noise. A comparison between trapezoidal tooth profile belt and circular tooth profile belt." Transactions of the Japan Society of Mechanical Engineers Series C 54, no. 505 (1988): 2278–83. http://dx.doi.org/10.1299/kikaic.54.2278.

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37

Chang, S.-L. "A new idea to improve tooth profile precision of involute spur gears manufactured by hob cutters." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 218, no. 3 (2004): 327–43. http://dx.doi.org/10.1243/095440604322900453.

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Theoretically, hob cutters with a straight-sided cutting edge can generate a perfect involute tooth profile. However, due to an unbalanced cutting force, there will be deviation between the actual and the theoretical tooth profile. In this paper, an involute tooth profile manufactured by a hob cutter has been developed based on the theory of even contact. The concept of a shifted cutter was used to correct the tooth profile deviation of involute spur gears.

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38

Cristescu, A., L. Andrei, and B. Cristescu. "Influence of tooth profile on the noncircular gear tooth contact." IOP Conference Series: Materials Science and Engineering 174 (February 2017): 012005. http://dx.doi.org/10.1088/1757-899x/174/1/012005.

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39

Liu, Yong Ping, Peng Wang, Xi Long Xian, and Shi Yi Zhang. "Study on the Characteristics of Oval Gear." Applied Mechanics and Materials 633-634 (September 2014): 1100–1103. http://dx.doi.org/10.4028/www.scientific.net/amm.633-634.1100.

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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.

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Yao, L., J. S. Dai, and H. Li. "Mathematical modelling and manufacturing of the internal toroidal tooth profile." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 218, no. 9 (2004): 1043–51. http://dx.doi.org/10.1243/0954406041991224.

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This paper investigates the toroidal tooth profile of an epicyclic gear train based on the analysis of the integrated motion from both sun-worm and planet worm-gears and develops a mathematical model based on the coordinate transformation between the coordinate system of the stationary internal gear and that of the planet worm-gear. The model is derived from the geometrical analysis of the meshing system and is used to model the meshing surface which is produced as a result from the enveloping surface. This is further extended to model the internal toroidal tooth profile in the stationary gear

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Abdullah, Mohammad Qasim, and Mohammed Abdulaal Kadum. "Stress Concentration factor Analysis of Helical Gear Drives with Asymmetric Teeth Profiles." Journal of Engineering 24, no. 5 (2018): 14. http://dx.doi.org/10.31026/j.eng.2018.05.02.

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This study investigates the influence of asymmetric involute teeth profiles for helical gears on the bending stress. Theoretically, bending stress has been estimated in spur involute gears which have symmetric teeth profile by based on the Lewis, 1892 equation. Later, this equation is developed by, Abdullah, 2012. to determine the effect of an asymmetric tooth profile for the spur gear on the bending stress. And then these equations are applied with stress concentration factor once for symmetric and once other for asymmetric teeth profile. In this paper, the bending stresses for various types

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Li, Tianxing, Xiaotao An, Xiaozhong Deng, Jinfan Li, and Yulong Li. "A New Tooth Profile Modification Method of Cycloidal Gears in Precision Reducers for Robots." Applied Sciences 10, no. 4 (2020): 1266. http://dx.doi.org/10.3390/app10041266.

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The tooth profile modification of cycloidal gears is important in the design and manufacture of precision reducers or rotary vector (RV) reducers for robots. The traditional modification design of cycloidal gears is mainly realized by setting various machining parameters, such as the size and center position of the grinding wheel. The traditional modification design has some disadvantages such as complex modification calculation, uncontrollable tooth profile curve shape and unstable meshing performance. Therefore, a new tooth profile modification method is proposed based on the consideration o

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Fu, Xuezhong, Zongde Fang, Yanmei Cui, Xiangying Hou, and Jianhua Li. "Modelling, design and analysis of offset, non-orthogonal and profile-shifted face gear drives." Advances in Mechanical Engineering 10, no. 9 (2018): 168781401879825. http://dx.doi.org/10.1177/1687814018798250.

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This article proposes the application of a profile-shifted grinding disc to generate an offset, non-orthogonal and profile-shifted face gear. A detailed investigation of the modelling, tooth geometry and contact characteristics of the offset, non-orthogonal and profile-shifted face gear has been conducted. The mathematical models of the profile-shifted shaper cutter, profile-shifted pinion, profile-shifted grinding disc and offset, non-orthogonal and profile-shifted face gear are established. Considering the topological modification, the tooth surface equation of the offset, non-orthogonal and

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Cai, Yingjie, Ligang Yao, and Guowu Wei. "Generation of tooth profile for Roots rotor based on virtual linkage associated with Assur group." Advances in Mechanical Engineering 8, no. 12 (2016): 168781401668335. http://dx.doi.org/10.1177/1687814016683352.

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This article, for the first time, presents the generation of Roots rotor tooth profiles based on an Assur-group-associated virtual linkage method. Taking the original Roots rotor as an example, structure and geometry of the Roots rotor are introduced, and based on the principle of inversion, an equivalent virtual linkage is identified for generating dedendum tooth profile of the rotor. Using linkage decomposition associated with elemental Assur groups, algorithm for computing the tooth curve is constructed leading to the explicit expression of rotor profile and the corresponding numerical simu

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Tsai, Yi Hung, Shen Jenn Hwang, and Yunn Lin Hwang. "Circular and Noncircular Conjugate Tooth Profiles Generated by a Novel Rack-Cutter." Applied Mechanics and Materials 63-64 (June 2011): 948–51. http://dx.doi.org/10.4028/www.scientific.net/amm.63-64.948.

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This paper proposes a new type of rack-cutter can generates the circular and noncircular conjugate tooth profiles. Based on the envelope theory and coordinate transformation method, the mathematical and geometric models for the conforming rotors design are proposed. A selected smooth continuous curve equation can be assigned as the initial profile for the rack-cutter. Results from this research can be successfully applied to different kinds of tooth profile design of gerotor pumps and rotary machines.

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Zhang, Man Dong, Ming Lv, and Sheng Qiang Yang. "Theoretical Research on Tooth Profile Modification with Electroplated CBN Hard Honing Wheels." Key Engineering Materials 375-376 (March 2008): 226–30. http://dx.doi.org/10.4028/www.scientific.net/kem.375-376.226.

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Using plated CBN hard honing wheels with standard involute tooth profiles, there will be the middle concave error around pitch circle on the machined gear tooth surfaces. Therefore, standard involute tooth profiles of honing wheels have to be modified properly before electroplating CBN. In the paper, aiming at the tooth profile modification of honing wheels, the standard involute curve was converted into a spline curve, and control points of the spline curve were parameterized in solid modeling of honing wheels. By the Pro/E and ANSYS Workbench software, the engaging situation between honing w

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Chen, Cong Gui, Liang Bin Hu, Bi Wen Li, and Sheng Li. "Design Principle’s Research of Traction Gear’s Modification Slotting Cutter of High-Speed Locomotive." Advanced Materials Research 139-141 (October 2010): 813–18. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.813.

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According to the traditional tooth profile, modification process cannot meet the traction gear’s technical requirements of the high-speed locomotive. A new way for the tooth profile modification technology was provided in the paper. The slotting profile modification process was proposed, the formulating methods of the tooth profile modification K diagram was introduced, modification curve fit as the sections of involutes, the modification profile angles of slotting cutter corresponding sections of involutes was deduced using the profile angle error analysis theory and the tooth profile of modi

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P. Jeyaraman , B. R. Aravindhraj, P. Jeyaraman ,. B. R. Aravindhraj. "Super Finishing of Gear Tooth Profile using Profile Grinding." International Journal of Mechanical and Production Engineering Research and Development 8, no. 4 (2018): 147–54. http://dx.doi.org/10.24247/ijmperdaug201816.

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Lim, Jeongsuk, Sunghoon Kang, and Young Seon Lee. "Dimensional Changes by Heat Treatment of Helical Gear." Key Engineering Materials 535-536 (January 2013): 271–74. http://dx.doi.org/10.4028/www.scientific.net/kem.535-536.271.

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The dimensional change of tooth profile by heat treatment of helical gear was investigated by experimental and numerical approaches. Especially, the three-dimensional elasto-plastic finite element (FE) simulation was adopted to analyze the elastic deformation during load, unloading, ejecting of workpiece. Quenching simulation was also carried out to investigate the change of tooth profile on the forged gear. In experiments, the amount of elastic deformation of the forged gear was quantitatively determined by comparing the tooth profiles on the forged gear and die. The dimensional change of the

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Chen, Zhen, Bo Lei, Ling Qin, Guoting Qiu, and Alfonso Fuentes-Aznar. "Computerized Design, Simulation of Meshing and Stress Analysis of External Helical Gear Drives Based on Critical Control Points." Energies 15, no. 12 (2022): 4290. http://dx.doi.org/10.3390/en15124290.

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Helical gears are widely used in powertrain systems. The computerized design of a new type of non-generated external helical gears based on critical control points at the transverse tooth profile is presented. The entire tooth profile is divided into different parts including the active tooth profile and fillet by control points. Involutes, circular arcs and Hermite curves are defined between two critical control points and smoothly connected with each other at those control points. The parametric equations for the tooth surfaces are derived considering the position of the mentioned control po

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