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Journal articles on the topic 'Involute gears'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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1

Liu, L., and Y. H. Huang. "Spiral involutes and their application in gear transmission." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 12 (2011): 2981–90. http://dx.doi.org/10.1177/0954406211408782.

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Involute helical gears mesh based on the intersections of involute helicoids. However, spiral involutes on the tooth surface do not participate in meshing directly. A new type of gear drive, the spiral involute gear drive, is proposed that works on the contact of spiral involutes. The generation of tooth profile is introduced in detail. Through relative-stagnation method, spiral involutes prove to have conjugation characteristics. To testify whether the transmission ratio of cylindrical spiral involute gears is constant, simulation is implemented in commercial codes ADAMS based on solid models

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2

Huang, Yin Hui, and Liu Lei. "Spiral Involutes and its Application in Gear Transmission." Advanced Materials Research 228-229 (April 2011): 106–13. http://dx.doi.org/10.4028/www.scientific.net/amr.228-229.106.

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Involute helical gears mesh based on the intersections of involute helicoids. However, spiral involutes on the tooth surface do not participate in meshing directly. A new type of gear drive, the spiral involute gear drive is proposed that works on contact of spiral involutes. The generation of tooth profile is introduced in detail. Through relative-stagnation method spiral involutes prove to have conjugation characteristics. To testify whether the transmission ratio of cylindrical spiral involute gears is constant, simulation is implemented in commercial codes ADAMS based on solid models of a

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3

Mitome, Ken-ichi, Tohru Gotou, and Takeshi Ueda. "Tooth Surface Measurement of Conical Involute Gears by CNC Gear-Measuring Machine." Journal of Mechanical Design 120, no. 2 (1998): 358–63. http://dx.doi.org/10.1115/1.2826981.

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Developed is a new tooth surface measurement of conical involute gears by CNC gear-measuring machines. Advances in the design and production of conical involute gears and its wide applications are demanding the measurement of the conical involute gears using CNC gear measuring machines. Therefore, a new concept called an “equivalent helical gear” is introduced. Thus, a conical involute gear can be measured as a helical involute gear. Experiments demonstrate that this new method gives accurate results and has practical value. Finally tooth surface analysis of a conical involute gears is also pr

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4

Liu, Lei, and Zhu Qing Huang. "Novel Torus-Involute Gear Transmission." Applied Mechanics and Materials 155-156 (February 2012): 1050–55. http://dx.doi.org/10.4028/www.scientific.net/amm.155-156.1050.

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A novel torus-involute gear transmission is presented in this paper. There are two types of tooth profiles for torus-involute gears: convex tooth and concave tooth. Torus-involute gears are non-sensitive to axial misalignments and allow variable shaft angle without meshing interference. Based on revealing of essence for tooth profiles, introducing the parameter t and discretizing this type of gear into tiny linear continuous corrected gears, a design method is proposed. To testify whether the transmission ratio of torus-involute gear transmission is constant, simulation is implemented in comme

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5

Zhang, Yikun, and Yongping Liu. "Simulation of VERICUT-based Generating Grinding of Involute Beveloid Gears." Academic Journal of Science and Technology 5, no. 2 (2023): 74–78. http://dx.doi.org/10.54097/ajst.v5i2.6285.

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Based on the principle of generating grinding, VERICUT is used for generating grinding of involute beveloid gears. Firstly, the tooth surface equation of the involute beveloid gears is derived according to the principle of involute beveloid gears forming and gear meshing theory, and the theoretical model of the involute beveloid gear is established; secondly, the CNC conical gear grinding machine model, grinding wheel tool model and tooth blank are built in UG and imported into VERICUT, and the CNC machining program of the generating grinding is written to carry out the generating grinding sim

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6

Shuai, Mo, Ma Shuai, Jin Guoguang, Gong Jiabei, Zhang Ting, and Zhu Shengping. "Design principle and modeling method of asymmetric involute internal helical gears." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 1 (2018): 244–55. http://dx.doi.org/10.1177/0954406218756443.

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In the field of mechanical engineering, involute helical gears are widely used. Compared with the involute spur gear, helical gears have a high bearing strength, more smooth transmission, less impact and less noise. The internal gear pairs have the features of large transmission ratio, low vibration, low noise and low wear and hence are widely used in planetary gear transmission systems. In order to meet the requirements of high strength, high speed of the modern gear transmission systems, a new type of asymmetric involute internal helical gears is designed based on conventional involute gears

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7

Liu, Yong Ping, Peng Fei Meng, and Chi Bing Hu. "Study on Meshing Characteristic and CAM Technology of Eccentric Involute Gears." Advanced Materials Research 479-481 (February 2012): 917–20. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.917.

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According to the meshing principle of noncircular gears, the meshing characteristic and digital manufacturing technology of eccentric involute gears is studied. Based on analyzing the parameterized modeling of pitch curve, transmission characteristics and convex-concave property on eccentric involute gears, the transmission feasibility of this type gear is proved. Through tooth shape design, CAM calculation and processing simulation, the validity and manufacturability of theoretical design method on this type gear is proved. The research results can provide more systemic theory basis for the d

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8

Fetzer, Karsten, Stefan Landler, Jonas-Frederick Berger, Michael Otto, and Karsten Stahl. "Fast Load Distribution Calculation for Cylindrical Gears with Non-Involute Tooth Profiles." Machines 13, no. 1 (2024): 22. https://doi.org/10.3390/machines13010022.

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Advancements in manufacturing technology provide users with new opportunities for the design of gears. Special gearings with customized non-involute tooth profile geometries offer a promising alternative to conventional involute gears, addressing limitations, such as undercutting and small radii of curvature near the tooth root. However, the absence of standardized design procedures for non-involute gears, such as ISO 6336 for involute gears, often necessitates reliance on numerical simulations and methodologies using approximations. Analytical methods for determining key parameters—such as th

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9

Shen, Shao Hua, and Xiang Dong Shi. "The Parametric Design of the External Transmission of Involute Beveloid Gear with Parallel Axes." Advanced Materials Research 189-193 (February 2011): 1567–70. http://dx.doi.org/10.4028/www.scientific.net/amr.189-193.1567.

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Involute beveloid gear is one of the involute spur gears .It can be work with parallel axes, intersecting Axes, crossed Axes. Lateral clearance of the gear transmission backlash can be controlled by adjusting the relative axial position of involute beveloid gear transmission pair between two gears. It make a very small backlash or zero backlash .It can be used in backlash-free precision transmission .Its manufacturing is easy and its load capacity and transmission is high. In different cross-section with a different modification coefficient is its geometrical characteristics. The most importan

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10

Lin, Zheng, and Li Gang Yao. "Mathematical Model and 3D Modeling of Involute Spiral Bevel Gears for Nutation Drive." Advanced Materials Research 694-697 (May 2013): 503–6. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.503.

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The mathematical model and 3D modeling of involute spiral bevel gears for nutation drive are considered. The basic tooth profile of involute is composed of involute curve and dedendum transition curve, and the equations have been established. The mathematical model of crown gear with involute profile is obtained, and then the mathematical models of the involute spiral bevel gears are developed. The tooth surface modeling of involute spiral bevel gear is proposed, and the 3D modeling of the involute spiral bevel gear for nutation drive is illustrated.

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11

Alipiiev, Ognyan. "Bidirectional modification of gears in the generalized theory of meshing." MATEC Web of Conferences 287 (2019): 01006. http://dx.doi.org/10.1051/matecconf/201928701006.

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An important part of “Generalized theory”, developed by the author of this article, is the “bidirectional modification” of involute gears. The main point of the proposed modification is that together with the traditional “radial modification” of the basic rack, an additional “tangential modification” of the side profiles of the rack-cutters is introduced. As a result, the area of possible existence of involute gear drives in the generalized theory is considerably extended. Based on the bidirectional modification, a new classification of involute gears at their meshing with a rack cutter is pro

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12

Okorn, Ivan, Marko Nagode, and Jernej Klemenc. "Operating Performance of External Non-Involute Spur˝and Helical Gears: A Review." Strojniški vestnik – Journal of Mechanical Engineering 67, no. 5 (2021): 256–71. http://dx.doi.org/10.5545/sv-jme.2020.7094.

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In practical use, most gears have an involute shape of tooth flanks. However, external involute gears have some drawbacks, such as unfavourable kinematic conditions at the beginning and end of meshing, a limited minimum number of teeth, and the highly loaded convex-convex (i.e., non-conformal) contact. Researchers have developed and analysed various non-involute forms of tooth flanks, but they have not been widely accepted. The main reasons are higher manufacturing costs and sensitivity to manufacturing and assembly errors. Analyses of non-involute forms of teeth are mostly theoretical (analyt

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13

Radzevich, Stephen P. "A Way to Improve the Accuracy of Hobbed Involute Gears." Journal of Mechanical Design 129, no. 10 (2006): 1076–85. http://dx.doi.org/10.1115/1.2761919.

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Involute gears are widely used in the design of machines and mechanisms. Performance of gear transmissions, e.g., performance of automobile transmissions, strongly depends upon the accuracy of gears of which the transmission is comprised. The higher the gear accuracy, the higher performance of the gear transmission observed. An increase of accuracy of involute gears reduces vibration of the transmission, and causes lower noise excitation. A significant amount of gears for the needs of the automotive industry is manufactured by hobbing. Reported in this paper is a way to improve the accuracy of

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14

Sepp, Sebastian, Joshua Goetz, and Karsten Stahl. "Acoustical behavior of loss-optimized involute gears." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 263, no. 5 (2021): 1574–85. http://dx.doi.org/10.3397/in-2021-1876.

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The progressing electrification of vehicle drive systems focuses more and more on efficient high-speed concepts. Increasing the motor speed leads to a higher power density of the electrified power train and thereby to an increased range for battery electric vehicles. The high rotational speeds cause new challenges in designing gearboxes regarding the efficiency and the acoustical behavior. Most present gearings in conventional vehicles are designed with high tooth depths to ensure low noise excitation behavior combined with the best possible efficiency. By changing the gear geometry to smaller

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15

Wu, Xiu Hai. "Parametric Modeling for Spiral Bevel Gear Based on PRO/E." Applied Mechanics and Materials 215-216 (November 2012): 1062–66. http://dx.doi.org/10.4028/www.scientific.net/amm.215-216.1062.

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The author describes tooth profile formatting mechanism of spherical involute spiral bevel gear based on Principles of Gear conjugate, establishes the mathematical model of spiral bevel gears. The precise spherical involute of spiral bevel gears is generated with parametric modeling idea and th secondary development method based on PROGRAM of PRO/E software. Finally, a complete spherical three-dimensional modeling of the involute spiral bevel gear is established, which provides a method of parametric design and manufacturing of spiral bevel gears.

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16

Wei, Jing, Ai-Qiang Zhang, Yu-Liang Yang, Dong-Ming Zhou, and Xue-bin Ru. "A study of generating principles and loading capacity for one torus involute gears." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 230, no. 19 (2016): 3528–40. http://dx.doi.org/10.1177/0954406215612828.

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Gear geometry is critical to the transmission performance. It not only affects the relative motion characteristics, lubrication, efficiency, and loading capacity but also affects the noise and vibration, as well as working reliability of system. The generating principles of one kind of torus involute (TI) gears is presented in this paper. The mathematical model and profiles equation of torus involute gears are derived and the profiles equation and its parameters are proposed. The correct meshing condition and tooth contact analysis (TCA) are analyzed. The loading capacity including contact str

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17

Fan, Zhimin, Wanfeng Zhou, Ruixue Wang, and Na Wang. "Effect of tooth waist order parameters of double involute gears on lubrication performance of gear drive." Industrial Lubrication and Tribology 68, no. 6 (2016): 671–75. http://dx.doi.org/10.1108/ilt-09-2015-0133.

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Purpose The purpose of this paper is to derive a new lubrication model of double involute gears drive and study the effect of the tooth waist order parameters of double involute gears on lubrication performance. Design/methodology/approach The new lubrication model of double involute gears drive was established according to the meshing characteristics of double involute gears drive and the finite length line contact elastohydrodynamic lubrication theory. Numerical calculation of the lubrication model of gear drive was conducted using the multigrid method. Findings The results show that the oil

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18

Li, Wen Long, Li Wei, and Shao Jun He. "Shaping Principle in Hobbing and Analysis on Errors of Involute Gear Tooth Surfaces." Advanced Materials Research 189-193 (February 2011): 4173–76. http://dx.doi.org/10.4028/www.scientific.net/amr.189-193.4173.

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An involute helical surface is one of the surfaces widely used in engineering. There are four characteristics lines ( involute, helix, straight generatrix, pathofcontact) on it. On the basis of characteristic lines, the shaping principle in hobbing is studied, the error characteristics and their interrelations are analyzed. The analysis formula of involute gear tooth surface errors is given for spur gears and helical gears.

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Spitas, C., and V. Spitas. "Can non-standard involute gears of different modules mesh?" Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 220, no. 8 (2006): 1305–13. http://dx.doi.org/10.1243/09544062jmes316ft.

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Under the current standardized involute gear systems, meshing of gears of different modules is a practical impossibility. However, by performing a fresh reinterpretation of the well-established fundamental meshing principles, a more insightful form for the compatibility equations that govern involute gear tooth generation and meshing can be obtained. This article reports some first non-standard designs based on this analysis that allows gears of different modules to mesh. By the same token, standard gears can be manufactured with non-standard hobs and vice versa. Initial investigation suggests

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20

Fetvaci, Cuneyt, and C. Erdem Imrak. "Computer Modeling and Simulation of Spur Involute Gears by Generating Method." Key Engineering Materials 450 (November 2010): 103–6. http://dx.doi.org/10.4028/www.scientific.net/kem.450.103.

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This study analyzes the forming principle of spur gears with asymmetric teeth profile by rack-type and pinion-type cutters. Mathematical models of generating and generated surfaces manufactured by generating-type cutters are given. Asymmetric gear tooth is also considered. A computer program is developed to display computer graphs of the spur gears with asymmetric involute teeth. The simulated motion path of the generating cutter is illustrated. The developed computer programs are very helpful in the design of involute gears.

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21

He, Jia Ning, Yong Gao, Hai Bin Zhang, Chao Zhang, and Xu Lei Deng. "Simulation Research on Undercutting Properties of Involute Gears Based on VB." Advanced Materials Research 655-657 (January 2013): 408–11. http://dx.doi.org/10.4028/www.scientific.net/amr.655-657.408.

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Establishing the corresponding relationship between radius at tooth tip and tooth root fillet by the curvature of conjugate flank based on the generating method to manufacture for gears. According to the Visual Basic, a 2-D mathematical model of relationship between undercutting phenomena and modulus, teeth and modification coefficient of involute gear was built, and then simulated undercutting influence level caused by modulus, teeth and modification coefficient. The generating method dynamic processes, generating profile and the root drawing obtained by the simulation will directly reflect t

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22

Komori, Masaharu, Fumi Takeoka, Aizoh Kubo, et al. "Laser Interferometric Measuring Method of Involute Artifact and Stabilization of Measurement." International Journal of Automation Technology 5, no. 2 (2011): 144–49. http://dx.doi.org/10.20965/ijat.2011.p0144.

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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

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23

Liu, Lei, Jingwen Tan, and Meijuan Fang. "Geometry and contact characteristics of torus involute gears." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 231, no. 2 (2016): 250–70. http://dx.doi.org/10.1177/0954408915591718.

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Aimed at overcoming high sensitivity to machining or mounting error of line-contact conjugate surfaces, a novel torus involute gear drive is proposed which can compensate large axial misalignments and possess good meshing characteristics without lead correction. The torus involute gear is essentially a special spur gear with continuous shifting in the second order. Based on the processing principle of the torus involute gears, their mathematical models are established according to the corresponding imaginary rack cutter. In order to provide the approach to choose proper designing parameters, g

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Anderson, N. E., and S. H. Loewenthal. "Efficiency of Nonstandard and High Contact Ratio Involute Spur Gears." Journal of Mechanisms, Transmissions, and Automation in Design 108, no. 1 (1986): 119–26. http://dx.doi.org/10.1115/1.3260774.

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A power loss prediction method previously developed by the authors was extended to include involute spur gears of nonstandard proportions. The method can now be used to analyze the effects of modified addendum, tooth thickness, and gear center distance in addition to the parameters previously considered which included gear diameter, pitch, pressure angle, face width, oil viscosity, speed, and torque. Particular emphasis is placed on high contact ratio gearing (contact ratios greater than two). Despite their higher sliding velocities, high contact ratio gears can be designed to levels of effici

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Máté, Márton, Károly-István Gál, and Ferenc Tolvaly-Roșca. "Synthesis and CAD-Examination of a Cylindrical Gear Pair Derived from a Cosine Profiled Rack." Műszaki Tudományos Közlemények 19 (2023): 37–43. http://dx.doi.org/10.33894/mtk-2023.19.06.

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The problematic of gear profiles has again come to the fore during the power demands imposed by technical development. Most of nowadays gears have involute profile due to its numerous ad-vantages. The most important is that that axis distance variation does not affect the transmission ratio. According to [1], a cosine gear drive has a lower slip coefficient and the contact and bending stresses by charge are significantly lower compared to an involute gear. This paper presents a study regarding the generation synthesis of a cosine profiled gear pair, using a single cosine profiled rack, in a CA

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Tretyak, Tatiana, Alexander Leonidovich Myronenko, and Sergii Aleksandrovich Myronenko. "Profiling of a shaped worm cutter for shaping gears with non-involute tooth profile." Bulletin of the National Technical University «KhPI» Series: Dynamics and Strength of Machines, no. 1 (December 31, 2021): 27–31. http://dx.doi.org/10.20998/2078-9130.2021.1.232702.

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Of the mechanical transmissions used in mechanical engineering, the most common are gears with an involute profile of the teeth flanks. Gears made up of such wheels have a number of advantages, but they also have a number of significant disadvantages. Therefore jne of the current trends is the study of gears with a complex non-involute profile of the teeth flank which have advantages over involute gears in a number of applications, as well as the development of tools for their processing. There are two ways of gear teeth cutting: the copying method and the rolling-in method. The rolling-in met

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Máté, Márton, and Krisztina Szőcs. "Non Approximative Modelling of Involute Gear Pair Sliding." Műszaki Tudományos Közlemények, no. 21 (2024): 48–55. https://doi.org/10.33894/mtk-2024.21.07.

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One of the main problems with the operation of involute tooth gears is that during engagement, the tooth profiles slide. The point of contact is the only point where pure rolling occurs among the engaging tooth profiles. This sliding, coupled with abrupt changes in load, collectively contribute to the failure and various malfunctions of the gears. In this research, the theoretical behavior of gears during sliding is studied. Existing mathematical models are examined for describing sliding and the results analysed. Then, a precise mathematical model developed for this research is presented. In

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Ishibashi, A., and H. Yoshino. "Power Transmission Efficiencies and Friction Coefficients at Teeth of Novikov-Wildhaber and Involute Gears." Journal of Mechanisms, Transmissions, and Automation in Design 107, no. 1 (1985): 74–81. http://dx.doi.org/10.1115/1.3258698.

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New equations have been derived to calculate the power transmission efficiencies, at the meshing teeth, of two kinds of representative cylindrical gears, Novikov-Wildhaber and involute gears. The efficiencies could be calculated from the equations and the friction coefficients obtained by simple experiments with test rollers. In order to show clearly the difference in the power transmission efficiencies of the two kinds of gears, the authors designed and made two interesting gear pairs with a small number of pinion teeth (Z1 = 3) and with a high gear ratio (Z2/Z1 = 9) by applying new technique

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Li, Shanran, Shuguang Zuo, Panxue Liu, and Huan Li. "Reverse design of involute helical gear pairs considering machining errors based on IMAGEWARE and HYPERMESH." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 268, no. 2 (2023): 6613–24. http://dx.doi.org/10.3397/in_2023_0981.

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Gears inevitably contain errors during the manufacturing and installation process, which can increase the vibration and noise of the gear system. The finite element model with error can accurately solve the variation of vibration and noise and meshing characteristics of such gear systems. This paper develops a combined analytical and simulation method for involute helical gears when machining errors are included. First, the tooth profile accurate point clouds of the involute gear are derived by cutting the tooth blank with the rack and the coordinate transformation function. Subsequently, the

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Li, Wen Long, Li Wei, Hong Ying Hu, and Jian Liu. "Analysis on Characteristics of Minor Cycle Errors in Process of Grinding Involute Gears on Worm Wheel Gear Grinding Machine." Advanced Materials Research 706-708 (June 2013): 1209–12. http://dx.doi.org/10.4028/www.scientific.net/amr.706-708.1209.

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Usually, there are serious tooth-period errors in the process of grinding Involute gears on a worm wheel gear grinding machine. Being based on the process characteristics of grinding involute gears using a worm grinding wheel, radial errors and tangential errors of worm wheel gear grinding machine are analyzed. And conclusions for profile errors to be effected are given.

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Máté, Márton, and Károly-István Gál. "Effects of Profile Shifting of a Cosine Gear." Műszaki Tudományos Közlemények, no. 20 (2024): 48–53. http://dx.doi.org/10.33894/mtk-2024.20.09.

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Cosine gears are a special type of gear drive, in which the tooth profile of the theoretical generating rack is described by the cosine function. According to recent research results, the cosine gear drive has a lower slip coefficient and the contact and bending stresses supported by the teeth during the load are smaller than those occurring in involute gears. The main advantage of the cosine drive pair lies in the apparent higher rigidity of the gear tooth: this can reduce flank wear and increase gear life, especially in heavy load and highspeed applications. In contrast to involute profile g

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Lopatin, B. A., S. V. Plotnikova, and D. B. Lopatin. "Design of Gearings from Involute-Bevel Gears." Vestnik IzhGTU imeni M.T. Kalashnikova 27, no. 3 (2024): 49–61. http://dx.doi.org/10.22213/2413-1172-2024-3-49-61.

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The article presents formulas for determining the dimensions of involute-bevel gears and the gearings composed of them. It examines the most general cases of gearings formation, consisting of two involute-bevel gears with crossing axes (hyperboloid gearings), with intersecting axes (bevel gearings), and with parallel axes (cylindrical gearings). Gearings composed of involute-bevel gears have design, technological, and operational advantages compared to gearings composed of conventional cylindrical and bevel gears. The use of involute-bevel gearings with crossing axes allows for achieving the r

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Huang, Hai, Hai Xiang Li, and Qi Han Luo. "Point-Line Meshing Gear Drive." Applied Mechanics and Materials 121-126 (October 2011): 3391–95. http://dx.doi.org/10.4028/www.scientific.net/amm.121-126.3391.

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Point-line meshing gear is a new-styled gear characterized by both easy manufacturing and divisibility of involute gears and high strength for contacting between convex and concave tooth profiles of a circular-arc gear. And contact strength of point-line meshing gears has improved by 1~2 times in comparison with involute gears, and bending strength of such gears has improved by approximately 15%, while noise has decreased even by 5～10dB (A). In addition, with the increase of load, noise will decrease by 3~4 dB (A). Only a few teeth or even 2~3 teeth are required for a pinion gear. There are si

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Wang, Bai Chao, Zhao Jun Yang, Zhao Bin Hong, Jin Song Liu, and Ying Wang. "Parametric Modeling of the Tooth-Surface of Spiral Bevel Gears with Spherical Involute." Applied Mechanics and Materials 246-247 (December 2012): 772–76. http://dx.doi.org/10.4028/www.scientific.net/amm.246-247.772.

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Based on the the principle of generating line of spiral bevel gears, a new modeling method about spiral bevel gears is proposed. Mathematical pattern of spiral bevel gears with spherical involute is developed about two parameters. A kind of simulation modeling software of spiral bevel gears with spherical involute is developed in matlab-guide environment. The data of tooth-surface are collected and calculated in the simulation system according to the machining parameters of a pair of gears which are established. It is convenient to establish accurate solid models of spiral bevel gear by obtain

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Maiti, Rathindranath. "A Novel Harmonic Drive With Pure Involute Tooth Gear Pair." Journal of Mechanical Design 126, no. 1 (2004): 178–82. http://dx.doi.org/10.1115/1.1637659.

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Consider commercially available “harmonic drives” or “strain wave gearings” (all patented designs). The tooth profiles of the mating pairs of teeth of the noncircular (pitch curve) flex gear and circular (pitch circle) ring gears are nearly conjugate and noninvolute. Evidently none of them offers ideal gear kinematics. In this paper, we propose a new wave generator (or cam) to drive flex gears of harmonic drives with fully conjugate gear pairs of purely involute profiles. The cam profile is made of circular arcs at the two diametrically opposite contact zones and shifted elliptical curves for

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Kalligeros, Christos, Christos Papalexis, Dimitrios Georgiou, et al. "Improving the wear resistance of 3D printed spur gears through a free-form tooth flank optimization process." MATEC Web of Conferences 387 (2023): 01002. http://dx.doi.org/10.1051/matecconf/202338701002.

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Involute gears have traditionally been the preferred choice for gear transmission systems due to their simplicity and interchangeability. However, there are applications where they do not provide the most durable and efficient solution. While the cost of implementing optimized non-involute gears in most applications often outweighs their comparative advantages, the advent of additive manufacturing has opened up possibilities for designers to explore alternative gear tooth profiles. This is particularly relevant in the realm of plastic gears, where optimized non-involute gears produced through

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Kozik, Bogdan, Jadwiga Pisula, Mariusz Dębski, and Tomasz Dziubek. "Durability of involute gear pairs manufactured by rapid prototyping methods." Polimery 70, no. 5 (2025): 340–44. https://doi.org/10.14314/polimery.2025.5.5.

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The durability of cylindrical spur gears made of ABS and PU manufactured using the FDM (Fused deposition modeling) additive method and vacuum casting was investigated. The tests were carried out for pairs of gears with an involute profile for three values of the profile angle: 20, 25 and 30° to determine the effect of the profile angle on the gear operation time. The effect of running-in on gear durability was also assessed.

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Yang, Shyue-Cheng, and Tsang-Lang Liang. "A PLANETARY GEAR TRAIN WITH RING-INVOLUTE TOOTH." Transactions of the Canadian Society for Mechanical Engineering 32, no. 2 (2008): 251–66. http://dx.doi.org/10.1139/tcsme-2008-0016.

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This paper proposes a planetary gear train with ring-involute tooth profile. Inherent in a planetary gear train is the conjugate problem among the sun, the planet gears and the ring gear. The sun gear and the planet gear can be obtained by applying the envelope method to a one-parameter family of a conical tooth surface. The conical tooth rack cutter was presented in a previous paper [5]. The obtained planet gear then becomes the generating surface. The double envelope method can be used to obtain the envelope to the family of generating surfaces. Subsequently the profile of a ring gear of the

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Zhang, Mao Qing, Shao Ying Zhang, Wen Jun Wei, and Hai Tao Li. "Design of the Tooth Profile of a Full Conjugate Helical Gear Pump." Advanced Materials Research 566 (September 2012): 276–80. http://dx.doi.org/10.4028/www.scientific.net/amr.566.276.

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In this paper, the tooth profile of a kind of full conjugate helical gear pump was designed. The tooth profile of each of the gears is composed of three curves which are an addendum arc, an involute and a dedendum curve. The dedendum curve of one gear is the conjugate curve of the addendum arc of the other gear. The addendum arc and the dedendum curve are joined tangentially by an involute. The equations of the curves were deduced by using differential geometry. The ranges of parameters in these equations were also obtained. The meshing characteristics of the gears were analyzed. Two gears tra

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Chen, Hua, and Xin Li. "Tolerance analysis of involute spur gear from the perspective of design." Mechanics & Industry 23 (2022): 16. http://dx.doi.org/10.1051/meca/2022013.

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The existing gears’ tolerance standards are formulated from the point of view of manufacturing and measurement. Tolerance categories are numerous. What is more, they have no correlation with each other. Tolerance analysis and optimization of gear and gear set are difficult. Module, pressure angle and center distance are the most important parameters for gears. Their variations directly affect the transmission precision of gears. Through careful research of the influence of deviations of module and pressure angle, a novel method of gear tolerance analysis is proposed in this paper from the pers

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Abdullah, Mohammad Qasim, and Mansour Ali Ismael. "GENERATION AND SIMULATION OF MESHING FOR INVOLUTE HELICAL GEARS." Journal of Engineering 15, no. 2 (2009): 3743–55. http://dx.doi.org/10.31026/j.eng.2009.02.16.

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A new method for generation and simulation of meshing for involute helical gears is presented. Theapproaches proposed for generation are based on the imaginary application of two rack-cutters onefor pinion and the other for gear generation. The proposed simulation of meshing of aligned andmisaligned helical gears gives (i) the shift of the bearing contact (real contact path) on pinion andgear tooth surfaces, (ii) the function of transmission errors.

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Dahterova, Dimitrinka, and Ina Nikolova. "Improving the load capacity of cylindrical gears and transmissions by parametric optimal design with CAD/CAM systems." MATEC Web of Conferences 366 (2022): 02003. http://dx.doi.org/10.1051/matecconf/202236602003.

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Gears are an essential component of modern drives and systems. Cylindrical gears with involute profile have established themselves as one of the most widely used. Recent years have seen intensive research of both their profiling, as well as methodologies for improving their load carrying capacity. One way to increase productivity in the manufacture of cylindrical gears is the use of automated design systems. This paper presents an approach for optimal gear selection by applying the methods of parametric optimal design, modeling and study of gears with involute profile and study of their load c

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He, J., X. Wu, and Y. Cui. "Gearing principle and geometric design of conical involute gear pairs with crossed axes." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 218, no. 12 (2004): 1517–26. http://dx.doi.org/10.1243/0954406042690461.

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A group of formulae for the geometric parameters, such as the gear mounting distance, crossed-axes angle, centre distance and helix angle of the tooth projection on the reference plane of a reference rack, of a crossed-axes gear drive of different arrangements are derived based on the analysis of the spatial mesh relationship between conjugate gears and their reference rack. A set of geometrical design methods for conical involute gear pairs with crossed axes (non-intersecting and non-parallel axes) is presented. The formulae can be applied not only to all of the possible independent forms of

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Maláková, Silvia, Matej Urbanský, Gabriel Fedorko, Vieroslav Molnár, and Samuel Sivak. "Design of Geometrical Parameters and Kinematical Characteristics of a Non-circular Gear Transmission for Given Parameters." Applied Sciences 11, no. 3 (2021): 1000. http://dx.doi.org/10.3390/app11031000.

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In this paper, the authors present the design of a suitable gear transmission with the continuously changing gear ratio in the range from 0.5 through 1.0 to 2.0 and back during one revolution of intermeshing gears, according to demands specified for a practical application. The gear train was designed as a pair of identical elliptical gears and the design procedure of the suitable pitch curve (ellipse) is described. The center of rotation of each of the gears is coincident with one of the pitch ellipse foci, so the gears are placed eccentrically. The gear teeth have involute profiles, but the

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Jia, Chao, Qingtuo He, Jianming Xiao, and Hui Dong. "Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of Contact." Mathematics 10, no. 22 (2022): 4290. http://dx.doi.org/10.3390/math10224290.

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In this paper, novel non-involute cylindrical gears are designed based on a curved path of contact. Firstly, a parabolic curve is predesigned as the contact path of novel gears. Then, the tooth profiles of the novel gears are calculated using differential geometry and spatial meshing theory. Secondly, the three-dimensional tooth models of the novel non-involute gears are established according to a machining simulation. Thirdly, a simulation model (including misalignment error and longitudinal modification) is established to analyze the performance of the novel non-involute gears. Finally, an e

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Pintér, Ádám Sándor, and Ferenc Sarka. "Investigation of the involute spur gears with different pressure angles." Design of Machines and Structures 13, no. 1 (2023): 103–11. http://dx.doi.org/10.32972/dms.2023.008.

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This article deals with an investigation of the choice of the profile shift coefficient for gears when the standard pressure angles of the gears are different. The basic idea for the study arose from a real-life problem where a gear in a piece of equipment needed to be replaced. In this article, a method is presented to determine, by approximation, the value of the profile shift coefficient that we have to use on a gear having 20° pressure angle to get similar tooth profile of a gear without profile shift and 21°of pressure angle. In addition, theoretical investigations are also carried out on

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Figliolini, Giorgio, and Jorge Angeles. "Algorithms for Involute and Octoidal Bevel-Gear Generation." Journal of Mechanical Design 127, no. 4 (2004): 664–72. http://dx.doi.org/10.1115/1.1900147.

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A suitable formulation and the implementing algorithms for involute and octoidal bevel-gear generation are proposed in this paper. In particular, the exact spherical involute tooth profile of bevel gears and their crown rack is obtained through the pure-rolling motion of a great circle of the fundamental sphere on the base cone. Moreover, the tooth flank surface of octoidal bevel gears is obtained as the envelope of the tooth flat flank of the octoidal crown rack during the pure-rolling motion of its flat pitch (surface) on the pitch cone. The proposed algorithms have been implemented in MATLA

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Kahraman, A., and G. W. Blankenship. "Effect of Involute Contact Ratio on Spur Gear Dynamics." Journal of Mechanical Design 121, no. 1 (1999): 112–18. http://dx.doi.org/10.1115/1.2829411.

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The influence of involute contact ratio on the torsional vibration behavior of a spur gear pair is investigated experimentally by measuring the dynamic transmission error of several gear pairs using a specially designed gear test rig. Measured forced response curves are presented, and harmonic amplitudes of dynamic transmission error are compared above and below gear mesh resonances for both unmodified and modified gears having various involute contact ratio values. The influence of involute contact ratio on dynamic transmission error is quantified and a set of generalized, experimentally vali

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MITOME, Ken-ichi. "Conical involute gear. 5th report, Design of nonintersecting-nonparallel-axis conical involute gears." Transactions of the Japan Society of Mechanical Engineers Series C 56, no. 528 (1990): 2219–25. http://dx.doi.org/10.1299/kikaic.56.2219.

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Ismail, Mansoor Ali, and Mohammad Qasim Abdullah. "Generation and Experimental Stress Analysis of Elliptical Gears with Combined Teeth." Journal of Engineering 25, no. 10 (2019): 154–71. http://dx.doi.org/10.31026/j.eng.2019.10.11.

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In this study, generation of elliptical gears with different teeth profiles of crowned involute, double circular arc (DCA), and combined (crowned involute with DCA) has been developed. The resulting mathematical equations have been computerized and feed to CNC end mill machine to manufacture elliptical gear models with different profiles. These models are investigated in plane polariscope to show the resulting stresses under certain load. Comparison of photo-elastic stress results shows that combined elliptical gears with DCA side as a loaded side have a minimum resulting contact stress with a

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