Journal articles: 'Tooth engagement'

1

ZWOLAK, Jan, and Martyna MAREK. "THE ANALYSIS OF THE SLIPPAGE AND CONTACT STRESS IN THE MESHING OF THE POWER-SHIFT TYPE GEAR." Tribologia 269, no. 5 (October 31, 2016): 229–41. http://dx.doi.org/10.5604/01.3001.0010.6703.

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This work is an analysis of gear slippage and contact stresses in toothed gears of a six-shaft power shift gearing. Gear meshing contains 5 characteristic contact points located within the active surface of a tooth. The contact points are as follows: A – beginning of a tooth involute profile located within double-tooth engagement area; B – the end-point of double-tooth engagement constituting the beginning of single-tooth engagement area; C – pitch point, referred to also as the central contact point; D – the last point of the single-tooth engagement being at the same time the starting point of the double-tooth engagement area, which is a part of the tooth tip; and, E – point at the tooth tip that closes the double-tooth engagement area. The location of individual contact points and the resulting slippage and contact stress values depend on the geometrical parameters of cooperating gear wheels. The inter-relationship suggests that, in power shift gearings, the contact points have as many positions within the active surface as there are cooperating gear wheels.

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Jian, Xiao Gang, Hong Sheng Jia, Yong Ming Bian, and Lai De Shi. "Research on the Engagement Effect of Wedge Tooth." Applied Mechanics and Materials 130-134 (October 2011): 1789–93. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.1789.

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In this paper, we analyze the working mechanism of the wedge-type anchorage in the hydraulic synchronizing lifting device and tradition one, discuss the engagement effect between the wedge and the steel strand, establish a mathematical model to analyze the wedge tooth strength and evaluate carrying contaminant capacity qualitatively. The results of the study indicate that: the hardness difference between the wedge and the steel strand, the tooth shape and relevant parameters, the inside tooth surface geometric structure, are key factors to improve the performance of the wedge-type anchorage, which provides the basis to the wedge tooth optimization design and its working life prediction.

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CHERNETS, Myron, Jerzy KIEŁBIŃSKI, and Jurij CHERNETS. "A STUDY ON THE IMPACT OF TEETH MESHING CONDITIONS AND PROFILE CORRECTION ON THE CARRYING CAPACITY, WEAR, AND LIFE OF A CYLINDRICAL GEAR." Tribologia 266, no. 2 (April 30, 2016): 25–43. http://dx.doi.org/10.5604/01.3001.0010.7561.

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Using an innovative method for determining wear and life of toothed gears, the author investigates the effect of teeth meshing in a mixed (double-singledouble) tooth engagement of cylindrical helical gears on their contact strength, wear, and service life. The paper also presents a method for determining zones of double and single tooth engagement. It is found that gear profile correction leads to a reduction in maximum contact pressures by about 15–20%, depending on the applied type of correction. The distribution of pressures greatly depends on the conditions of tooth engagement. The wear of teeth is also significantly affected by their meshing conditions. Depending on the type of correction applied and its coefficients, the allowable limit of gear tooth wear will occur at different points of contact: at the beginning of double tooth engagement and at the beginning or end of single-tooth engagement. It is shown that the service life of gears can be considerably prolonged if optimum correction coefficients are applied. Specifically, height correction increases the gear life by 1.66 times while angular correction prolongs the service life of gears by up to two times.

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Chernets, Myron, and Jurij Chernets. "The simulation of influence of engagement conditions and technological teeth correction on contact strength, wear and durability of cylindrical spur gear of electric locomotive." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 231, no. 1 (August 5, 2016): 57–62. http://dx.doi.org/10.1177/1350650116645024.

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The cylindrical spur tractive gear of the electric locomotive has been conducted using the author’s method of the calculation of maximum contact pressures, teeth wear and durability at technological correction of engagement at changeable, in the result of teeth wear and conditions of their contact. The regularities of tribocontact pressures change in engagement has been established after reaching the permissible wear depending on the shift coefficients in the phases of double–single–double tooth engagement. Considerable decrease of maximum tribocontact pressures is observed in the result of teeth wear in the entry phase of double-tooth engagement in comparison with their initial values. Depending on the shift coefficients, maximum (permissible) wear of wheel teeth would arise in different contact points: at the entrance into single-tooth engagement in non-corrected gear and at the exit in the presence of correction. Gear durability has its optimum at [Formula: see text] = 0.1 which is 1.22 times larger than in the absence of engagement correction.

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CHERNETS, Myron. "A GENERALIZED METHOD FOR PREDICTING CONTACT STRENGTH, WEAR, AND THE LIFE OF INVOLUTE CONICAL SPUR AND HELICAL GEARS: PART 1. SPUR GEARS." Tribologia 277, no. 1 (March 1, 2018): 11–18. http://dx.doi.org/10.5604/01.3001.0011.8276.

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The paper presents the results of research undertaken to determine maximum contact pressures, wear, and the life of involute conical spur gear, taking into account gear height correction, tooth engagement, and weargenerated changes in the curvature of their involute profile. Moreover, we have established the following: (a) the initial contact pressures are higher in the internal section with double-single-double tooth engagement; (b) the highest values can be observed at the entry of single tooth engagement; (c) the maximal tooth wear of the wheels in the frontal section will be less than half of that in the internal section; (d) profile shift coefficients have an optimum at which the highest gear life is possible; and (e) gear life in the internal section will be less than half of that the frontal section. The calculations were made for a reduced cylindrical gear using a method developed by the authors. The effect of applied conditions of tooth engagement in the frontal and internal sections of a cylindrical gear ring is shown graphically. In addition, optimal correction coefficients ensuring the longest possible gear life are determined.

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Inoue, Y., and A. Seireg. "Simulation of Dual Drive Branched Gear Systems During Selective Engagement of the Prime Movers." Journal of Mechanisms, Transmissions, and Automation in Design 107, no. 3 (September 1, 1985): 437–42. http://dx.doi.org/10.1115/1.3260741.

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This paper describes a digital simulation of the vibration and impact in a dual drive branched gear system during the engagement and disengagement of the prime movers. A nonlinear transient response analysis is carried out to illustrate the influence of system inertia, the tooth backlash, rate of clutch engagement and disengagement, friction etc. on tooth separation and dynamic tooth loads. The simulation procedure which is based on the phase-plane-δ method provides a general and effective tool of analysis for this class of problems. The existence of an optimal backlash condition for the idle pinion, which minimizes the dynamic tooth load, is illustrated.

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7

ZWOLAK, Jan, and Marek MARTYNA. "ANALYSIS OF CONTACT AND BENDING STRESSES IN GEARBOX SWITCHING UNDER LOAD." Tribologia, no. 4 (August 31, 2017): 0. http://dx.doi.org/10.5604/01.3001.0010.6050.

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The work analyses contact stresses that occur within the active surface of toothed gears as well as bending stresses that take place at the tooth root. Contact stresses have been designated at the beginning of the singletooth engagement area within the pitch point and in the end of single-tooth engagement area. Designation of bending stresses at the tooth root has been made by applying the interteeth force to the external point of single-tooth engagement. The calculated numerical values of contact and bending stresses were compared to fatigue contact durability σH lim and fatigue bending strength σF lim that were obtained experimentally. Calculations of contact stresses and bending stresses were done with multi-criterion optimisation, which makes it possible to select such geometrical parameters of toothed gears that allow utilizing fatigue durability σH lim and σF lim in reference to a given material and technology of manufacturing toothed gears.

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8

SUGIMOTO, Nobuyuki, Takeshi ISHIDA, Teruaki HIDAKA, Masakatsu SASAHARA, and Yoshihiro TANIOKA. "Computer Simulation of Tooth Engagement of Strain Wave Gearing." Transactions of the Japan Society of Mechanical Engineers Series C 58, no. 551 (1992): 2232–37. http://dx.doi.org/10.1299/kikaic.58.2232.

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9

Chernets, Myron, A. Kornienko, Yu Chernets, and S. Fedorchuk. "Analytical assessment of the sliding friction coefficient influence on durability, wear and contact pressure in spur gears." FME Transactions 49, no. 2 (2021): 472–79. http://dx.doi.org/10.5937/fme2102472c.

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The research of influence of sliding friction coefficient on durability is carried out for gear train containing steel wheels and metal-polymer gear trains containing polyamide gears reinforced with carbon and glass dispersion fibers. The teeth engagement conditions (two teeth pairs - single tooth pair - two teeth pairs) and the change of teeth tribocontact interaction conditions due to wear are also taken into account. The gear train containing the carbon-filled composite gear has the highest durability in comparison with other types in all ranges of change of sliding friction coefficient. The highest maximum contact pressures will be at the point of entry into the one-pair engagement. The change of initial maximum contact pressures in gear train due to tooth wear was also investigated and its regularities were established. The kinetics of the tooth profile wear was studied. It is established that the maximum wear will be at the point of entry into the one-pair engagement. Close to it will be the wear at the entrance into the two-pair engagement. The course of wear at different points of engagement for the studied gear trains containing steel toothed wheels and gear trains containing steel and composite gears is almost the same except for the point of the teeth exit from the engagement.

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10

CHERNETS, Myron. "A GENERALIZED METHOD FOR PREDICTING CONTACT STRENGTH, WEAR, AND THE LIFE OF INVOLUTE CONICAL SPUR AND HELICAL GEARS: PART 2. HELICAL GEARS." Tribologia 277, no. 1 (March 1, 2018): 19–23. http://dx.doi.org/10.5604/01.3001.0011.8278.

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The paper presents the results of research undertaken to determine maximum contact pressures, wear, and the life of involute conical helical gear, taking account of gear height correction, tooth engagement, and weargenerated changes in the curvature of their involute profile. We have established the following: (a) initial maximal contact pressures will be almost the same at the engagement in external and internal segments; (b) their highest meanings occur in different points of engagement depending on the coefficients of displacement; (c) the maximal tooth wear of the rings in the internal section will be a little bit lower than in the external; (d) the coefficients of displacement have an optimum at which the highest gear life is possible; and, (e) the gear life in the frontal section will be 1.25 lower than in the internal section. The calculations were made for a reduced cylindrical gear using a method developed by the authors. The effect of applied conditions of tooth engagement in the frontal and internal sections of a cylindrical gear ring is shown graphically. In addition, optimal correction coefficients ensuring the longest possible gear life are determined.

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11

Denkena, Berend, Jens Köhler, Andreas Schindler, and Stephan Woiwode. "Continuous generating grinding — Material engagement in gear tooth root machining." Mechanism and Machine Theory 81 (November 2014): 11–20. http://dx.doi.org/10.1016/j.mechmachtheory.2014.06.008.

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12

Chase, Kenneth W., Carl D. Sorensen, and Brian J. K. DeCaires. "Variation Analysis of Tooth Engagement and Loads in Involute Splines." IEEE Transactions on Automation Science and Engineering 7, no. 4 (October 2010): 746–54. http://dx.doi.org/10.1109/tase.2009.2033033.

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13

Zhang, Yue Min, Xiao Lin Wang, and Xiao Ru Hao. "Analysis of Contact Lines on Corrected Planar Double-Enveloping Worm Wheel." Advanced Materials Research 341-342 (September 2011): 124–27. http://dx.doi.org/10.4028/www.scientific.net/amr.341-342.124.

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The tooth-surfaces of corrected planar double-enveloping worm wheel were established by programming in MATLAB with the theory of spatial engagement. The contact lines were analyzed, and the contact styles were classified with given parameters. A new method of judging the types of contact lines was brought out. Based on the theory of spatial engagement, the re-machined planar double-enveloping worm gear is established by programming with MATLAB software. The contact lines on the worm wheel tooth-surface are analyzed and given the method of the contact line kind judgment.

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14

Yang, Guo Lai, Xiao Li Zhang, Jia Ye Fan, Li Hao Zhu, Qiang Chen, and Wen Qi Li. "Parameter Design of Tooth Profile for Internal Cycloid Gear Pump with Multi-Teeth Difference." Applied Mechanics and Materials 687-691 (November 2014): 13–17. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.13.

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Based on the principle of gear engagement, the equation of rotor tooth profile has been reduced in this paper and has drawn the actual cycloid tooth profile by MATLAB software, the data obtained from MATLAB Workspace is processed by EXCEL, so the parameter drawing of the full gear tooth profile curve is very easy in AutoCAD software platform. This design method has high accuracy and convenient to processing in CNC machining center.

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15

MARTYNA, Marek, and Jan ZWOLAK. "ANALYSIS INTO THE INFLUENCE OF SELECTED TOOTHED GEAR PARAMETERS ON THE VALUE OF SLIPPAGE AND CONTACT STRESSES IN A CYLINDRICAL GEARBOX." Tribologia 280, no. 4 (August 1, 2018): 49–54. http://dx.doi.org/10.5604/01.3001.0012.7530.

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The paper presents issues concerning the geometrical and durability calculations of power shift gearboxes with multi-criterion optimization, using proprietary computer software. Among many parameters influencing the value of slippage and contact stresses, the flank ratio at P-0 correction and P correction, the value of the flank angle, and the module value were analysed. The slippage was analysed at Point B1, which belongs to the beginning of the single tooth engagement area, as well as in Point B2, where the single tooth engagement area ends. Contact stresses were calculated at Point C, which is the pitch point. Their values were referenced to experimentally determined fatigue contact durability σHlim.

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16

Yang, Xiang Hong, and Shu Zhong Lin. "Study on Tooth Profile Errors of Flexible Wheel Cold Rolling Machining." Applied Mechanics and Materials 229-231 (November 2012): 2463–66. http://dx.doi.org/10.4028/www.scientific.net/amm.229-231.2463.

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The harmonic gear cold rolling process is an effective method to solve mass production. However, tooth profile quality problems greatly hinder the development of the process. Based on engagement theory, the dynamic characteristics of the rolling process and flexible wheel rolling tooth profile errors caused by the changes of the number of contact points were analyzed and studied, and the process methods were put forward to eliminate or reduce tooth profile errors in this paper, which has an important significance in analysis of rolling tooth profile errors, modification shape of the rolling wheel, optimization of process parameters and improvement of gear rolling quality.

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17

KONDO, Koshi, and Jun TAKADA. "Study on wave gear drives. Kinematics and geometry of tooth engagement." JSME international journal 30, no. 263 (1987): 854–60. http://dx.doi.org/10.1299/jsme1987.30.854.

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18

ZWOLAK, Jan, Marek MARTYNA, and Dominik KOZIK. "DISTRIBUTION OF CONTACT STRESSES AND INTER-TOOTH SLIP IN BILATERAL AND UNILATERAL ENGAGEMENT." Tribologia 286, no. 4 (August 31, 2019): 121–31. http://dx.doi.org/10.5604/01.3001.0013.5973.

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The paper presents the issues concerning contact stresses and inter-tooth slip of a power shift gear used in the powertrain of a wheel loader. The kinematic diagrams on individual gear ratios of the transmission are presented. Using appropriate numerical values of contour shift coefficients (correction coefficients), normal bilateral gearing, pre-pitch unilateral gearing, and post-pitch unilateral gearing were considered. In each of the three types of gearing, contact stresses and inter-tooth slip were calculated for each gear pair and at each gear ratio level, using an author's computer program with multi-criteria optimization.

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Sun, Guo Xing, Chuan Qiong Sun, and Qiang Liu. "The Research on Three-Dimensional Model of Non-Circular Gear." Advanced Materials Research 479-481 (February 2012): 953–56. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.953.

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According to the principles of engagement and the mathematical model of non-circular gear tooth profile, the tooth profile of non-circular gear is draw. Then the three-dimensional model of the non-circular gear is created in Pro/E three-dimensional software to provide the basis for a non-circular gear motion analysis, dynamic analysis and finite element analysis.

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20

Zhang, G. Z., and Jiang Han. "Study on Honing Mechanism of Gear Surface Using an Internal Honing Wheel Based on Single-Particle Abrasive." Key Engineering Materials 764 (February 2018): 235–44. http://dx.doi.org/10.4028/www.scientific.net/kem.764.235.

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Based on geometry model of single abrasive particle, comparing abrasive geometries of different materials displayed in SEM images, it is proposed that abrasive geometry is similar to inverted cone with vertex radius in sphere. Based on abrasives with inverted cone geometry, through introducing sliding ratio, mathematical models of cutting force and specific grinding energy of single abrasive have been established to study about cutting force in meshing line of single abrasive; in accordance with specific grinding energy of single abrasive, combined with internal meshing principle, the relationship among specific grinding energy, engagement, and meshing line length l have been studied. Through simulation analysis, it is shown that the unit normal force of single abrasive in whole meshing line gradually increases from tooth top to pitch line and tooth root; the greater the value of l from pitch line to tooth top, the more the specific grinding energy accordingly; however the greater the value of l from pitch line to tooth root, the smaller the specific grinding energy therewith; the greater the engagement, the smaller the specific grinding energy which tends to stable with changing of l.

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

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This paper studies the conjugated involute profile which are used in internal gear pumps. In this type of gear mechanisms, the internal gear profile is completely conjugate of the external gear profile. A composite line of action curve is obtained because the root fillets also play role in engagement cycle. The perfomance of the mechanism is increased. By applying consequent transformations, firstly the tooth surface of the generated external gear is obtained and secondly the tooth surface of the conjugated involute internal tooth surface is obtained. Also asymmetric tooth is considered. Mathematical models of generating and generated tooth surfaces are given. Based on the given mathematical models, a computer program is developed to obtain generating and generated surface. Conventional and conjugated involute profiles are compared.

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Wu, Jie, and Jia Quan Wang. "Study on Design Method of the Double Arc Gear Hobs." Advanced Materials Research 823 (October 2013): 257–60. http://dx.doi.org/10.4028/www.scientific.net/amr.823.257.

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This article find that one of the effecting the double circular arc gear s running performance is the double circular arc gear tooth profile precision, through analysis to the running-in properties of double arc gear. The problems about tooth profile precision of gear hobs caused by the current profiling theory and approximate design method of gear hobs are analyzed. In the design of circular arc gear hob, use the space engagement theory, can eliminating the tooth error. Acquiring the equation of hobs basic of worm tooth surface by analytical and calculation that the establishment of basic gear rack and worm of hob meshing. The hob not only eliminate the tooth profile error in manufacturing, but also improve the running performance of double circular arc gear, and provides the theory evidence for engineering practice.

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Yu, G. B., J. M. Wen, J. F. Nie, and B. Dai. "Research on Meshing Theory and Simulation of Noninvolute Beveloid Gears with Crossed Axes." Applied Mechanics and Materials 274 (January 2013): 229–32. http://dx.doi.org/10.4028/www.scientific.net/amm.274.229.

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Crossed axes noninvolute beveloid gears meshing with line contact has been studied in this paper. The engagement equation and tooth profile equation have been presented by applying the theory of gearing. Meanwhile the tooth profile errors and axial errors have been calculated by means of numerical analysis and provided a theoretical way to calculate the induced normal curvature along the normal direction of the contact line in this paper.

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Xiao, Jun, Xu Lei Deng, Jia Ning He, Wu Xing Ma, Jin Song Li, and Yan Li. "Research on the Transmission Characteristics and Mechanical Mechanics of Dual Meshing Points in Involute-Circular Arc Tooth Gear." Applied Mechanics and Materials 540 (April 2014): 83–87. http://dx.doi.org/10.4028/www.scientific.net/amm.540.83.

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The principle of gear engagement and the relevant knowledge of gear geometry were used to introduce the dual meshing points involute-circular arc tooth gear in detail. At the same time, use the derived equation of the contact line and the tooth profile equation to describe the gear meshing process. Derive to this gear formula of coincidence degree calculate, in order to improve the transmission theory of the gear. Combine the gear contact line equation, equation of the tooth profile and transmission analysis, studies the meshing performance and serve as a theoretical basis for the gear design and application.

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Qian, Zhi Liang, and Yan Chen. "Research on Tool Post Angle of Standard Hob Cutting Modified Gear." Applied Mechanics and Materials 43 (December 2010): 555–59. http://dx.doi.org/10.4028/www.scientific.net/amm.43.555.

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In view of the adjustment of tool post angle during hobbing modified spur gear, the basic worm helicoids of hob is generated according to national standards. The model of the hobbing is established according to space engagement theory and actual processing conditions. The formulae for the transversal shape of workpiece gear and its tooth-profile and tooth-thickness deviations are derived. Several calculating examples are given. The results show that there are different zero (tooth-profile and tooth-thickness) deviation tool post angle for different modification coefficient. Finally, the approximate formulae for zero deviation tool post angles are given to be easy to use in engineering. The tool post angle adjusted according to the method can ensure precision of workpiece gear.

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26

Komori, T., Y. Ariga, and S. Nagata. "A New Gears Profile Having Zero Relative Curvature at Many Contact Points (LogiX Tooth Profile)." Journal of Mechanical Design 112, no. 3 (September 1, 1990): 430–36. http://dx.doi.org/10.1115/1.2912626.

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We have successfully developed a tooth profile which enables a spur gear having zero relative curvature at contact points under the engagement through the concave/convex pattern of contact and further enables a single flank of the tooth profile to have the infinite number of points where the relative curvature and specific sliding are zero values. We have given a name of “LogiX” to this tooth profile. A W-N (Wildhaber-Novikov) tooth profi¨le has been known as that having the concave/convex pattern of contact. The tooth profile, however, is applied only to a helical gear due to its feature of a point contact. While, on the LogiX tooth profile, an improvement has been made so that a pair of spur gears having the tooth profile may contact each other through the concave/convex pattern of a line-contact which cannot be achieved by the W-N tooth profile. Therefore, the LogiX tooth profile has realized a spur gear whose surface durability is as high as that of the W-N tooth profile. Since the results of durability tests show slightly higher than an involute one, it is expected that a new type heavy duty gear of this tooth profile puts into practical use. Furthermore, the tooth profile will have the possibility of creating the new era in the history of tooth profile theory.

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Zhang, Haibo, and Xiaofang Shen. "A dynamic tooth wear prediction model for reflecting “two-sides” coupling relation between tooth wear accumulation and load sharing behavior in compound planetary gear set." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 9 (January 13, 2020): 1746–63. http://dx.doi.org/10.1177/0954406219900085.

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In planetary gear set, load sharing behavior determines the average amplitude of meshing force, so determines the tooth wear. Meanwhile, tooth wear accumulation increases the backlash, so affects the load sharing behavior. As a result, a “two-sides” coupling relation appears between load sharing behavior and tooth wear. In order to reveal this coupling relation, a static tooth wear prediction model for compound planetary gear set is employed to describe the wear distribution along tooth profile and backlash generated by tooth wear accumulation. Then, a “translational-rotational” lumped-parameter dynamic model of compound planetary gear set is built to calculate the eccentric load coefficient for each meshing pair, under the excitation from the backlash generated by tooth wear accumulation, transmission error, and other excitation. Based on the aforementioned two models, a dynamic tooth wear prediction model is put forward to reflect “two-sides” coupling relation between tooth wear accumulation and load sharing behavior in compound planetary gear set. Lastly, in order to improve the reliability, a 3D-diformable model is built to study the influence of tooth wear on load sharing. The results indicated that, with the system running and tooth wear increasing, under the condition of no-initial transmission error, tooth wear accumulation decreases the load sharing at meshing engagement and disengagement, and under the condition of initial transmission error, tooth wear accumulation improves load sharing behavior slightly.

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Ren, Su Bo, and Ming Hua Bai. "Optimal Design of Tooth Profile for Sprocket Wheel on No Arching Sintering Machine." Advanced Materials Research 567 (September 2012): 250–53. http://dx.doi.org/10.4028/www.scientific.net/amr.567.250.

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Aimed at the instability factors of no arching sintering machine in the operation, their causes is analyzed, from the theoretical design, the composite tooth profile curve of sprocket wheel is optimized. Combined with the motion characteristics of the pallet car and the conditions required, by choosing proper motional parameters, a unified curve equation of tooth profile is gained. According to the actual size of the sprocket wheel, the two composite tooth shape of sprocket wheel before and after optimization is compared, and the velocity and acceleration characteristics of the composite tooth profile curve are analyzed. The results show that the optimized composite tooth profile curve of the sprocket wheel is more simple and reasonable, and can improve the engagement condition of the sprocket wheel and the pallet car, easy to manufacture, these provide a theoretical basis for the stability operation of no arching sintering machine.

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Li, Qiang, Shu Qin Wu, and Hong Bo Yan. "Dynamic Contact Emulate Analysis of Logarithmic Spiral Bevel Gear with ANSYS/LS-DYNA." Applied Mechanics and Materials 86 (August 2011): 531–34. http://dx.doi.org/10.4028/www.scientific.net/amm.86.531.

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For a new type of bevel gear-logarithmic spiral bevel gear, which stress mechanical properties are studied during the meshing process. Three-dimensional meshing models of logarithmic spiral bevel gear are established by Pro/ E. Because its tooth trace is conical logarithmic spiral, the paper proposes a new modeling method and successfully constructs the engagement model. Based on this, the gear dynamic contact emulation analysis is operated with ANSYS/LS-DYNA software in order to obtain stress distribution in the process of tooth contact. The tooth contact stress and tooth root bending stress magnitude, stress distribution and variation of cloud are analyzed. Contacting engineering practice, the results are in-depth study. Thus it can provide the theory basis for design and the application of this kind of new bevel gear.

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Zhang, Li Mei, and Li Xin Nie. "Research and Application on Reverse Engineering of Tooth Surfaces of Hypoid Gear." Applied Mechanics and Materials 42 (November 2010): 100–103. http://dx.doi.org/10.4028/www.scientific.net/amm.42.100.

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Reverse engineering, which is an approach for constructing a CAD model from a material solid through dimensional measurement and surface modeling, could be used to structure digitized tooth surfaces of hypoid gear. The reverse engineering of a NURBS tooth surface can be considered as specific number of curve's reverse solution, and the key is the structure of control equations and the selection of boundary conditions in each of reverse processes. According to NURBS theory, the coordinate, normal vector and various kinds of curvatures of all of points in the tooth surface can be solved. Thereupon, the engagement analysis of gear pairs can be achieved before manufacturing, and it is possible to amend manufacturing parameters in time so as to obtain tooth surfaces which meet the needs of function.

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Gromyko, P. N., S. N. Khatetovsky, and I. V. Trusov. "Influence of tooth profile on rotation error of eccentric gearing satellite." Proceedings of the National Academy of Sciences of Belarus, Physical-Technical Series 65, no. 4 (December 31, 2020): 445–52. http://dx.doi.org/10.29235/1561-8358-2020-65-4-445-452.

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In the article a cycloid internal engagement of gears that form an eccentric gearing, is considered. This engagement is investigated in point of insensitivity to assembly error. Only one type of assembly error – error of center distance i. e. eccentricity – is considered. It is expanded that workability of gearing with center distance error is provided on the assumption of decrease of diameter of roller that acts as central gear tooth. Roller diameter decrease and center distance error lead to breach of condition of conjugation of gears of eccentric gearing that in turn governs the output member rotation error. IThe output member and rotation transmission mechanism are not considered. Thus output member rotation error is equated to rotation error of eccentric gearing satellite. The influence of tooth profile on rotation error of eccentric gearing satellite is estimated when center distance error. On the base of matrix kinematic the methodology that takes in account the multiple-tooth contact is worked out. On basis of the developed methodology the research of influence of satellite tooth profiles formed on the base of shortened and extended epicycloids on rotation error is carried out. It is determined that in the eccentric gearing the use of satellite tooth profiles, formed on the base of extended epicycloid, makes it possible to decrease the rotation error. At that makes possible the operation of eccentric gearing in general manufacturing settings. Thus, the possibility of extending of eccentric gearing application fields to driving devices with higher requirements to overall sizes, mass, as well as cost, is come.

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Gromyko, P. N., S. N. Khatetovsky, and I. V. Trusov. "Influence of tooth profile on rotation error of eccentric gearing satellite." Proceedings of the National Academy of Sciences of Belarus, Physical-Technical Series 65, no. 4 (December 31, 2020): 445–52. http://dx.doi.org/10.29235/1561-8358-2020-65-4-445-452.

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In the article a cycloid internal engagement of gears that form an eccentric gearing, is considered. This engagement is investigated in point of insensitivity to assembly error. Only one type of assembly error – error of center distance i. e. eccentricity – is considered. It is expanded that workability of gearing with center distance error is provided on the assumption of decrease of diameter of roller that acts as central gear tooth. Roller diameter decrease and center distance error lead to breach of condition of conjugation of gears of eccentric gearing that in turn governs the output member rotation error. IThe output member and rotation transmission mechanism are not considered. Thus output member rotation error is equated to rotation error of eccentric gearing satellite. The influence of tooth profile on rotation error of eccentric gearing satellite is estimated when center distance error. On the base of matrix kinematic the methodology that takes in account the multiple-tooth contact is worked out. On basis of the developed methodology the research of influence of satellite tooth profiles formed on the base of shortened and extended epicycloids on rotation error is carried out. It is determined that in the eccentric gearing the use of satellite tooth profiles, formed on the base of extended epicycloid, makes it possible to decrease the rotation error. At that makes possible the operation of eccentric gearing in general manufacturing settings. Thus, the possibility of extending of eccentric gearing application fields to driving devices with higher requirements to overall sizes, mass, as well as cost, is come.

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Wang, Jian, Liang Hou, and Shan Ming Luo. "The Generation Principle and Mathematical Models of a Novel Spherical Gear Drive." Advanced Materials Research 479-481 (February 2012): 1421–28. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.1421.

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A new type of spherical gear drive, which takes micro-segment involute profile as tooth profile, is presented in this paper. The generation principle of the spherical gear is described. The mathematical models including the equation of micro-segment involute profile, the equation of the conjugate tooth profile and the engagement equation, are established based on the meshing theory. This new type of spherical gear drive has the potential to improve the load capacity and the performance of spherical gear transmission.

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Lu, Jie, Zhiqin Cai, Bin Yao, and Binqiang Chen. "A novel engagement-pixel image edge tracking method for extracting gear tooth profile edge." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 2 (September 24, 2019): 405–16. http://dx.doi.org/10.1177/0954406219878738.

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Accurate gear profile plays an important role in determining the transmission performance of gear-drive equipment. In this paper, a novel method for extracting gear tooth profile edge is presented. The presented method is based on engagement-pixel image edge tracking (EPIET) technique, and does not rely on the traditional meshing theory. An algorithm for the proposed method is put forward. Firstly, instantaneous contact images between the envelope curves of the gear profile and the instantaneous locus of the cutting tool are acquired. Secondly, pixels on the boundary of the envelope curves are lighted and the instantaneous locus coordinates of the cutting tool are calibrated. Lastly, the pixel coordinates of instantaneous meshing points are extracted, based on the fact that there is exactly one contact point per instant, and major error sources of the presented method are discussed. To verify the effectiveness of the presented method, a case study is conducted on a face gear, which is a type of complex conjugate gear, to extract its tooth profile edge. In the study, the tooth profile error and the contact line error are investigated. The results demonstrate that the presented method, without knowing complicated meshing equations, can acquire feasible accuracy and stability, compared with traditional meshing equations. It is shown that the novel method can be extended to applications of digital design of complex conjugate curved surfaces, in a simple and fast manner.

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Wu, Shifeng, and H. S. Cheng. "Sliding Wear Calculation in Spur Gears." Journal of Tribology 115, no. 3 (July 1, 1993): 493–500. http://dx.doi.org/10.1115/1.2921665.

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In gear applications where precipitous tooth failure mode such as scoring or scuffing has been avoided, “normal” wear becomes a life-determining factor. In this paper, sliding wear in spur gears, including the considerations of gear dynamics and rough-elastohydrodynamic lubrication, is analyzed. Formulas for equivalent wear rate and tooth wear profile along the line of action are derived. Results show that most materials are removed from both the addendum and dedendum tooth surfaces, and that the highest wear occurs at the beginning of an engagement. This high wear region corresponds to the root of the driving (pinion) teeth and the tip of the driven (gear) teeth. These analytical results correlate well with the practical evidences in AGMA documentation.

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Zhou, Yang, Shuang Hui Hao, and Ming Hui Hao. "The Tooth Profile Design and Examination of Circular-Arc Gear Pump." Applied Mechanics and Materials 672-674 (October 2014): 1604–7. http://dx.doi.org/10.4028/www.scientific.net/amm.672-674.1604.

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This paper presents the circular-arc tooth profile that has no trapped-oil feature and flow fluctuations. The mathematical model of tooth profile and helical surface is obtained by gear engagement theory. The examination of helical surface is by coordinate measuring machining (CMM). The sections that perpendicular to the axis direction of gear are selected to obtain the trajectory of measuring ball by the starting points and end points of measuring ball. The examination process of CMM is simulated by Matlab in this paper.

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Kurokawa, Syuhei, Yasutsune Ariura, and Toshiro Doi. "Evaluation of Pitch Deviations with Comprehensive Representation Suitable for Engagement Evaluation in Different Types of Gears." International Journal of Automation Technology 5, no. 2 (March 5, 2011): 132–37. http://dx.doi.org/10.20965/ijat.2011.p0132.

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Gear tooth flank deviations should be characterized to evaluate individual gear accuracy directly linked to gear performance during engagement. The comprehensive pitch deviation representation we propose is calculated using multiple tooth flank surface deviations as 0-order form deviations. In this representation, pitch error is expressed by angle unit, not by length unit, and calculated from measured conventional deviation (profiles and leads) withoutmeasuring pitch deviation. For spur and helical gears, pitch deviation is expressed by a single length unit and also by a single angle unit. On the other hand, for bevel gear flank, pitch deviation expressed by length unit consists of many different values even on a single flank. Using the angle unit expression, form deviation is described exactly by a single parameter. The comprehensive representation we propose overcomes the disadvantages of conventional pitch deviation evaluation, going right to the point of gear engagement evaluation.

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Cvetanov, Genadi, and Tsanko Karadzhov. "CONSEQUENCES OF THE BASIC LAW OF FLAT INTERLOCKING OF INVOLUTE CYLINDRICAL GEARS." ENVIRONMENT. TECHNOLOGIES. RESOURCES. Proceedings of the International Scientific and Practical Conference 3 (June 16, 2021): 54–57. http://dx.doi.org/10.17770/etr2021vol3.6576.

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Three consequences based on the basic law of the flat interlocking have been determined that allow the generation of asymmetric tooth profile on different poloidal circles. Gears with asymmetric profile are used in both mechanical engineering and measuring devices. Qualitative indicators of engagement that cannot be accomplished with a symmetric profile have been developed. A specific example of generation III has been presented. The qualitative indicators of engagement, which are invariant to the parameters of the tool, have been improved.

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Onishchenko, Valentin. "Tooth wear modeling and prognostication parameters of engagement of spur gear power transmissions." Mechanism and Machine Theory 43, no. 12 (December 2008): 1639–64. http://dx.doi.org/10.1016/j.mechmachtheory.2007.12.005.

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KONDO, Koshi, and Jun TAKADA. "Study on wave gear drives. 1st report Kinematics and geometry of tooth engagement." Transactions of the Japan Society of Mechanical Engineers Series C 52, no. 481 (1986): 2456–62. http://dx.doi.org/10.1299/kikaic.52.2456.

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Wu, Xiu Hai, and Wen Hua Chen. "Study on the Screw Rotor Profile of Non-Leakage Dry Screw Vacuum Pump." Applied Mechanics and Materials 321-324 (June 2013): 67–70. http://dx.doi.org/10.4028/www.scientific.net/amm.321-324.67.

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Through mathematical derivation based on screw engagement theory, the complete equations of the rotor profile with single thread, fixed pitch screws, trapezium and concave tooth surface were given. The end face profile of the pair screw rotor is conjugate and identical. The pair screw rotor form a meshing relationship by left hand and right hand. Finally, through modeling and simulation of meshing process by PRO/ENGINEER software, the profile equation is proved to be correct, the meshing line is completed, and operating the tooth surface interference does not occur in the course of meshing process.

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Hu, De Ji, Qing Guo Meng, and Wei Zhao. "Research on the CNC Machining Simulation Model Build and Realize Based on the Spiral Bevel Gear with Forming Method." Advanced Materials Research 146-147 (October 2010): 770–74. http://dx.doi.org/10.4028/www.scientific.net/amr.146-147.770.

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In view of the spiral bevel gear machined by the semi-generating means, a new method to create 3D solid model is proposed. The equation of tooth profile surface is deduced from the principles of spiral bevel gear engagement and cutting, according to the position relationship of the machine tool, the cutting tool and the workpiece, along with the cutting tooth process. Then the three-dimensional solid model of spiral bevel gear is developed with the delphi program using the known parameters and the above mathematic equations. The effectiveness of this method has been demonstrated.

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Kondo, K., and J. Takada. "Study on Tooth Profiles of the Harmonic Drive." Journal of Mechanical Design 112, no. 1 (March 1, 1990): 131–37. http://dx.doi.org/10.1115/1.2912570.

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The present paper deals with an analysis of the kinematics and geometry of the tooth engagement of the harmonic drive, and presents a new method for determining tooth profiles of the harmonic drive. First, two assumptions are set up: (1) Though there is relative motion among the respective teeth of the flexspline during flexing, the individual teeth themselves can be considered to be rigid. (2) The pitch between the respective teeth of the flexspline is constant on the neutral line. Experiments confirm the existence of a neutral line along the flexspline rim which maintain the same length as that prior to bending. Then, tooth profiles of the circular spline and the flexspline are determined according to the theory of gear mechanism that the common tooth normal at the meshing point passes through the pitch point. The analysis is carried out in a plane mechanism.

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Wei, Yan Gang, Shi Dong Dai, and Xiu Juan Zhang. "Finite Element Analysis of Contact Stress in the Meshing Process for Internal Gear Pairs with Few Teeth Difference." Key Engineering Materials 568 (July 2013): 97–102. http://dx.doi.org/10.4028/www.scientific.net/kem.568.97.

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The models of finite element analysis are established reasonably after combining the principle of gear engagement, contact mechanics, and finite element concept and method. Simulations are made for the meshing process of the internal gear pairs with few teeth difference using finite element method. Tooth contact area, contact position, and the distribution principles of contact stress along the direction of tooth depth are studied. The main effect factors on the maximum contact stress are analyzed. It is found out that the effect of cusp contact along the tooth profiles may be generated in the meshing process of the internal gear pairs with few teeth difference. The complexity of multi-pair teeth meshing effect during the meshing process is pointed out.

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Hamidon, Roshaliza, Erry Y. T. Adesta, and Muhammad Riza. "Preliminary Study: The Effect of Tool Engagement and Cutting Speed on Cutting Temperature during Contour Tool Path Strategy." Advanced Materials Research 1115 (July 2015): 86–89. http://dx.doi.org/10.4028/www.scientific.net/amr.1115.86.

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In pocketing operation for mold and die, the variation of tool engagement angle causes variation in the cutting force and also cutting temperature. The objective of this study is to investigate the effect of tool engagement on cutting temperature when using the contour in tool path strategy for different cutting speeds. Cutting speeds of 150, 200 and 250m/min, feedrate from 0.05, 0.1, 0.15 mm/tooth and depths of cut of 0.1, 0.15 and 0.2 mm were applied for the cutting process. The result shows that by increasing cutting speed, the cutting temperature would rise. Varying the tool engagement also varied the cutting temperature. This can be seen clearly when the tool makes a 90oturn and along the corner region. Along the corner, the engagement angle varies accordingly with the radial depth of cut.

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Yu, Yongquan, Chao Lin, and Yanan Hu. "Tooth bending stress analysis of high speed curve face gear of composite transmission." Mechanics & Industry 22 (2021): 20. http://dx.doi.org/10.1051/meca/2021021.

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To promote the engineering application of composite transmission of high speed curve face gear, which consists of a cylindrical gear and a high speed curve face gear, the analysis of tooth bending stress should be taken into consideration. High speed curve face gear pair is a new type of curve face gear pair. Combined with the principle of high speed cam and curve face gear pair transmission, it can transfer the axial/rotation composite motion and power between two intersecting shafts. Based on the gear engagement principle, the gear meshing coordinate system was established and the fundamental of the high speed composite transmission was expounded. Combined with the tooth profile equation of generating gear, the tooth surface equation of high speed curve face gear was gained. Tooth force, contact ratio and normal load distribution were calculated. Then the tooth bending stress of high speed curve face gear during the transmission was calculated and analyzed in detail. Influence of basic parameters on tooth bending stress was discussed. Finally, the simulation and measurement experiment of tooth bending stress was carried out. By the comparison analysis of simulation, experiment and theory, the correctness of tooth bending stress calculation method was verified, which has important guiding significance for the further research of high speed curve face gear of composite transmission.

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Wang, Kai, Jin Yao, Jueling Wang, Jinge Wang, and Xingqiao Deng. "Theoretical Research on Load Capacity of Double-Roller Enveloping End Face Engagement Worm Gear." Open Mechanical Engineering Journal 8, no. 1 (December 31, 2014): 967–73. http://dx.doi.org/10.2174/1874155x01408010967.

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The calculation of load capacity is the key problem of worm's analysis. Taking the double-roller enveloping end face engagement worm gear as an example, a method for the numerical analysis of capacity was proposed based on finite element theory and fatigue analysis. Based on the meshing theory, the meshing equation was derived, and the accurate mathematical model for tooth surface of worm gear was established. Then the finite element modeling of worm gear was to analyze the contact stress and stress-strain effect. Finally, applying the safe life calculation method, the factors of fatigue life of worm gear were analyzed and researched. The researched result indicate that the worm gear has a quite good mesh performance when the worm meshing teeth have eight pairs. Under the same condition, with the analysis of the model's strength and finite elements performed, it was confirmed that the load capacity of end face engagement worm gear has an obvious improvement by comparison of that of enveloping hourglass worm gear, further, the maximum tooth root stress was only 6.5% of enveloping hourglass worm'. Meanwhile, the load distribution is in a declining invert L shape. And the fatigue life of end face engagement of worm gear pair could be attained 10 cycles. Therefore, this study results provided the theoretical basis and industrial applications value for transient analysis of end face engagement of worm gear and manufacturing constantly in the future.

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Li, Yan Bin, Hong Gao, Tong Jiang, and Ren Song Zou. "Study on Ausform Finishing Process and Gear Tooth Deformation for Hardened Gears." Applied Mechanics and Materials 217-219 (November 2012): 2083–87. http://dx.doi.org/10.4028/www.scientific.net/amm.217-219.2083.

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An ausform finishing process that integrates heat treatment, rolling finishing and hardening of steel components into single on-line manufacturing operation is discussed in this paper ,with the gear steel 20CrMo which is widely used in auto and precise machine industry as a example .the tooth engagement process is modeled ,and the formulas for calculating deformation are deduced.

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Stanciu, Dănuţ, and Gheorghe Ion Gheorghe. "Methods of Determining Sock Values and the Distance Between Axes of the Gearboxteething Using a Fitted Tooth Engagement." Scientific Bulletin of Valahia University - Materials and Mechanics 15, no. 13 (October 1, 2017): 48–52. http://dx.doi.org/10.1515/bsmm-2017-0017.

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AbstractThere are several constructive variants of devices built for complex control of engagement on both sides aimed at controlling both internal and external shocks, all of which featuring a standard wheel compound. By the method of forced tooth engagement fitted between the standard wheel and the measuring wheel and using the spectral analysis, constructive errors of the gear wheels can be quickly determined, especially those consisting in shocks and the variation of the distance between the axes, errors that severely impact on operation. At the National Institute of Research and Development in Mechatronics and Measurement Technique was developed a device used to control shock values and the distance between the axis of the gearboxes (for four of the gearbox speeds) by means of forced engagement and complex harmonic analysis.

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Kočiško, Marek, Petr Baron, Monika Telíšková, Jozef Török, and Anna Bašistová. "Research into Correlation between the Lubrication Mode of Contact Surfaces and Dynamic Parameters of Turbo-Generator Transmissions." Advances in Materials Science and Engineering 2019 (October 9, 2019): 1–10. http://dx.doi.org/10.1155/2019/8148697.

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The paper presents the results of an experimental study aimed at assessing the correlation between the measurement of dynamic parameters (vibration, high-frequency vibration, and acoustic emission) and the analysis of friction mode and the state of lubrication of the contact surfaces of two gearboxes in the turbo-generator assembly (high-speed single-body steam turbine—gearbox—generator) with the transmission power of no more than 50 MW. The analysis confirmed the assumption of a significant correlation of the monitored high-frequency vibration signal with the unsatisfactory engagement of the gear teeth. Through vibration analysis, an increased level of the tooth vibration component and vibration multiples with increased acoustic emission were identified in gearbox operation. The gear oil of one of the gearboxes examined showed a loss of additive elements in the real operation of the contact surfaces of the teeth engagement. The trend analysis confirmed the complexity of the monitored transmission operation in terms of the friction mode and the influence of the oil quality on the state of the tooth flank microgeometry.

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Journal articles on the topic 'Tooth engagement'

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