Academic literature on the topic 'Tooth engagement'

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Journal articles on the topic "Tooth engagement"

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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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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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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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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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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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Dissertations / Theses on the topic "Tooth engagement"

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Robins, Robert R. "Tooth Engagement Evaluation of Involute Spline Couplings." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2605.pdf.

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De, Caires Brian J. "Variation Analysis of Involute Spline Tooth Contact." BYU ScholarsArchive, 2006. https://scholarsarchive.byu.edu/etd/375.

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The purpose of this thesis is to provide an in-depth understanding of tooth engagement in splined couplings based on variations in clearances between mating teeth. It is standard practice to assume that 25-50% of the total spline teeth in a coupling are engaged due to variations from manufacture. Based on the assumed number of teeth engaged, the load capability of a splined coupling is determined. However, due to the variations in tooth geometry from manufacuture, the number of teeth actually engaged is dependent on the applied load and the tooth errors. The variations result in sequential tooth engagement with increasing load. To date, little work has been done to model tooth engagement and the stresses resulting from unequal load sharing among engaged teeth. A Statistical Tooth Engagement Model (STEM) has been developed which allows designers to estimate tooth engagement and resulting stress based on a statistical representation of the tooth errors. STEM is validated with finite element models as well as some preliminary experimental tests. Parametric studies are performed to determine the effect and sensitivities of variations in tooth parameters and tooth errors.
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Dalling, Ryan R. "An Investigation of Positive Engagement, Continuously Variable Transmissions." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2391.pdf.

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Hojjati, Mohammad Hassan. "Tooth engagement behaviour of timing belts : experimental and finite element studies of interaction between an automotive HTD timing belt and pulley." Thesis, University of Leeds, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.419293.

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Pykal, Vojtěch. "Výpočtové modelování dynamiky záběru čelního ozubeného soukolí v prostředí MBS." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-445163.

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This master’s thesis is focused on the compilation of a computational modelling of gear mesh engagement dynamics of a spur gear by MBS approach. The user input is the specific geometry of gears, the operating speed, and the load torque. The output are the forces in the gear engagement and the reaction of the forces in the wheel bearings depending on the change in the stiffness of the gear due to the changing number of teeth in the engagement and the change in the axial distance. This model is characterized by a fast and relatively accurate calculation in the time domain. This means that it can react to changes in parameters during simulation such as axial distance, speed, and torque.
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Book chapters on the topic "Tooth engagement"

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Bagaiskov, Yu. "Optimization Criteria for Modeling of Gear Hone Tooth Engagement and Processed Gear in Terms of Specific Sliding and Contact Pattern Size." In Lecture Notes in Mechanical Engineering, 938–45. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-54817-9_108.

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Kubo, A. "Crush of wear debris by tooth engagement and tooth flank damage." In International Gear Conference 2014: 26th–28th August 2014, Lyon, 825–35. Elsevier, 2014. http://dx.doi.org/10.1533/9781782421955.825.

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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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Morrish, I. "Getting more out of existing sensors: control algorithms to measure true torque, backlash and tooth position to achieve higher shifting comfort and safe dog clutch engagement." In Dritev – Drivetrain For Vehicles 2018, III—93—III—104. VDI Verlag, 2018. http://dx.doi.org/10.51202/9783181023280-iii-93.

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Conference papers on the topic "Tooth engagement"

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Kurokawa, Syuhei, and Yasutsune Ariura. "Measurement of Tooth Pair Deflections With Ultra High Resolution Encoders and Prediction of Transmission Error Under Load in High Precision." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34064.

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The purpose of this research is to predict transmission error under loading conditions in high accuracy. Transmission error is very important information in the evaluation of gear engagement and the prediction of vibration and noise from gear boxes. In some experiments, measurement of transmission error is sometimes performed to grasp an actual situation of gear static engagement. However, it is impossible to measure all of gear pairs in mass production for actual transmission manufacturers. The prediction of transmission error by the simulation in high accuracy should be powerful and effective means in application. The most important and indispensable information to simulate accurate transmission error under load is the deflection of a gear tooth and the displacement in tooth pair contact. One of conventional approaches is to predict bending deflections with FEM analysis. However it is very difficult to calculate the deflections in high accuracy by FEM because of less grid density, inadequate constraint conditions, the lack of information of actual loading conditions, and so on. To overcome the difficulty, the authors try to measure tooth pair deflections directly by experiments using a couple of ultra high precision encoders. The measurement strategy is to obtain the deflection of only single tooth pair during a whole period of tooth engagement. It can be achieved by use of a specially manufactured gear which has large and intentional pitch deviations. Experimental formulas of gear tooth pair deflections are derived from measured results. Putting assumption that tooth deflections with respect to applied loads can be expressed approximately as a curve of the second order, the stiffness of single-tooth engagement is evaluated. Transmission error is simulated with the obtained formula of the tooth stiffness and the result is compared with the measured transmission error and discussed.
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Yu, Guangbin, Yuxiang Shi, Wei Wang, and Guixian Li. "Meshing Theory and Simulation of Noninvolute Beveloid Gears With Crossed Axes." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35182.

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Based on the space engagement theory, a special type of non-involute beveloid gears meshing with line contact between crossed axes 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 in this paper. The changes of these errors and the main factors have been studied. As a numerical example, the three-dimensional simulation of beveloid gears between crossed axes has been finished by means of the CAD system, Pro/Engineer. A new way of gear tooth modification is developed based on the space engagement theory for the first time in this paper. By improving the wheel gear grinder of large plane grinding, the paper has provided the tooth modification method of manufacturing noninvolute beveloid gears meshing with line contact between crossed axes. Finally, an example and its calculation results are presented.
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Andersen, Brian S., Ryan R. Dalling, and Robert H. Todd. "A Survey of Positive Engagement, Continuously Variable Transmissions." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34856.

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A continuously variable transmission (CVT) is a type of transmission that allows an infinitely variable ratio change within a finite range, allowing the engine to continuously operate in an efficient or high performance range. A brief history of CVT’s is presented, including the families under which they can be categorized. A new family of CVT’s, with the classification of positive engagement, is presented. Three different published embodiments of CVT’s of the positive engagement type are presented describing a meshing problem that exists apparently regardless of the embodiment in this family. The problem is called the non-integer tooth problem and its occurrences are detailed in each of the three embodiments. Specific solutions to the problem, as embodied in each case, are presented. Two additional embodiments of the positive engagement type are also presented for comparison. These last embodiments rely on less efficient methods of power transmission but are not subject to the non-integer tooth problem.
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Dong, Huimin, Delun Wang, and Kwun-Lon Ting. "Elastic Kinematic and Geometric Model of Harmonic Gear Drives." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-50046.

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The paper presents the first elastic meshing law and spatial elastic conjugation tooth profile for harmonic gear drives. The kinematics and geometry of harmonic drives that have a cup-type flexible spline with an oval wave generator is investigated. The deformation function of the neutral layer of a flexspline is investigated and calculation example is taken by non-linear finite element software. The mathematic model of kinematics of harmonic drive is set up, in which the spatial deformation of a flexspline is separated into a set of deformed curves on the cross sections vertical to the axis. Thus, the spatial engagement in harmonic drive can be visualized as a set of planar engagement. The properties of the instant center and the centrodes of the flexspline tooth relative to the circular spline are studied. The phenomenon of twice engagement at one tooth point of circular spline is found for the first time. The planar gearing engagement and the instant center equation are analyzed and a vigorous spatial elastic conjugation theory is provided for harmonic gear drive.
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Talbert, Paul B., and Richard R. Gockel. "Modulation of Gear Tooth Loading Due to Traveling Wave Vibration." 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-48029.

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The first reduction gear set in a turboprop engine gearbox was changed from a spur configuration to helical in order to reduce dynamic load and tooth stress. During initial strain gage testing, a low frequency modulation (approximately 70 Hz) of the tooth engagement strain was observed. The modulation had not been present during previous strain gage tests of the gears in their original spur configuration. The expected decrease in dynamic load and tooth stress was not realized due to the low frequency modulation. Post test inspection revealed indications of end loading on both the forward and aft ends of the gear teeth. Additionally, a 22/rev standing wear pattern developed on the aft face of the bull gear rim where it contacts the high-speed pinion bearing thrust collar. Detailed analysis of the strain gage data coupled with traveling wave theory identified the source of the modulation as 19/rev response of a forward traveling three nodal diameter mode of the bull gear at approximately 2,500 Hz. An analytical simulation of the high-speed pinion tooth mesh multiplied by a signal representing a forward traveling three nodal diameter response of the bull gear exactly matched the observed modulation. Design-of-experiment engine tests using proximity probes to measure bull gear vibration identified improper contact at the bull gear thrust collar as the excitation of the three nodal diameter mode. A verification strain gage test with proper contact showed no modulation in tooth engagement.
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Wei, Jing, Shaoshuai Hou, Aiqiang Zhang, and Chunpeng Zhang. "An Improved Model for Calculating the Mesh Stiffness of Helical Gears." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97191.

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Abstract Time-varying mesh stiffness (TVMS) is one of the important internal excitations of gear transmission systems. Accurate solution of meshing stiffness is the key to research the vibration response of gear transmission system. In the traditional analytical method (TAM), the TVMS of single-teeth engaged region consist of bending, shearing, axial compression deformation stiffness, fillet-foundation stiffness, and Hertzian contact stiffness, the TVMS of double-tooth engaged region is the sum of the single-tooth engaged region, which will lead to repeated calculation of the fillet-foundation stiffness. In order to overcome this shortcoming, considering the coupling effect between two pairs of meshing tooth, an improved method of fillet-foundation is adopted to calculate to TVMS of each slice gear. According to the ‘slicing method’, the helical gear is divided into slice gear. Considering the coupling effect of each slice gear, the TVMS of helical gear can be obtained. The improved analytical method (IAM) is verified by comparing with finite element method (FEM) and TAM. Based on the IAM, the effects of the helical angle, face width, the number of gear, and modification coefficient on the mesh characteristics are analyzed. The results show that the IAM is consistent with the FEM and also consistent with TAM in single-tooth engagement. However, there is obviously error with the TAM in double-tooth or multi-tooth engagement.
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Tsuji, Isamu, Hiroshi Gunbara, Kazumasa Kawasaki, and Akiyasu Takami. "Machining and Running Test of High-Performance Face Gear Set." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48824.

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The purpose of this research is to develop a high-performance face gear set for aircraft. The geometrical design method of the face gear has already been proposed, and how to decide an effective engagement area under the design parameter has been clarified. A numerical example is presented based on the proposed method. Before machining test, the modified-tooth was decided by the developed Tooth Contact Analysis (TCA) program in order to control the tooth contact pattern. The influence of alignment error of each axis of gear was investigated using TCA. The designed modified-tooth was processed by the Multi-Tasking machine. Finally, running test was performed at a pinion rotating speed of 970 rpm. The face gear set can be operated continuously at an maximum load torque 1390 N · m, without any trouble. The transmission efficiency reached 98.9% under maximum load torque. This cutting method of the face gear introduces a new degree of freedom for defining optional shapes of tooth modification.
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Zhou, Changjiang, Jinyuan Tang, and Zhihua Zhong. "Research on Superimposed Effect of Root Stresses and Teeth Compliance Considering Multi-Teeth Meshing." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35016.

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Based on gear engagement principle, the exact curve of tooth profile is produced. By the method for compositing and modeling with MATLAB and APDL, the precise FEM model of gear is built, considering major factors of effecting root stresses and teeth compliance. Comprehensive stiffness including bending and contact stiffness is calculated during one meshing cycle. The load sharing ratio of an appointed tooth is reached, the equations of load-hist along line of action are deduced. Considering superimposed effect of engaging force in multi-teeth meshing zone, regularities of distribution of root stresses and teeth compliance in a normal meshing cycle are get. The results show that stress superimposed effect caused by adjacent meshing tooth influences compression side of the tooth is more than tension one, and makes the maximum deflection of the appointed tooth bigger. Finally, the results developed by authors show reliable, in comparison with the ones given according to authoritative methods.
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Krisch, Robert. "Investigation of the Meshing Conditions of a Flat Wheel Harmonic Gear Drive." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34059.

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The function principle of the flat wheel harmonic gear drive is similar to the basic principle of the classical harmonic drives. The flexible and the solid gear of the drive are coaxial flat wheels. The rotating wave generator deforms periodically and elastically different portions of an annular face gear on the flexible member in axial direction into engagement with teeth on an annular face gear on the solid member. The numbers of teeth of the face gears are different. An analytical method is introduced, that investigates meshing conditions of flat-wheel harmonic drives. The numbers of the connected teeth taking part in the load-transmission and the tangential component of the acting force on them in the range of tooth engagement are calculated. It depends on the loading torque, so calculations were launched at different levels of torques in case of various parameters. The tooth flanks were approximated by planes. Results are compared with the results of calculations based on finite element analyses.
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Wasfy, Tamer M., and Michael J. Leamy. "Dynamic Modeling of Synchronous Belt-Drives Using an Explicit Finite Element Code." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85103.

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Abstract:
A time-accurate explicit time-integration finite element code is used to simulate the dynamic response of synchronous belts-drives. The belt is modeled using beam or truss elements. The sprockets are modeled as cylindrical rigid bodies. Normal contact between the belt and a sprocket is modeled using the penalty technique and friction is modeled using an asperity-based approximate Coulomb friction model. The belt teeth/grooves are assumed to be located at the belt nodes (every fixed number of belt nodes). The nodes in-between teeth are subjected to the normal contact and tangential friction forces. The belt and sprocket teeth are assumed to be trapezoidal. The equivalent belt-sprocket tooth stiffness and damping coefficients in the normal tooth contact direction are used to calculate a normal tooth contact force at the belt teeth nodes. The tooth contact model also includes the effect of the tooth engagement tolerance. For validation purposes, a two-sprocket drive is modeled and a comparison is made between tooth loads predicted by the finite element model and experimental data available in the literature. Reasonable agreement between the simulation and experimental results is found of the drive’s tooth loads. Also, the dynamic response of a hybrid sprocket – flat pulley belt-drive is studied.
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