Academic literature on the topic 'Gear rolling'

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Journal articles on the topic "Gear rolling"

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Khodaee, Alireza, and Arne Melander. "Process Planning of Gear Rolling with the Finite Element Method." Key Engineering Materials 622-623 (September 2014): 986–92. http://dx.doi.org/10.4028/www.scientific.net/kem.622-623.986.

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Gear rolling is a new gear manufacturing process which can partly replace traditional gear milling processes. High gear wheels with modules of 4mm up to 6mm are of interest to truck manufacturing. The process is of interest since it involves no material removal and since it has the potential to give good performance of the gear wheels. The process must be adopted for the large plastic deformations which occur for gear rolling with large modules. In this paper special emphasis will be put to loads and torques during the gear rolling process of gear wheels with large modulus. The FE method will
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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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Wang, Shitao, Zhenshan Gao, and Xiaozhong Deng. "Gear Tooth-Forming Mechanism and Experimental Research of a Spiral Bevel Gear Rolling Process Using Local Induction Heating." Mathematical Problems in Engineering 2023 (January 11, 2023): 1–16. http://dx.doi.org/10.1155/2023/8920567.

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The gear tooth near-net rolling process is a novel technique to enhance the tooth strength of spiral bevel gears. To study the gear tooth-forming mechanism, high-temperature rheological experiments of the material 20CrMnTiH were conducted using the Gleeble 1500D thermosimulation machine, and numerical simulations of the spiral bevel gear rolling forming process based on local induction heating were performed with the use of DEFORM-3D. According to the numerical and rolling experimental results, it is feasible to produce spiral bevel gears using the rolling process with local induction heating.
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Khodaee, Alireza, and Arne Melander. "Finite Element Simulation as a Tool to Evaluate Gear Quality after Gear Rolling." Key Engineering Materials 554-557 (June 2013): 300–306. http://dx.doi.org/10.4028/www.scientific.net/kem.554-557.300.

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Gear rolling is a manufacturing technique for gears with many advantages like reduced material consumption, reduced scrap generation, fast cycle times, good surface quality and improved final properties of the gear wheels compared to conventional production technology based on machining. In order to make use of all these advantages it is desired to reach the final shape of the gear wheel already after rolling. This means that post treatments like grinding should be avoided. This puts high requirements on the shape accuracy after gear rolling. In this paper it was studied if finite element simu
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Khodaee, Alireza, and Arne Melander. "A Study of the Effects of Reversal Cycles in the Gear Rolling Process by Using Finite Element Simulations." Key Engineering Materials 611-612 (May 2014): 134–41. http://dx.doi.org/10.4028/www.scientific.net/kem.611-612.134.

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The manufacturing of machine components with sustainable and innovative methods is an interesting topic for research. Gears are some components which have complexity in both design and production technology. Therefore applying innovative methods on gear manufacturing can be of interest to industry. One of the most promising production methods for gear wheels is Gear Rolling. The gear wheel is formed during a certain rolling process from a cylindrical blank into the final designed shape. The process of gear rolling with rotational gears is progressing by running several rolling cycles with one,
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He, Zenghuang, Xu Gong, Shengping Fu, Shanming Luo, and Jingyu Mo. "Design and Investigation of an Asymmetric Logarithmic Spiral Gear Drive." Applied Bionics and Biomechanics 2022 (December 26, 2022): 1–15. http://dx.doi.org/10.1155/2022/8550869.

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Sliding on gear teeth working surfaces has negative effects on the performances of gears, such as tooth surface wear, pitting, etc. In order to reduce the gear sliding during high speed and heavy load, a new type of pure rolling gear, named as an asymmetric logarithmic spiral gear, is designed referring to the characteristics of the Issus planthopper gear. To explore the meshing principle of this kind of gear, the equations of the teeth surfaces, their working lines, and contact lines are all derived. Then, the tooth profile parameters and slip rate are calculated. To ensure accurate gear enga
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Efremenkov, Egor A., Nikita V. Martyushev, Svetlana K. Efremenkova, and Egor S. Chavrov. "An Analysis of Power Friction Losses in Gear Engagement with Intermediate Rolling Elements and a Free Cage." Mathematics 12, no. 6 (2024): 873. http://dx.doi.org/10.3390/math12060873.

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Currently, mechanical gears with cycloid engagement are increasingly used in mechanisms along with involute ones. In modern drive mechanisms, using pin gears and gears with intermediate rolling elements (IRE) is widespread, which simultaneously use cycloid gears. To a greater extent, pin gears are now being investigated, but IRE gears have their undeniable advantages. Many works are devoted to the study of cycloid toothing for certain gears, but the efficiency, especially that of IRE gears, has practically not been investigated. Therefore, the analysis of power losses in the engagement of a ge
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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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WARDA, Bogdan, and Henryk DUDA. "A METHOD FOR DETERMINING THE DISTRIBUTION OF LOADS IN ROLLING PAIRS IN CYCLOIDAL PLANETARY GEAR." Tribologia 271, no. 1 (2018): 105–11. http://dx.doi.org/10.5604/01.3001.0010.6370.

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The power transmission system in the cycloidal planetary gear is created by a serial connection of three rolling pairs: central cylindrical roller bearings, a set of rolling pins in the straight-line mechanism, and cycloidal meshing. The paper presents the numerical method for determining the distribution of forces acting on each rolling pair of this gear. Unlike analytical methods, numerical methods allow one to find that distribution in corrected meshing. Geometrical dimensions used in the equations of balance for the planetary gear transmission Palmgren`s dependences for the deformation lin
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Chen, Zhen, and Ming Zeng. "Design of pure rolling line gear mechanisms for arbitrary intersecting shafts." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 15 (2019): 5515–31. http://dx.doi.org/10.1177/0954406219843953.

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Design of pure rolling line gear mechanisms for an arbitrary angle intersecting shafts was presented in this article. Based on the active design method of meshing line function for orthogonal shafts, three meshing types of conjugated tooth surfaces for an arbitrary angle intersecting shafts were discussed, including the parametric equations of different generatrix circles, the mathematical models of tooth surfaces, and central curves to be constructed, respectively. The validity of the active designed meshing line function was verified according to meshing equations, and the theoretical slidin
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Dissertations / Theses on the topic "Gear rolling"

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Khodaee, Alireza. "Gear Rolling for Production of High Gears." Licentiate thesis, KTH, Industriell produktion, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-173510.

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Gears are used to transmit mechanical workfrom one point to another. They are widely used in different mechanisms and they are the most important components of a transmission system. Thus, it is important that they are manufactured with high precision to deliver the work with highest possible efficiency. The dominant gear production method is metal cutting, like hobbing. The gear manufacturing industry aims to replace their traditional production lines with greener processes and thereby urge engineers to think about using metal forming methods instead of the traditional metal cutting solutions
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Saleem, Adil. "Simulations of Gear Rolling by Flat Tools." Thesis, KTH, Industriell produktion, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-140317.

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Gear rolling is one of the latest techniques being used in gear manufacturing. As compared to traditional gear manufacturing techniques, gear rolling can add benefits like improved surface finish, increased flank strength, increased load capacity and less material usage. After initial research initiatives in USA, Germany and China, efforts are underway to make this technique industrially viable for production of both low and high module gears. There are two methods for gear rolling one uses round tools while other uses flat tools. The current work examines advantages and limitations associated
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Alshahrany, Shaya. "Rolling contact fatigue in heavily loaded gear transmission contacts." Thesis, Cardiff University, 2015. http://orca.cf.ac.uk/90422/.

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This thesis examines the influence of asperities such as found on the teeth of gears and discs, and failure mechanisms associated with rough surface Elastohydrodynamic Lubrication (EHL). The principal outcomes of the research provide a good insight into fatigue life, residual stress effects, damage prediction and surface contact failures. In particular, the study is intended to provide understanding into the residual stress distribution resulting from plastic deformation of surface asperities in the running in process. The residual stress is then added to the asperity elastic stress distributi
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Dharmarajan, Vignesh. "An Investigation on Spur Gear Rolling Contact Fatigue Crack Initiation and Crack Propagation under EHL Condition." Wright State University / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=wright1578319670376195.

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Shon, Samuel. "An Experimental Study on the Impact of Various Surface Treatments on Friction, Scuffing, and Wear Characteristics of Lubricated Rolling-Sliding Contacts." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1351629351.

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Wilson, Steve Jason. "Traction and Wear Evaluation of a Number of Plastic Materials and Greases under Combined Rolling and Sliding Contact Conditions." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1337191253.

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RUZIMOV, SANJARBEK. "Modeling and Validation of Rolling Rotor Switched Reluctance Motors for Automotive Applications." Doctoral thesis, Politecnico di Torino, 2013. http://hdl.handle.net/11583/2511691.

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Electric machines are widely used in modern automotive technologies. Generally, automotive applications require robust and low cost electric motors for the reason of their mass production and operation in different environments. Permanent magnet motors have been used in automotive applications for their high power density when compared to other existing types of motors. Recent years, the price of permanent magnets is sharply increasing and this trend is expected to continue in future. Moreover, brittle nature of permanent magnets make this type of motor less reliable in high vibration applicat
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Zhu, Shaocheng. "Contribution to the modeling of rolling element bearing – rotor system for railway application." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSEI136/document.

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Quelques développements sont démontrés dans cette thèse, du modèle de contact au modèle de roulement et du modèle de roulement-rotor à la technique de reproduction par bancs. Tout d’abord, la méthode de perturbation est étendue afin de prouver que la rigidité et l’amortissement distribués en état stable EHL ne remplissent pas les conditions transitoires et que les coefficients intégrés ne sont pas appropriés pour les analyses dynamiques. La loi de distribution de la rigidité et l’amortissement du film d’huile de l’EHL est proposée. En combinant l’état initial d’une solution stable avec l’amort
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Hasan, Mushfiq. "Investigation of micropitting and wear in rolling/sliding contacts operating under boundary lubrication conditions." Thesis, Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-87215.

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Eigner, Florian. "Untersuchungen am koaxialen Getriebe „HypoGear“." Technische Universität Chemnitz, 2019. https://monarch.qucosa.de/id/qucosa%3A34306.

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Auf der Suche nach immer kompakteren koaxialen Getrieben für kleine Antriebe steht eine neue Bauweise bereit. Der Foliensatz stellt kurz die Baugruppen eines solchen Getriebes vor und klärt über einige der Herausforderungen auf, die die Entwicklung beeinflussen. Weiterhin wird auf die Berechnung der verbauten Hypoidzahnradstufe eingegangen. Die Berechnung der Zahngeometrie ausgehend von den Wälz-Gleit-Körpern wird losgelöst von den Einschränkungen betrachtet, die herkömmliche Serienfertigungsverfahren mit sich bringen. Ausblickend werden die Entwicklungsschritte umrissen, die zunächst zum Prot
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Books on the topic "Gear rolling"

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author, Parker Robert G., and National Renewable Energy Laboratory (U.S.), eds. Rolling element bearing stiffness matrix determination. National Renewable Energy Laboratory, 2014.

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1937-, Huston Ronald L., Oswald Fred B, United States. Army Aviation Research and Technology Activity., and United States. National Aeronautics and Space Administration., eds. Contact stresses in meshing spur gear teeth: Use of an incremental finite element procedure. National Aeronautics and Space Administration, 1992.

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Sandler, Corey. Official Sega Genesis and Game Gear strategies, 3RD Edition. Bantam Books, 1992.

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Rajendra, Singh. Vibration transmission through rolling element bearings in geared rotor systems. Lewis Research Center, 1990.

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N, Bamberger Eric, United States. Army Aviation Research and Technology Activity., and United States. National Aeronautics and Space Administration., eds. Surface fatigue life of carburized and hardened M50NiL and AISI 9310 spur gears and rolling-contact test bars. National Aeronautics and Space Administration, 1989.

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Schwartz, Steven A. The Big Book of Nintendo Games. Compute Books, 1991.

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Rolling Stones Gear. Backbeat Books, 2012.

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Lecouffe, Aude, João Marafona, and Pedro Romio, eds. Porto-Lyon Seminar 2021: Book of Abstracts. FEUP, 2022. http://dx.doi.org/10.24840/978-972-752-293-4.

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This book contains the abstracts supporting the oral communications that constituted the program of the Porto-Lyon Seminar 2021, held in Lyon (France), between the 23rd and 25th of February 2022. Porto-Lyon Seminar was an opportunity for PhD students, in the area of tribology, to discuss their ongoing research with peers. The addressed topics included: bearing modelling, gear modelling, lubricant oil analysis, maintenance, power loss, rolling contact fatigue, thermal contact modelling.
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Official Sega Genesis and Game Gear Strategies, '94 Edition. Random House, Electronic Publishing, 1993.

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Mh, Cosplayerin Publishing. Gepr�ft und Best�tigt Beste Cosplayerin der Welt: Inkl. Terminplaner - Kalender 2020 ★ - das Perfekte Geschenk F�r Frauen, Die in Andere Rollen Schl�pfen - Geschenkidee - Geschenke. Independently Published, 2019.

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Book chapters on the topic "Gear rolling"

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Neugebauer, R., U. Hellfritzsch, M. Lahl, M. Milbrandt, S. Schiller, and T. Druwe. "Gear Rolling Process." In Lecture Notes in Production Engineering. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-32448-2_22.

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Tesker, E. "Increase in Contact Strength of Heavy-Loaded Rolling Bearings for Gear Drives and Transmissions." In Advanced Gear Engineering. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-60399-5_9.

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Ozaki, T. "Improvement of Tooth Profile Accuracy in Finish Gear Rolling of Helical Gears." In Advanced Technology of Plasticity 1987. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-662-11046-1_81.

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Gerasimova, A. A., M. V. Vasilyev, V. A. Nagovitsyn, and C. I. Shaibel. "Upgrading the Gear Stand of Hot Rolling Mill 2000." In Proceedings of the 8th International Conference on Industrial Engineering. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-14125-6_81.

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Cheng, Hao, Jing Wei, Aiqiang Zhang, and Bin Peng. "Dynamic Response of Gear Transmission System under Barrel Rolling Flight Environment." In Advances in Asian Mechanism and Machine Science. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-91892-7_15.

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Vasiliev, Mikhail, and Vilen Stepanov. "Research of the Kinematic Error of a Wave Gear with Rolling Bodies." In VIII International Scientific Siberian Transport Forum. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37916-2_53.

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Strzelecki, Stanislaw, and Z. Towarek. "Effect of Shaft Unbalance on the Operation of Worm Gear Rolling Bearings." In Damage Assessment of Structures VI. Trans Tech Publications Ltd., 2005. http://dx.doi.org/10.4028/0-87849-976-8.441.

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Cao, Shengge, Jingjun Yu, Guoxin Li, Jie Pan, and Xu Pei. "Design and Analysis of a Rolling Joint Based on Gear Tooth for Continuum Robots." In Intelligent Robotics and Applications. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89092-6_16.

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Rajaei, Ali, Marco Becker, Yuanbin Deng, et al. "Materials in the Drive Chain – Modeling Materials for the Internet of Production." In Internet of Production. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-030-98062-7_23-1.

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AbstractIn this chapter, the focus lies on a predictive description of the material response to the thermomechanical loads within different process steps by means of physical and data-driven models. The modeling approaches are demonstrated in examples of innovative production technologies for components of a drive chain: Fine blanking of parts; powder metallurgical (PM) production of gears; open-die forging and machining of drive shafts. In fine blanking, material, process, and quality data are acquired to model interactions between process and material with data-driven methods. Interpretable
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Rajaei, Ali, Marco Becker, Yuanbin Deng, et al. "Materials in the Drive Chain – Modeling Materials for the Internet of Production." In Internet of Production. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-44497-5_23.

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AbstractIn this chapter, the focus lies on a predictive description of the material response to the thermomechanical loads within different process steps by means of physical and data-driven models. The modeling approaches are demonstrated in examples of innovative production technologies for components of a drive chain: Fine blanking of parts; powder metallurgical (PM) production of gears; open-die forging and machining of drive shafts. In fine blanking, material, process, and quality data are acquired to model interactions between process and material with data-driven methods. Interpretable
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Conference papers on the topic "Gear rolling"

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Miller, James B., Ravi Shankar, and John Walters. "Numerical Simulation Advances in Gear Manufacturing Processes." In HT 2013, edited by B. Lynn Ferguson. ASM International, 2013. https://doi.org/10.31399/asm.cp.ht2013p0173.

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Abstract This paper examines the growing adoption of advanced numerical simulation methods by gear manufacturers seeking to enhance understanding and optimization of manufacturing processes. The industry is progressing beyond isolated analyses of individual processes toward integrated simulations of sequential manufacturing steps, including heating, ring rolling, cold forming, forging, quenching, tempering, and carburization. Manufacturers are investigating the complex interrelationships between these processes using simulation software such as DEFORM to achieve more accurate predictions of cr
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Covarrubias-Alvarado, Octavio, Arisbeth Sias-Chacon, and Alberto Perez-Unzueta. "Evaluation of a New Cobalt-Free Alloy for Seamless Rings Application." In HT 2013, edited by B. Lynn Ferguson. ASM International, 2013. https://doi.org/10.31399/asm.cp.ht2013p0185.

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Abstract PremoMet, a cobalt-free alloy, is engineered for high strength and toughness after quenching and tempering, positioning it as a potential replacement for AISI 4140 and AISI 8630 in gear and flange production, where improved fatigue life is anticipated. Utilizing open-die forging and ring-rolling for component fabrication, optimal properties are attained through meticulous microstructure control, with heat treatment being crucial. Representative seamless rings, produced under standard industrial conditions, were segmented and subjected to varying quenching and tempering regimens to ass
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Liu, Chia-Chang, and Kao Hui Lin. "Simulation of Double Flank Gear Rolling Testing." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86970.

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The double flank gear rolling testing is a method by which a master gear is rolled together, in tight mesh, with a testing gear. As the gears roll, slight variations of center distance are measured and recorded as an indicator of gear quality. The double flank gear rolling testing is easy and low coast, therefore, it is widely used in gear industry. In this study, the mathematical models of standard master gears and testing gears with various errors are carried out first according to the theory of gearing. Then, the process of double flank gear rolling testing is simulated by applying the conc
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Peritt, Jonathan M., Lung-Wen Tsai, and John M. Vranish. "The Development of Flex-Gears for the Conduction of Electricity Across a Continuously Rotating Joint." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0266.

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Abstract The transfer of electricity across a continuously rotating joint is especially important in robot joints and brush-type motors. In this paper, the shortfalls of present technologies, such as electric brushes, arc discussed. Flex-gears are presented as an alternative method of transferring electricity across a continuously rotating joint. A new type of gear, called a pitch-rolling-gear, is developed from involute gear technology for use as a flex-gear. Finally, the design of planetary flex-gear devices using pitch-rolling-gears is presented.
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Lahmar, F., and P. Velex. "Simulations of Gear-Rolling Element Bearing Interactions in Geared Transmissions." 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-48040.

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The modular model of geared systems presented in this paper makes it possible to simultaneously account for the contact conditions in gears and rolling element bearings. Gears are modeled as two rigid cylinders connected by distributed mesh stiffnesses while ball and roller bearings contribute to the equations of motion as time-varying, non-linear external forces. Solutions are obtained by combining a Newmark time-step integration scheme, a Newton-Raphson method for ball bearing non-linearity and a normal contact algorithm that deals with the contact problem between the teeth. It is found that
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Kotthoff, Gerd, Björn Leupold, and Timothy Geiman. "Predictive Modelling of P/M Gear Rolling." In SAE 2006 World Congress & Exhibition. SAE International, 2006. http://dx.doi.org/10.4271/2006-01-0386.

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Scholzen, Philipp, and Michael Andersson. "Modelling Surface Densification Rolling of Powder Metal Gears." In Euro Powder Metallurgy 2024 Congress & Exhibition. EPMA, 2024. http://dx.doi.org/10.59499/ep246278535.

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The powder metallurgical (PM) process chain is a great opportunity for gear manufacturing regarding both material and energy consumption when compared to the conventional gear production. However, the remaining porosity after pressing and sintering results in a lower load capacity of the tooth flank and tooth root. Therefore, PM gears for high performance applications are surface densified to increase the density of the surface of the tooth. \n This paper presents a new general approach of modelling the surface densification rolling process of PM gears. Using the finite element analysis, the m
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Koide, Takao, Satoshi Oda, Hitoshi Nakamura, and Michinari Onishi. "Effect of Sintering Process and Rolling on Surface Durability of Sintered Metal Gears." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/ptg-14382.

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Abstract This paper presents a study on the surface durability of sintered metal gears. Gear blanks made of partially prealloyed steel powders were compacted and sintered under various processes, then they were hobbed and case-hardened. Some gears were surface-rolled under various amount of rolling before case-hardening. The contact fatigue tests were carried out for these gears using the power-circulating-type gear test machine. The effects of sintering processes and rolling on the surface durability and wear of sintered metal gears were determined. Furthermore, the surface durability of the
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Ma, Ziyong, Yuanxin Luo, and Yongqin Wang. "Study on the Pitch Error in the Initial Stage of Gear Rolling Process." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67048.

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Gear rolling process is a state-of-the-art technology on track for the future due to the productivity, high material unitization rate and high profile qualities. The pitch error has been one of main concern to fabricate high precision gears. The initial stage is to divide the angular position of teeth, and it has significant impact to pitch error of the formed gear as well as fatigue life of the rolling tools. This paper is aimed to study the two geometrical requirements of dividing teeth in the initial stage that are the phase difference of rolling tools and the contact ratio. The contact rat
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Figliolini, Giorgio, and Jorge Angeles. "Algorithms for Involute and Octoidal Bevel-Gear Generation." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57268.

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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 curve on the pitch cone. The proposed algorithms have been implemented in Matlab; s
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