Relevant bibliographies by topics / Gears shaping

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Gears shaping'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Gears shaping"

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Wang, Bao Ming, Xue Song Mei, Zai Xin Wu, and Chi Bing Hu. "Tooth-Leap Shaping Method for Helical Gears." Applied Mechanics and Materials 217-219 (November 2012): 1769–73. http://dx.doi.org/10.4028/www.scientific.net/amm.217-219.1769.

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In order to reduce cyclic variation in rotational speed of generated gears or shaper cutter induced by additional rotation during shaping, tooth-leap shaping method for helical gears was proposed. Based on fundamentals of helical gears shaping kinematics, principle of tooth-leap shaping for helical gears was introduced. Furthermore, mathematic models of tooth-leap shaping motions for helical gears are established. Finally, several examples are calculated, results show that cyclic variation in rotational speed of generated helical gear can be reduced largely by tooth-leap shaping method compari
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Liu, Youyu. "Study of optimal strategy and linkage-model for external non-circular helical gears shaping." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229, no. 3 (2014): 493–504. http://dx.doi.org/10.1177/0954406214536700.

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As an efficient manufacturing method for gears, shaping technology developed for non-circular helical gears will greatly break through the dilemma of their applications; especially for those gears with part of pitch curves being concave, being not able to be hobbed. Two fundamental linkage-models for external non-circular helical gears were built based on the meshing theory of non-circular gears in this article. According to four linkage methods in plane and two kinds of additional rotation in vertical direction, eight shaping strategies and their practical linkage-models (1)–(8) were develope
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Wojtko, Kamil, and Piotr Frąckowiak. "Modeling the process of shaping worm gears of spiroid gear." Mechanik 91, no. 1 (2018): 24–27. http://dx.doi.org/10.17814/mechanik.2018.1.3.

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The article presents various methods of shaping cylindrical spiroid worm gear of asymmetrical outline using two tools. Cutting thread of worm gears is made on CNC lathes with blades in the form of universal inserts. Shows the geometric model and technological machining cylindrical worm gear spiroid on a CNC lathe. The correctness of the test results obtained in numerical developed program was tested through experimental studies of the process of cutting worm gears given parameters. Cutting process of worm gears was made on a lathe CTX210 using overlay ShopTurn in module for threading. The proc
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Ryazanov, S., and M. Reshetnikov. "Calculation of the coordinates of the modified profile of the generating surface of the gear cutting tool." Geometry & Graphics 8, no. 4 (2021): 35–46. http://dx.doi.org/10.12737/2308-4898-2021-8-4-35-46.

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Spatial helical gears, worm gears with a cylindrical worm, globoid gears, etc., are widely used in most of modern engineering products [1-3; 37; 42]. Cylindrical worm gears are actively used in the creation of metalworking equipment (push mechanisms of rolling mills, presses, etc.), in lifting and transport machines, in drives and kinematic chains of various machine tool equipment where high kinematic accuracy is required (dividing machine tools, adjustment mechanisms), etc.
 In a worm gear a cylindrical worm or its cylindrical helical surface can be cut by various technological methods [
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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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Li, Linqing, Lianhong Zhang, Bing Yu, Kaifeng Wang, and Fucong Liu. "An efficient spur gear shaping method based on homogenizing cutting area through variational circular feed rate." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 231, no. 9 (2015): 1587–98. http://dx.doi.org/10.1177/0954405415601639.

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Gear shaping is a widely applied technology to produce spur gears. Generally, the pinion cutter and the gear workpiece rotate uniformly with a given gear ratio during the conventional gear shaping process, which can cause a large variation of the cutting area per stroke in cutting tooth spaces. It makes the cutting force less than the rated capacity of the gear shaper in most cutting strokes and thus reduces the process efficiency. To overcome such a shortage, a new spur gear shaping method is proposed in this article, in which the cutting area per stroke is homogenized to a target value throu
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Yang, Shao Rong, and Yun Feng Lu. "Study on Cold Extrusion Technology of 20Cr Bevel Gears." Advanced Materials Research 548 (July 2012): 586–90. http://dx.doi.org/10.4028/www.scientific.net/amr.548.586.

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In this paper we present the cold extrusion shaping technology of 20Cr bevel gears. First, we analyzed a series of processing and treatment referring to bevel gear cold extrusion technology and calculated the cold extrusion pressures used for mold design; then, we designed and cold extruded two- or three-ring composite cold extrusion dies with its precise guiding device; and last, we experimentally tested our designed and extruded bevel gear. The results showed that 20Cr bevel gears shaped with cold extrusion have qualified properties and satisfy application requirements within the required er
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Xia, Lian, Da Zhu Li, and Jiang Han. "Research on Mathematical Modeling and Kinematic Simulation of Elliptic Family Gears." Key Engineering Materials 579-580 (September 2013): 300–304. http://dx.doi.org/10.4028/www.scientific.net/kem.579-580.300.

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Elliptic family gears are commonly used in non-circular gears, which include elliptic gear, high-order gear, elliptic deformed gear and high-order deformed gear, thereinto high-order deformed gear can include the elliptic family gears through adjust its order and deformed coefficient. Because non-circular gear has different tooth profile in different position of pitch curve and there is difference in the left and right tooth profile of the same gear tooth, thus the CAD modeling of non-circular gear is difficult for these characteristics; but the precise model of non-circular gear has important
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Tarapanov, A., R. Anisimov, N. Kanatnikov, and A. Pilipenko. "Improving Efficiency of Gear Shaping of Wheels with Internal Non-involute Gears." IOP Conference Series: Materials Science and Engineering 127 (April 2016): 012052. http://dx.doi.org/10.1088/1757-899x/127/1/012052.

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Yazhou, Wang, Xiao Junfeng, Liu Yongping, and An Jianmin. "Choice of Noncircular Gears Hobbing Linkage Methods." Recent Patents on Engineering 13, no. 1 (2019): 69–74. http://dx.doi.org/10.2174/1872212112666180815121314.

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Background: Various relevant patents and papers which have reported noncircular gears synthesize the advantages of circular gears and cam mechanisms, and are widely used in many types of mechanical instruments. Hobbing is a better method for fabricating noncircular gears. There are 4 linkagemethods to hob noncircular gears. However, which linkage method should be chosen practically has not yet been reported. Objective: The goal of this work is to choose the best linkage method for hobbing noncircular gears. Method: Firstly, the hobbing models of noncircular gears was deduced. Then, based on th
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Dissertations / Theses on the topic "Gears shaping"

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Pavlík, Martin. "Vývoj agregátu obráběcího centra umožňující výrobu přímého a šikmého ozubení odvalovacím způsobem." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2019. http://www.nusl.cz/ntk/nusl-393990.

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The diploma thesis shows design of the aggregate, which allow the machining center to shape gears with Fellows Method. The principle of this unit is to convert the rotation movement of the spindle to the translational movement while adding the rolling tool movement. At the same time, the mechanism ensures a constant cutting speed. The unit is divided into 5 sub-mechanisms. For each of the mechanisms, the most appropriate option is choose with help of analysis of usable methods. The most appropriate method is then designed and possibly calculated. The thesis describes the design of such a solut
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Hoffmann, Jiří. "Návrh na zefektivnění procesu obrábění vnitřního ozubení." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2019. http://www.nusl.cz/ntk/nusl-399293.

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The subject of this study is a proposal to streamline the production process of gear with internal gear. At the beginning of the thesis are described some types of gearing. The second chapter is focused on the analysis of manufactured part and workplaces for production. The third chapter contains description of technological methods of gearing production by conventional and unconventional methods. The main point of this work is a proposal of innovation of the production process of gearing production. In conclusion, technical-economic evaluation including a comparison of existing and newly desi
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Lin, Hao-Wen, and 林豪文. "Shaping Simulation and Stress Analysis of Internal Helical Gears with Crowned Teeth." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/62679415032313278554.

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碩士<br>清雲科技大學<br>機械工程所<br>99<br>In the study, the shaping simulation of internal helical gears with crowned teeth is analyzed firstly. The shaper cutter and the generated gear are set up with non-parallel axes to achieve the tooth crowning effect. Applying visual basic and SolidWorks API, the gear shaping process can be simulated, and the 3D models of internal helical gears with crowned teeth can thus be obtained. Then, the contact patterns are simulated, and the contact stresses are analysed by commercial FEA package. The results of contact pattern simulation and stress analysis can be verifie
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莊曄. "Study on Parameters of Gear Shaping." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/89413566196233952910.

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碩士<br>國立中正大學<br>機械系<br>92<br>Gear shaving, shaping and hobbing are major gear production methods. Gear shaping is an efficient and adaptive gear production method that can be used to cut all kinds of the cylindrical gears. Shaping can be used to cut gears that can’t be easily cut by hobbing, such as the stacked gear shaft and the internal gears. Most researches about gear shaping focus on the theoretical tooth profile of the shaper, but the tooth profile of a real shaper is quite different from a theoretical shaper. The
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Chiou, Shu-Wen, and 邱述文. "The Development of Simulation System of Gear Shaping by CAD-API." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/05126923975270013831.

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碩士<br>清雲科技大學<br>機械工程研究所<br>96<br>In the study, simulation system of gear shaping is developed by visual basic and SolidWorks API. Three-dimensional CAD models of spur gear, internal gear, conical gear, and conical internal gear can be generated in CAD environment with proper relative motion relationship between shaper and gear blank. The error detection function of generated gear tooth profile is also built in this system. This system can provide proper parameters before gear shaping process. Furthermore, the CAD models generated by this system can also provide the bases for upcoming resear
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Белянцева, И. В., та I. V. Belyantseva. "Разработка принципов построения схем зубофрезерного станка с безгитарным приводом : магистерская диссертация". Master's thesis, 2017. http://hdl.handle.net/10995/48444.

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Relevance of this research is conditioned by necessity of increasingmetalworking machines efficiency in modern machinery building. One of the main constructive elements of gear milling machines is mechanical gear train (speed gear train, feed gear train, dividing gear train, differential gear train). The adjustment of all these shaping moves is important objective. Though mechanical gear trains do not provide high tooling precision.That’s why precision can be increased by developing ways of replacing mechanical gear trains by hydraulic and electronic analogs. These ways were poorly considered
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Books on the topic "Gears shaping"

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Hanson, Harry. Get your rear in gear: Firming, toning, and shaping your butt. HarperPerennial, 1996.

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Endoy, Robert. Gear hobbing, shaping, and shaving: A guide to cycle time estimating and process planning. Society of Manufacturing Engineers, Publication Development Department, 1990.

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Chakrabarti, Rajesh, and Kaushiki Sanyal. Shaping Policy in India. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199475537.001.0001.

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How effective is the Indian polity in making laws and policies to address changing ground realities? How do its gears work? Which stakeholder groups are more successful in bringing about policy change, through what methods, and in what contexts? Seeking to answer these questions, Shaping Policy in India takes a close look at nine landmark Indian laws and legislative attempts to reveal the socio-political process of policy formulation in the world’s largest democracy. Offering in-depth accounts of the evolution of these nine major legislations, this book interrogates the suitability of existing
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Patrick, Tsay Chung-Biau, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., eds. Helical gears with circular arc teeth: Generation geometry, precision and adjustment to errors, computer aided simulation of conditions of meshing, and bearing contact. National Aeronautics and Space Administration, Scientific and Technical Information Division, 1987.

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Levinson, Robin K., and Harry Hanson. Get Your Rear in Gear: Firming, Toning, and Shaping Your Butt. Harper Perennial, 1997.

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Levinson, Robin K., and Harry Hanson. Get Your Rear in Gear: Firming, Toning, and Shaping Your Butt. Harper Perennial, 1997.

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Book chapters on the topic "Gears shaping"

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Storchak, Michael. "Simulation of the Teeth Profile Shaping During the Finishing of Gears." In New Approaches to Gear Design and Production. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34945-5_16.

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Korotun, Mykola, Yuliia Denysenko, Olaf Ciszak, and Oleksandr Ivchenko. "Improvement of the Gear Shaping Effectiveness for Bimetal Gears of Internal Gearing with a Friction Coating." In Lecture Notes in Mechanical Engineering. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77719-7_44.

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Krivosheya, A., Ju Danilchenko, M. Storchak, and S. Pasternak. "Design of Shaping Machine and Tooling Systems for Gear Manufacturing." In Theory and Practice of Gearing and Transmissions. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19740-1_21.

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Li, Bo, Jun He, Dingfang Chen, Fangyan Zheng, Botao Li, and Hongxiang Zhang. "A Linkage Model of Non-circular Gear Shaping and Computer Simulation Processing." In Human Centered Computing. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31854-7_19.

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Ryazanov, Sergey, and Mikhail Reshetnikov. "Development of a Computer Simulation Model for Shaping the Working Surface of a Worm Wheel with a Gear Cutting Tool with Modified Producing Surface." In Recent Research in Control Engineering and Decision Making. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-65283-8_25.

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Gutsalenko, Yuriy, and Tetyana Tretyak. "FORMATION OF WORKING SURFACES AND RESEARCH OF QUALITATIVE INDICATORS OF NON-EVOLVENT GEARS (REVIEW AND PROSPECTS OF DEVELOPMENT)." In Integration of traditional and innovation processes of development of modern science. Publishing House “Baltija Publishing”, 2020. http://dx.doi.org/10.30525/978-9934-26-021-6-35.

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From the standpoint of the development of possibilities of application in theory and practice, the works of Prof. B. A. Perepelitsa from Kharkov Polytechnic Institute and his disciples to develop an applied methodology of multiparameter mappings in relation to the profiling and functioning of complex curvilinear objects and transmission mechanisms in mechanical engineering, mainly with examples of gears, are presented. The work substantiates the relevance of the study of gears with a complex non-involute profile of the side surfaces of the teeth, which in some applications have advantages over involute gears and are devoid of some of their drawbacks associated with quality indicators. A technique for obtaining mating surfaces of the teeth of non-invasive gears as envelopes of the specified surfaces of the teeth of tools is described. A scheme for forming pairs of non-involute gears, from which a gearing can be composed, is proposed. At the same time, diamond-abrasive tools are considered as shaping the working gear profile in its cutting according to the copying scheme and finishing according to the rolling honing scheme. In the first case, the profile of a special shaped tool on a high-strength metal bond is supported by a master electrode according to the scheme of the anodic connection of the tool into the electric circuit of dressing, similar to diamond spark grinding. In the second case, the use of gear wheels-hones on elastic ligaments is shown. It is shown that to obtain the mating surfaces of the teeth of two non-involute gears, two tool rails can be used with the profiles of the side surfaces of the teeth opposite to each other. As a nonlinear profile of the tooth lateral surface of the tool rail, some part of one of the simulated flat kinematic curves is considered. A description of the program developed in accordance with the described method is given, which allows you to calculate the geometric characteristics of the shaped profiles of the gear pair wheels, visualize the shaping process, and also determine the quality indicators of the gearing. Thus, the prerequisites were created for choosing from the resulting geometric modeling of the curve field of such tooth profiles of the tools, which would provide the most rational combination of the tooth profiles of the gears processed by them and the required quality parameters of the gear teeth. The results of the study of the pressure ratio between the teeth of a gear and the overlap ratio of gears when choosing the shape of the tooth profiles are presented. A series of numerical experiments for gearing, formed by pairs of tool rails with different profiles of the side surfaces of the teeth straight, convex and concave, as well as convex-concave were performed. It is shown that non-involute gearing can have large reduced radii of curvature (and consequently smaller pressure coefficients) at the points of tangency of the profiles compared to involute gearing with a slight increase or decrease in the gearing overlap ratio. The most preferable is the variant of the rails with convex and concave tooth profiles, which provides the best values of both quality indicators of the engagement.
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"Gear Shaping." In Encyclopedia of Tribology. Springer US, 2013. http://dx.doi.org/10.1007/978-0-387-92897-5_100596.

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Janssens, Jürgen. "Managing and Shaping Change in International Projects." In Managerial Competencies for Multinational Businesses. IGI Global, 2019. http://dx.doi.org/10.4018/978-1-5225-5781-4.ch008.

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Companies are either international by nature, either their workforce is, or business dynamics and agile optimization create an extended web making it international. This obliges managers to gear up for the needs of this evolving DNA. This is especially the case in strategy critical project portfolio contexts focusing on organizational change, process transformation, or roll-out of headquarter-driven products/services. This chapter will address the required hard and soft assets: integrating the cultural essence and maturity of the ecosystem, combining experience with a pragmatic approach, and being dedicated to continuous shaping of collaborations. Additional focus will be set on managing in the digital age. To give more depth to the tangible value, different real-life cases will be integrated. Together, the theoretical insights and the empirical examples will offer a big picture view that will benefit the management of hybrid portfolios in geographically blended environments.
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Janssens, Jürgen. "Managing and Shaping Change in International Projects." In Research Anthology on Digital Transformation, Organizational Change, and the Impact of Remote Work. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-7297-9.ch060.

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Companies are either international by nature, either their workforce is, or business dynamics and agile optimization create an extended web making it international. This obliges managers to gear up for the needs of this evolving DNA. This is especially the case in strategy critical project portfolio contexts focusing on organizational change, process transformation, or roll-out of headquarter-driven products/services. This chapter will address the required hard and soft assets: integrating the cultural essence and maturity of the ecosystem, combining experience with a pragmatic approach, and being dedicated to continuous shaping of collaborations. Additional focus will be set on managing in the digital age. To give more depth to the tangible value, different real-life cases will be integrated. Together, the theoretical insights and the empirical examples will offer a big picture view that will benefit the management of hybrid portfolios in geographically blended environments.
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Conference papers on the topic "Gears shaping"

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Sankaranarayanasamy, K., and M. S. Shunmugam. "Limiting Conditions in Gear Shaping With Allowance for Trimming." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0053.

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Abstract Gear shaping process is a generation process by which precision gears can be produced. In some cases, because of the generation motions, interference conditions exist in the process. These interferences may introduce preferable conditions on the gears produced, in a few cases. Such limiting conditions are presented here, after allowing for the trimming of the profile due to these interferences.
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Pop, Petru A., Gheorghe Bejinaru-Mihoc, and Ioan Olaru. "Stiffness Analysis of Gear Shaping Machine in Radial Direction With Gear Wheel-Cutter." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-12635.

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The machining of cylindrical gears by gear shaping with gear wheel-cutter has accompanied of known cutting errors met at rolling gears cutting: pitch error, total pitch error, profile tooth error, circular runout, etc. The technical papers consider that two aspects can analyze gears shaping precision with gear wheel-cutter: first by the analysis of profile gear cutting errors, and second by profile gear cutting errors in “closing zone of teeth gear”, with a main factor according of stiffness machine tools. The analysis of stiffness machine has done with the values displacements and relative ro
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Staniek, Roman. "Shaping of the Face Worm Gear by Means of the Single Edge Cutting Tool." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59218.

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The theoretical basics of forming the face toothings in flat wheels of spiroid gears by means of a single cutting edge tool, using NC machine tools, have been presented in the paper. Based on kinematics - geometrical formulas, there is described a geometrical model of creating the tooth spaces, as well as a geometrical model of determination of the modification depth along the tooth line. Equations of the tooth line have been calculated, as well as mathematical formulas enabling the determination of the modification depth, assuming the correct matching of the worm with the flat worm wheel of t
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Wang, Zegui, Xiaopeng Xie, and Jianhua Zhang. "Experimental Study on Running-In of Steel Gear Pairs With Micro- and Nano-Materials." In 2007 First International Conference on Integration and Commercialization of Micro and Nanosystems. ASMEDC, 2007. http://dx.doi.org/10.1115/mnc2007-21121.

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First, the paper put forward the method of making running-in oils with micro-quartz or nano-diamond powder. Then, the two oils were applied to the running-in of a gear pair respectively. The gears were made of steel C45E4 and by gear shaping. The tooth surfaces of the involute spur gears are fairly rough and soft. These parameters were measured as following: direct-reading and analytical ferrograph of oil samples, electric resistance between the gear pair, oil temperature, 3D-topography and energy spectrum and scan electron image of the tooth surfaces. The results showed that the running-in we
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Рязанов, С., S. Ryazanov, Михаил Решетников, and Mihail Reshetnikov. "Geometrical Model of the Manufacturing Surface of the Equivalent Working Surface of the Fine Tooth Dolbyak." In 29th International Conference on Computer Graphics, Image Processing and Computer Vision, Visualization Systems and the Virtual Environment GraphiCon'2019. Bryansk State Technical University, 2019. http://dx.doi.org/10.30987/graphicon-2019-1-196-200.

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Existing mathematical models for calculating gearing are quite complex and do not always make it possible to quickly and accurately obtain the desired result. A simpler way to find a suitable gear option that satisfies the task is to use computer modeling and computer graphics methods, and in particular solid-state modeling algorithms. The use of geometric modeling techniques to simulate the process of shaping the working surface of gearing is based on the relative movement of intersecting objects in the form of a “workpiece-tool” system. This allows you to obtain the necessary geometric model
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Gessner, Andrzej. "Theoretical Basis of Generation of Face Worm Gear Drive With Duplex Worm." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95519.

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New type of face worm gear drive with double-lead worm is proposed. The advantages of that gear in comparison to contemporary known gears are also mentioned. The shaping process of the face worm gear is carrying out by means of a single point tool. The same insert is used for cutting the duplex worm. Using a single point tool instead of hobbing cutter considerably reduces the manufacturing cost, in which the share of tool production plays the main role. The shaping process is performed on a CNC milling machine with or without additional equipment. Two main methods of shaping depended on settin
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Schenk, Thomas, Ulrich Uebel, and Friedrich Wo¨lfel. "Coroning: High Performance Gear Honing Without Dressing." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/ptg-48095.

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Gear honing with internally toothed tools was first used as a gear finishing process for improving unfavorable surface conditions of external cylindrical gears after grinding. Stock removal was minimal (less than 0.01 mm) and only dressable tools were used. From the beginning, the multi-directional surface structure created by gear honing was considered beneficial for gear noise performance. But limitations of the early machine and tool technology did not allow for more stock removal. For a long time gear honing represented an additional finishing process, performed after pre-finishing by shav
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Innocenti, Carlo. "Recursive Determination of Conjugate Profiles in Planar Motion With Application to Gear Design." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0071.

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Abstract A general procedure for determining the envelope of the outline of planar rigid figures is presented which allows both local and finite undercutting to be taken into account. A suitable parametrization of the enveloped curves, together with the insertion of cusps wherever undercutting occurs, enables the procedure to be applied recursively while maintaining high accuracy in describing the resulting envelopes. The proposed procedure provides the basis for an original validation method regarding parallel-axis spur and helical gears. The method takes into account possible undercutting du
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Lange, John M. "The Adaptation of CNC Helical Guide Technology to the Gear Shaping Process." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/ptg-48031.

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The Gear shaping process, like all gear manufacturing processes, has been enhanced by the application of CNC Technology. In the case of the gear shaping process the “partial” application of CNC Technology first occurred in 1982. While virtually all gear cutting and grinding machines have had their axes of motions converted to CNC, the development of a CNC electronic helical guide for the gear shaping process was delayed for technological reasons. The following questions will be discussed and answered: • Why is a helical guide necessary in the gear shaping process? • What had delayed CNC techno
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Shen, Yunbo, and Jinglin Tong. "Technology of Gear Shaping of Face Gear and Experimental Studies." In 2010 International Conference on Digital Manufacturing and Automation (ICDMA). IEEE, 2010. http://dx.doi.org/10.1109/icdma.2010.167.

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