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Journal articles on the topic 'Hypoid Gears Cutting'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Yu, Li Juan, Zhao Jun Yang, and Xu Peng Li. "Theoretical Analysis on Manufacturing Hypoid Left-Hand Gears by Generating-Line Method." Advanced Materials Research 690-693 (May 2013): 3032–35. http://dx.doi.org/10.4028/www.scientific.net/amr.690-693.3032.

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According to the hypoid gear tooth surface forming principle, a generating-line will be formed in round-plane while a cone and its tangent circle plane do pure rolling, and the hypoid gear is cutting according to the motion equation as hypoid gears generating-line. to tools shape. The milling processing equation of the hypoid left-hand gear tooth surface on the right side gear tooth surface and on the left side gear tooth surface.There are a detailed description of the adjusting-tool , cutting out from ends, dividing, cycle cutting the whole process. The above method can realizes hypoid gearwheel right tooth surface processing.

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2

Shih, Yi-Pei, Zhang-Hua Fong, and Grandle C. Y. Lin. "Mathematical Model for a Universal Face Hobbing Hypoid Gear Generator." Journal of Mechanical Design 129, no. 1 (2006): 38–47. http://dx.doi.org/10.1115/1.2359471.

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Based on the theory of gearing and differential geometry, a universal hypoid generator mathematical model for face hobbing spiral bevel and hypoid gears has been developed. This model can be used to simulate existing face hobbing processes, such as Oerlikon’s Spiroflex© and Spirac© methods, Klingelnberg’s Cyclo-Palloid© cutting system, and Gleason’s face hobbing nongenerated and generated cutting systems. The proposed model is divided into three modules: the cutter head, the imaginary generating gear, and the relative motion between the imaginary generating gear and the work gear. With such a modular arrangement, the model is suitable for development of object-oriented programming (OOP) code. In addition, it can be easily simplified to simulate face milling cutting and includes most existing flank modification features. A numerical example for simulation of the Klingelnberg Cyclo-Palloid© hypoid is presented to validate the proposed model, which can be used as a basis for developing a universal cutting simulation OOP engine for both face milling and face hobbing spiral bevel and hypoid gears.

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3

Wu, Jun-Long, Chia-Chang Liu, Chung-Biau Tsay, and Shigeyoshi Nagata. "Mathematical Model and Surface Deviation of Helipoid Gears Cut by Shaper Cutters." Journal of Mechanical Design 125, no. 2 (2003): 351–55. http://dx.doi.org/10.1115/1.1564570.

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Crossed-axis helical gears and hypoid gears are two conventional crossed-axis power transmission devices. Helipoid gears, a novel gear proposed herein, possess the merits of the crossed-axis helical and hypoid gears. A mathematical model of the proposed helipoid gear cut by shapers is also derived according to the cutting mechanism and the theory of gearing. The investigation shows that the tooth surface varies with the number of teeth of the shaper. Computer graphs of the helipoid gear are presented according to the developed gear mathematical model, and the tooth surface deviations due to the number of teeth of the shaper are also investigated.

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4

Fong, Zhang-Hua. "Mathematical Model of Universal Hypoid Generator With Supplemental Kinematic Flank Correction Motions." Journal of Mechanical Design 122, no. 1 (2000): 136–42. http://dx.doi.org/10.1115/1.533552.

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A mathematical model of universal hypoid generator is proposed to simulate virtually all primary spiral bevel and hypoid cutting methods. The proposed mathematical model simulates the face-milling, face-hobbing, plunge cutting, and bevel-worm-shaped hobbing processes with either generating or nongenerating cutting for the spiral bevel and hypoid gears. The supplemental kinematic flank correction motions, such as modified generating roll ratio, helical motion, and cutter tilt are included in the proposed mathematical model. The proposed mathematical model has more flexibility in writing computer program and appropriate for developing the object oriented computer programming. The developed computer object can be repeatedly used by various hypoid gear researchers to reduce the effort of computer coding. [S1050-0472(00)01201-0]

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5

Yang, Zhao Jun, Li Nan Li, Yan Kun Wang, and Xue Cheng Zhang. "Basic Principle and Mathematical Model of Cutting Hypoid Gears by Generating Line Method." Advanced Materials Research 154-155 (October 2010): 113–18. http://dx.doi.org/10.4028/www.scientific.net/amr.154-155.113.

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Generating line method, which is based on the generating process of spherical involute curve, is a new processing theory of cutting ideal spherical involute gears. This paper proposed the geometry and basic principle of cutting hypoid gears by this method, and defined the planar conjugated relationship between generating lines of the pinion and gear. A mathematical model of tooth surfaces is established based on cutting process. This model can be applied to any shapes and parameters of the gear generating line.

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6

Shih, Yi-Pei, and Zhang-Hua Fong. "Flank Modification Methodology for Face-Hobbing Hypoid Gears Based on Ease-Off Topography." Journal of Mechanical Design 129, no. 12 (2006): 1294–302. http://dx.doi.org/10.1115/1.2779889.

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The fundamental design of spiral bevel and hypoid gears is usually based on a local synthesis and a tooth contact analysis of the gear drive. Recently, however, several flank modification methodologies have been developed to reduce running noise and avoid edge contact in gear making, including modulation of tooth surfaces under predesigned transmission errors. This paper proposes such a flank modification methodology for face-hobbing spiral bevel and hypoid gears based on the ease-off topography of the gear drive. First, the established mathematical model of a universal face-hobbing hypoid gear generator is applied to investigate the ease-off deviations of the design parameters—including cutter parameters, machine settings, and the polynomial coefficients of the auxiliary flank modification motion. Subsequently, linear regression is used to modify the tooth flanks of a gear pair to approximate the optimum ease-off topography suggested by experience. The proposed method is then illustrated using a numerical example of a face-hobbing hypoid gear pair from Oerlikon’s Spiroflex cutting system. This proposed flank modification methodology can be used as a basis for developing a general technique of flank modification for similar types of gears.

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7

TAMURA, Hisashi, and Toshio SAKAUE. "A formate method of cutting hypoid gears. (Hypoid gears with a modified tooth surface)." Transactions of the Japan Society of Mechanical Engineers Series C 55, no. 509 (1989): 145–52. http://dx.doi.org/10.1299/kikaic.55.145.

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8

Skawiński, Piotr. "An application of neural network in recognizing of the tooth contact of spiral and hypoid bevel gears." Advanced Technologies in Mechanics 2, no. 4(5) (2016): 2. http://dx.doi.org/10.17814/atim.2015.4(5).28.

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The special computer system KONTEPS for calculation of spiral and hypoid bevel gears generally supports technology for the conventional and CNC machines (milling machines). In this system environment, the special computer application generates solid or surface models of gears by cutting simulation. Other computer application, based on Matlab functions and methods of artificial intelligence, supports the tooth contact development. The special classifiers which allow to recognize the tooth contact, select the first, second and third order of changes and support the technologist in manufacturing process. This paper describes computerized integration of design and manufacturing of the spiral and hypoid bevel gear supported by the artificial intelligence.

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9

Yang, Zhao Jun, Yan Kun Wang, Li Nan Li, and Xue Cheng Zhang. "Optimization of Substituted Generating Lines of Cutting Hypoid Gears by Generating-Line Method." Advanced Materials Research 712-715 (June 2013): 1718–23. http://dx.doi.org/10.4028/www.scientific.net/amr.712-715.1718.

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In order to make the substituted circular arc generating lines be a series easily, based on the principles of cutting hypoid gears by generating-line method and the pinion generating lines substituting method, an optimization which the objective was to make the substituted circular arc generating lines radiuses of pinion be integers or approximate integers was proposed. The feasibility of this optimization method was verified by the calculating example of a pair of hypoid gears.

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10

Kawasaki, K., and H. Tamura. "Duplex Spread Blade Method for Cutting Hypoid Gears with Modified Tooth Surface." Journal of Mechanical Design 120, no. 3 (1998): 441–47. http://dx.doi.org/10.1115/1.2829171.

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In this paper, a duplex spread blade method for cutting hypoid gears with modified tooth surface is proposed. The duplex spread blade method provides a rapid and economical manufacturing method because both the ring gear and pinion are cut by a spread blade method. In the proposed method, the nongenerated ring gear is manufactured with cutting edge that is altered from the usual straight line to a circular arc with a large radius of curvature and the circular arc cutting edge produces a modified tooth surface. The pinion is generated by a cutter with straight cutting edges as usual. The main procedure of this method is the determination of the cutter specifications and machine settings. The proposed method was validated by gear manufacture.

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11

TAKAHASHI, Koichi, Norio ITO, and Toshinori SAKIDA. "A study on precision tooth cutting of hypoid gears. 1st report The gear cutting." Transactions of the Japan Society of Mechanical Engineers Series C 51, no. 468 (1985): 2074–82. http://dx.doi.org/10.1299/kikaic.51.2074.

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12

KAWASAKI, Kazumasa, and Hisashi TAMURA. "Method for Cutting Hypoid Gears. (Duplex Spread-Blade Method)." JSME International Journal Series C 40, no. 4 (1997): 768–75. http://dx.doi.org/10.1299/jsmec.40.768.

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13

KAWASAKI, Kazumasa, and Hisashi TAMURA. "Method for Cutting Hypoid Gears. Duplex Spread-Blade Method." Transactions of the Japan Society of Mechanical Engineers Series C 62, no. 604 (1996): 4644–50. http://dx.doi.org/10.1299/kikaic.62.4644.

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14

HONMA, Akira, and Sumio HIROKAWA. "A Study on a Gear-Cutting Method for Parallel-Depth Hypoid Gears. 1st Report; Gear-Cutting Theory." Transactions of the Japan Society of Mechanical Engineers Series C 57, no. 542 (1991): 3326–32. http://dx.doi.org/10.1299/kikaic.57.3326.

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15

Kawasaki, Kazumasa, and Hisashi Tamura. "A Method for Cutting Hypoid Gears(Determination of Machine Settings)." Transactions of the Japan Society of Mechanical Engineers Series C 59, no. 564 (1993): 2544–51. http://dx.doi.org/10.1299/kikaic.59.2544.

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16

Il’in, N. M. "Simulation of the cutting of conical and hypoid gears in roughing." Russian Engineering Research 28, no. 7 (2008): 717–19. http://dx.doi.org/10.3103/s1068798x08070198.

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17

HIROKAWA, Sumio, Akira HONMA, and Akira YAMAMOTO. "Gear-Cutting Method of Parallel Depth Hypoid Gears. 3rd Report. The Ellipse of Tooth Bearing and Some Gear-Cuttings." Transactions of the Japan Society of Mechanical Engineers Series C 69, no. 678 (2003): 459–63. http://dx.doi.org/10.1299/kikaic.69.459.

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18

HAYATA, Atsushi, Masaki SUGIMOTO, and Yoshitomo SUZUKI. "GM-01 A STUDY ON A HIGH-SPEED DRY CUTTING METHOD FOR FACE-HOBBED HYPOID GEARS(MANUFACTURING OF GEARS)." Proceedings of the JSME international conference on motion and power transmissions 2009 (2009): 103–8. http://dx.doi.org/10.1299/jsmeimpt.2009.103.

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19

Honma, Akira, Sumio Hirokawa, and Akira Yamamoto. "Gear-Cutting Method of Parallel Depth Hypoid Gears. 2nd Report. Trace of Contact Point Mark." Transactions of the Japan Society of Mechanical Engineers Series C 61, no. 586 (1995): 2573–79. http://dx.doi.org/10.1299/kikaic.61.2573.

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20

Kalashnikov, A. S., P. A. Kalashnikov, and N. V. Khomyakova. "Cutting-head optimization to improve the reliability of conical and hypoid gears." Russian Engineering Research 37, no. 7 (2017): 603–7. http://dx.doi.org/10.3103/s1068798x17070140.

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21

HIROKAWA, Sumio, Masako TUCHIDA, Akira HONMA, and Hiroyuki SAKURAI. "200 A study on Gear-Cutting Method of Parallel Depth Hypoid Gears : 4th Report, Gear-Cutting Method by Ball End Mill." Proceedings of Conference of Tohoku Branch 2007.42 (2007): 197–98. http://dx.doi.org/10.1299/jsmeth.2007.42.197.

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22

MUELLER, Hartmuth, and Heinz EDER. "GM-16 CLOSED LOOP TECHNOLOGY FOR DRY CUTTING OF SPIRAL BEVEL AND HYPOID GEARS(GEAR MANUFACTURING)." Proceedings of the JSME international conference on motion and power transmissions I.01.202 (2001): 393–97. http://dx.doi.org/10.1299/jsmeimpt.i.01.202.393.

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23

HANEDA, Yoshitomo, Kazumasa KAWASAKI, and Hisashi TAMURA. "Method for Cutting Hypoid Gears Using Quasi-Basic Member. Determination of Machine Settings." Transactions of the Japan Society of Mechanical Engineers Series C 65, no. 634 (1999): 2494–501. http://dx.doi.org/10.1299/kikaic.65.2494.

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24

Fan, Qi. "Computerized Modeling and Simulation of Spiral Bevel and Hypoid Gears Manufactured by Gleason Face Hobbing Process." Journal of Mechanical Design 128, no. 6 (2005): 1315–27. http://dx.doi.org/10.1115/1.2337316.

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The Gleason face hobbing process has been widely applied by the gear industry. But so far, few papers have been found regarding exact modeling and simulation of the tooth surface generations and tooth contact analysis (TCA) of face hobbed spiral bevel and hypoid gear sets. This paper presents the generalized theory of the face hobbing generation method, mathematic models of tooth surface generations, and the simulation of meshing of face hobbed spiral bevel and hypoid gears. The face hobbing indexing motion is described and visualized. A generalized description of the cutting blades is introduced by considering four sections of the blade edge geometry. A kinematical model is developed and analyzed by breaking down the machine tool settings and the relative motions of the machine elemental units and applying coordinate transformations of the elemental motions. The developed face hobbing generation model is directly related to a physical bevel gear generator. A generalized and enhanced TCA algorithm is proposed. The face hobbing process has two categories, non-generated (Formate®) and generated methods, applied to the tooth surface generation of the gear. In both categories, the pinion is always finished with the generated method. The developed tooth surface generation model covers both categories with left-hand and right-hand members. Based upon the developed theory, an advanced tooth surface generation and TCA program is developed and integrated into Gleason CAGE™for Windows Software. Two numerical examples are provided to illustrate the implementation of the developed mathematic models.

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25

Litvin, F. L., Y. Zhang, M. Lundy, and C. Heine. "Determination of Settings of a Tilted Head Cutter for Generation of Hypoid and Spiral Bevel Gears." Journal of Mechanisms, Transmissions, and Automation in Design 110, no. 4 (1988): 495–500. http://dx.doi.org/10.1115/1.3258950.

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Kinematics of mechanisms of hypoid and spiral bevel cutting machines is considered. These mechanisms are designated to install the position and tilt of the head cutter. The tilt of the head cutter with standard blades provides the required pressure angle. The authors have developed the matrix presentation of kinematics of these mechanisms and basic equations for the required settings. An example is presented based on the developed computation procedure.

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26

HIROKAWA, Sumio, Akira HONMA, and Masako TUCHIDA. "165 A study on Gear-Cutting Method of Parallel Depth Hypoid Gears : 5th Report, Gear-Cutting method by Ball End Mill (2)." Proceedings of Conference of Tohoku Branch 2008.43 (2008): 131–32. http://dx.doi.org/10.1299/jsmeth.2008.43.131.

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27

HIROKAWA, Sumio, Akira HONMA, and Akira YAMAMOTO. "A Study on Gear-Cutting Method of Parallel Depth Hypoid Gears : 4th Report, The Ellipse of Tooth Bearing and Some Gear-Cuttings." Proceedings of Conference of Tohoku Branch 2002.37 (2002): 120–21. http://dx.doi.org/10.1299/jsmeth.2002.37.120.

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28

Li, Linan. "Cutting Geometry and Base-Cone Parameters of Manufacturing Hypoid Gears by Generating-Line Method." Open Mechanical Engineering Journal 5, no. 1 (2011): 19–25. http://dx.doi.org/10.2174/1874155x01105010019.

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29

Kato, Shogo, and Aizo Kubo. "Proper Setting of Form-Cutting Machine of Hypoid Gears using Measured Tooth Flank Form." Transactions of the Japan Society of Mechanical Engineers Series C 59, no. 563 (1993): 2245–50. http://dx.doi.org/10.1299/kikaic.59.2245.

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30

Kawasaki, Kazumasa, and Hisashi Tamura. "Heat-Treatment Distortion of Hypoid Gears. Detection of Heat-Treatment Distortion and Proposal of Corrective Gear Cutting Method." Transactions of the Japan Society of Mechanical Engineers Series C 61, no. 584 (1995): 1685–90. http://dx.doi.org/10.1299/kikaic.61.1685.

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31

YANG, Rongsong, Hiroyuki KUMEHARA, and Kikuo NEZU. "A Study on the Adjustment for Cutting of Hypoid Gears by a Modified Roll Method." Journal of the Japan Society for Precision Engineering 67, no. 5 (2001): 802–7. http://dx.doi.org/10.2493/jjspe.67.802.

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32

Wasif, Muhammad, and Zezhong C. Chen. "An accurate approach to determine the cutting system for the face milling of hypoid gears." International Journal of Advanced Manufacturing Technology 84, no. 9-12 (2015): 1873–88. http://dx.doi.org/10.1007/s00170-015-7823-6.

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33

Lee, Yi Hui, Shih Syun Lin, and Yi Pei Shih. "Probe Position Planning for Measuring Cylindrical Gears on a Four-Axis CNC Machine." Advanced Materials Research 579 (October 2012): 297–311. http://dx.doi.org/10.4028/www.scientific.net/amr.579.297.

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During large-size gear manufacturing by form grinding, the actual tooth surfaces will differ from the theoretical tooth surface because of errors in the clamping fixture and machine axes and machining deflection. Therefore, to improve gear precision, the gear tooth deviations should be measured first and the flank correction implemented based on these deviations. To address the difficulty in large-size gear transit, we develop an on-machine scanning measurement for cylindrical gears on the five-axis CNC gear profile grinding machine that can measure the gear tooth deviations on the machine immediately after grinding, but only four axes are needed for the measurement. Our results can serve as a foundation for follow-up research on closed-loop flank correction technology. This measuring process, which is based on the AGMA standards, includes the (1) profile deviation, (2) helix deviation, (3) pitch deviation, and (4) flank topographic deviation. The mathematical models for measuring probe positioning are derived using the base circle method. We also calculate measuring positions that can serve as a basis for programming the NC codes of the measuring process. Finally, instead of the gear profile grinding machine, we used the six-axis CNC hypoid gear cutting machine for measuring experiments to verify the proposed mathematical models, and the experimental result was compared with Klingelnberg P40 gear measuring center.

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34

TAKAHASHI, Koichi, Norio ITO, and Toshinori SAKIDA. "A study on precision tooth cutting of hypoid gears. 2nd report Generation of pinion tooth surface." Transactions of the Japan Society of Mechanical Engineers Series C 51, no. 468 (1985): 2083–91. http://dx.doi.org/10.1299/kikaic.51.2083.

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35

TAMURA, Hisashi, Kazumasa KAWASAKI, and Yoshitomo HANEDA. "Method for Cutting Hypoid Gears Using Quasi-Basic Member. Quasi-Basic Member and Its Basic Dimensions." Transactions of the Japan Society of Mechanical Engineers Series C 65, no. 632 (1999): 1642–48. http://dx.doi.org/10.1299/kikaic.65.1642.

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36

ZHANG, Yu. "Cutting Principle and Tooth Contact Analysis of Spiral Bevel and Hypoid Gears Generated by Duplex Helical Method." Journal of Mechanical Engineering 51, no. 21 (2015): 15. http://dx.doi.org/10.3901/jme.2015.21.015.

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37

SHIRAISHI, Shinichi, Takashi KUSAKA, and Takashi MATSUMURA. "0606 Cutting Force Prediction in Hypoid Gear Machining." Proceedings of International Conference on Leading Edge Manufacturing in 21st century : LEM21 2015.8 (2015): _0606–1_—_0606–6_. http://dx.doi.org/10.1299/jsmelem.2015.8._0606-1_.

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38

Liu, Gan Hua, Hong Zhi Yan, and Jun Jie Zhang. "Optimization of Cutting/Tool Parameters for Dry High-Speed Spiral Bevel and Hypoid Gear Cutting with Cutting Simulation Experiment." Advanced Materials Research 472-475 (February 2012): 2088–95. http://dx.doi.org/10.4028/www.scientific.net/amr.472-475.2088.

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Tool life and the rationality of cutting parameter setting are evaluated directly by cutting force. In order to predict cutting force, and then to optimize the tooth cutting condition for dry high-speed spiral bevel and hypoid gear cutting, this study has established a 2D cutting FEM simulation platform by using DEFORM-2D based on the 2D orthogonal slot milling experiment. Through the platform, using the method of combining single-factor experiment and multi-factor orthogonal experiment, this study has explored the influence of cutting/tool parameters on cutting force in the dry high-speed cutting process of 20CrMnTi spiral bevel and hypoid gear (face hobbing dry cutting process). The results show that from high degree to low degree, the influence of each parameter on cutting force is as follows: feed > cutting speed > relief angle(P.A.side) >blade rake angle, and the influence of the first three parameters is significant, the influence of blade rake angle is not significant; the optimized condition for dry high-speed spiral bevel and hypoid gear cutting is suggested to be: the cutting speed is 300 m/mim, the feed is 0.06 mm/r, the blade rake angle is 14° and the relief angle(P.A.side) is 10°; the cutting edge can be honed moderately, but the hone radius is not bigger than 0.1 mm.

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39

SHIRAISHI, Shinichi, Takashi KUSAKA, and Takashi MATSUMURA. "Cutting force prediction in hypoid gear machining." Journal of Advanced Mechanical Design, Systems, and Manufacturing 10, no. 5 (2016): JAMDSM0082. http://dx.doi.org/10.1299/jamdsm.2016jamdsm0082.

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40

MICHIWAKI, Hirokazu, Kazumasa KAWASAKI, Hisashi TAMURA, and Takehiro UMEKI. "Estimate of Machine Settings in Hypoid Gear Cutting." Transactions of the Japan Society of Mechanical Engineers Series C 64, no. 627 (1998): 4388–94. http://dx.doi.org/10.1299/kikaic.64.4388.

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41

Ito, Norio, and Koichi Takahashi. "Equi-Depth Tooth Hypoid Gear Using Formate Gear Cutting Method. (1st Report. Basic Dimensions for Gear Cutting)." Transactions of the Japan Society of Mechanical Engineers Series C 61, no. 582 (1995): 373–79. http://dx.doi.org/10.1299/kikaic.61.373.

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42

Gosselin, C., T. Nonaka, Y. Shiono, A. Kubo, and T. Tatsuno. "Identification of the Machine Settings of Real Hypoid Gear Tooth Surfaces." Journal of Mechanical Design 120, no. 3 (1998): 429–40. http://dx.doi.org/10.1115/1.2829170.

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In the spiral bevel and hypoid gear manufacturing industry, master gear sets are usually developed from initial machine settings obtained from computer software or instruction sheets. These initial machine settings are then modified until a satisfactory bearing pattern is obtained, a process called bearing pattern development. Once a satisfactory bearing pattern is obtained, manufacturing errors and heat treatment distorsions can be accounted for by proportionally changing the machine settings according to the results of a V-H test in which the pinion vertical and horizontal positions are modified until the bearing pattern is acceptable. Once a satisfactory combination of master pinion and gear is obtained, their actual tooth surfaces usually do not correspond to those of the initial theoretical model, and the theoretical pinion and gear surface definitions are unknown. This paper presents a computer algorithm used to identify the machine settings producing a theoretical tooth surface closest to that of a measured surface, what the authors call Surface Match, in order to effectively simulate the kinematical behavior of real gear teeth. The approach is applicable to both 1st and 2nd order surface errors, including profile deviation, for any cutting process. However, given the availability of experimental data for the Fixed Setting™, Formate™ and Helixform™ cutting processes, the examples presented in the paper are related to these cutting processes.

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43

ITO, Norio, Koichi TAKAHASHI, and Shinobu TOYAMA. "Design of Angular Hypoid Gear. 2nd Report. Gear Cutting and Design Dimensions." Transactions of the Japan Society of Mechanical Engineers Series C 57, no. 544 (1991): 3941–46. http://dx.doi.org/10.1299/kikaic.57.3941.

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44

KAWASAKI, Kazumasa, Hirokazu MICHIWAKI, and Hisashi TAMURA. "507 Estimation of Machine Settings in Helixform Hypoid Gear Cutting." Proceedings of Conference of Hokuriku-Shinetsu Branch 2000.37 (2000): 173–74. http://dx.doi.org/10.1299/jsmehs.2000.37.173.

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45

Kawasaki, Kazumasa, and Hisashi Tamura. "A Method for Detection of Errors in Hypoid Gear Cutting." Transactions of the Japan Society of Mechanical Engineers Series C 59, no. 567 (1993): 3513–19. http://dx.doi.org/10.1299/kikaic.59.3513.

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46

SU, Zhijian. "Manufacture of hypoid gear based on computer numerical control cutting machine." Chinese Journal of Mechanical Engineering 43, no. 05 (2007): 57. http://dx.doi.org/10.3901/jme.2007.05.057.

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47

Chen, Szu-Hung, and Zhang-Hua Fong. "Study on the cutting time of the hypoid gear tooth flank." Mechanism and Machine Theory 84 (February 2015): 113–24. http://dx.doi.org/10.1016/j.mechmachtheory.2014.01.012.

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48

Ito, Norio, and Kazuhiro Nomura. "Equi-Depth Tooth Hypoid Gear Using Formate Gear Cutting Method. (2nd Report. Cutting Conditions and Tooth Bearing Pattern)." Transactions of the Japan Society of Mechanical Engineers Series C 61, no. 582 (1995): 380–85. http://dx.doi.org/10.1299/kikaic.61.380.

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49

MICHIWAKI, Hirokazu, Hisashi TAMURA, and Kazumasa KAWASAKI. "GM-14 ESTIMATION OF REAL MACHINE SETTING ON HELIXFORM HYPOID GEAR CUTTING(GEAR MANUFACTURING)." Proceedings of the JSME international conference on motion and power transmissions I.01.202 (2001): 381–86. http://dx.doi.org/10.1299/jsmeimpt.i.01.202.381.

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MORIWAKI, Ichiro, and Akihiro YAMAMOTO. "5140 Determination of Hypoid Gear Cutting Machine Set-up using Artificial Intelligence." Proceedings of the JSME annual meeting 2006.4 (2006): 225–26. http://dx.doi.org/10.1299/jsmemecjo.2006.4.0_225.

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