Relevant bibliographies by topics / Meshing; Gear mesh stiffness

Contents

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

Academic literature on the topic 'Meshing; Gear mesh stiffness'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "Meshing; Gear mesh stiffness"

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Cui, Lingli, Tongtong Liu, Jinfeng Huang, and Huaqing Wang. "Improvement on Meshing Stiffness Algorithms of Gear with Peeling." Symmetry 11, no. 5 (2019): 609. http://dx.doi.org/10.3390/sym11050609.

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This paper investigates the effect of a gear tooth peeling on meshing stiffness of involute gears. The tooth of the gear wheel is symmetric about the axis, and its symmetry will change after the gear spalling, and its meshing stiffness will also change during the meshing process. On this basis, an analytical model was developed, and based on the energy method a meshing stiffness algorithm for the complete meshing process of single gear teeth with peeling gears was proposed. According to the influence of the change of meshing point relative to the peeling position on the meshing stiffness, this
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Zhang, Donglin, Rupeng Zhu, Bibo Fu, and Wuzhong Tan. "Mesh Phase Analysis of Encased Differential Gear Train for Coaxial Twin-Rotor Helicopter." Mathematical Problems in Engineering 2019 (July 25, 2019): 1–9. http://dx.doi.org/10.1155/2019/8421201.

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Dynamic excitation caused by time-varying meshing stiffness is one of the most important excitation forms in gear meshing process. The mesh phase relations between each gear pair are an important factor affecting the meshing stiffness. In this paper, the mesh phase relations between gear pairs in an encased differential gear train widely used in coaxial twin-rotor helicopters are discussed. Taking the meshing starting point where the gear tooth enters contact as the reference point, the mesh phase difference between adjacent gear pairs is analyzed and calculated, the system reference gear pair
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Muhammad, Arif Abdullah, and Guang Lei Liu. "Time Varying Meshing Stiffness of Cracked Sun and Ring Gears of Planetary Gear Train." Applied Mechanics and Materials 772 (July 2015): 164–68. http://dx.doi.org/10.4028/www.scientific.net/amm.772.164.

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The time varying meshing stiffness of normal and cracked spur gears of planetary gear train is studied by applying the unit normal forces at mesh point on the face width along the line of action of the single gear tooth in FE based software Ansys Workbench 14.5. The tooth deflections due to the applied forces at one mesh point are noted and a deflection matrix is established which is solved using Matlab to get net deflection and finally the meshing stiffness of gear tooth at particular mesh point. The process is repeated for other mesh points of gear tooth by rotating it to get meshing stiffne
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Yin, Jiao. "Analysis of Gear Static Transmission Error and Mesh Stiffness." Applied Mechanics and Materials 365-366 (August 2013): 327–30. http://dx.doi.org/10.4028/www.scientific.net/amm.365-366.327.

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In this paper, the object of study is one pair increasing gear with building a two-dimensional plane model in ANSYS. According to the gears meshing theory, considering the gear deformation, solve the static transmission error and the gear mesh stiffness in different conditions. The influence of the centre errors on static transmission error and mesh Stiffness are basis for modal analysis based on the mesh stiffness of gear and unbalanced harmonic response.
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Huo, Chun Jing, Hui Liu, Zhong Chang Cai, and Ming Zheng Wang. "Non-Linear Vibration Modeling and Simulation of a Gear Pair Based on ADAMS and Simulink." Advanced Materials Research 681 (April 2013): 219–23. http://dx.doi.org/10.4028/www.scientific.net/amr.681.219.

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To set up the virtual prototype of a gear train system in the dynamic analysis software ADAMS, the torsional vibration model of a gear pair was transformed into an equivalent transmission model in which a multi-body model was established in ADAMS and its meshing force solution model was established in Simulink. The time-varying mesh stiffness, gear clearance, meshing errors and other non-linear factors can be included in the gear meshing feedback model, more importantly, the influence of gear speed fluctuation on the time-varying mesh stiffness was taken into consideration. The simulation resu
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Wang, Feng, Zong De Fang, and Sheng Jin Li. "Nonlinear Dynamic Analysis of Helical Gear Considering Meshing Impact." Applied Mechanics and Materials 201-202 (October 2012): 135–38. http://dx.doi.org/10.4028/www.scientific.net/amm.201-202.135.

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Comprehensive meshing stiffness and single tooth meshing stiffness are calculated by tooth contact analysis and load tooth contact analysis program. The corner meshing impact model is proposed. Nonlinear dynamic model of helical gear transmission system is established in this paper considering time-varying meshing stiffness excitation, transmission error excitation, corner meshing impact excitation, and the backlash excitation. Take the ship’s helical gear transmission system as an example, the mesh impact force is derived and the primary factors that produce noises are discussed. The effects
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Wang, J., and I. Howard. "The torsional stiffness of involute spur gears." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 218, no. 1 (2004): 131–42. http://dx.doi.org/10.1243/095440604322787009.

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This paper presents the results of a detailed analysis of torsional stiffness of a pair of involute spur gears in mesh using finite element methods. Adaptive meshing has been employed within a commercial finite element program to reveal the detailed behaviour in the change over region from single- to double-tooth contact zones and vice versa. Analysis of past gear tooth stiffness models is presented including single- and multitooth models of the individual and combined torsional mesh stiffness. The gear body stiffness has been shown to be a major component of the total mesh stiffness, and a re
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Hu, Yu Mei, De Shuang Xue, and Yang Jun Pi. "Effect of Friction Coefficient on the Stiffness Excitation of Gear." Applied Mechanics and Materials 86 (August 2011): 713–16. http://dx.doi.org/10.4028/www.scientific.net/amm.86.713.

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This study addresses the effect of different friction coefficients on the stiffness excitation of gear using finite element technique. Firstly, the simulation model of single pair of gear teeth mesh is established, and the effect of friction coefficient on the composite stiffness values of the teeth meshing is studied. After that, simulation model of multiple pairs of gear teeth meshing is created and the normal load distributions under different friction coefficients in a single meshing cycle are calculated using quasi-static calculation method. Finally, the relationship between friction coef
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Xu, Xiangyang, Hongwei Ge, Jijun Deng, Jibo Wang, and Renxiang Chen. "An investigation on dynamic characteristics of herringbone planetary gear system with torsional flexibility between the left and right teeth of the sun gear." Mechanics & Industry 21, no. 6 (2020): 602. http://dx.doi.org/10.1051/meca/2020074.

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Herringbone planetary gear system (HPGS) has high power density and complex structure. The torsional flexibility of the left and right teeth of the sun gear is closely related to the dynamic characteristics of the HPGS. In this research, considering the coordination conditions of both sides torsional stiffness and axial slide of the sun gear, a new dynamic model of the HPGS considering the meshing phase difference between left and right teeth of the sun gear is developed based on the lumped-parameter method, and the influence mechanism of torsional stiffness and axial sliding is studied. Moreo
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Lin, Jian, and Robert G. Parker. "Mesh Stiffness Variation Instabilities in Two-Stage Gear Systems." Journal of Vibration and Acoustics 124, no. 1 (2001): 68–76. http://dx.doi.org/10.1115/1.1424889.

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Mesh stiffness variation, the change in stiffness of meshing teeth as the number of teeth in contact changes, causes parametric instabilities and severe vibration in gear systems. The operating conditions leading to parametric instability are investigated for two-stage gear chains, including idler gear and countershaft configurations. Interactions between the stiffness variations at the two meshes are examined. Primary, secondary, and combination instabilities are studied. The effects of mesh stiffness parameters, including stiffness variation amplitudes, mesh frequencies, contact ratios, and
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Dissertations / Theses on the topic "Meshing; Gear mesh stiffness"

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Yao, ShiPing. "Modelling and simulation of vibration signals for monitoring of gearboxes." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.301653.

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Mehdi, Pour Reza. "Transmission DynamicsModelling : Gear Whine Simulation Using AVL Excite." Thesis, KTH, Fordonsdynamik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-243090.

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Nowadays, increasing pressure from legislation and customer demands in the automotive industry are forcing manufacturers to produce greener vehicles with lower emissions and fuel consumption.As a result, electrified and hybrid vehicles are a growing popular alternative to traditional internal combustion engines (ICE). The noise from an electric vehicle comes mainly from contact between tyres and road, wind resistance and driveline. The noise emitted from the driveline is for the mostpart related to the gearbox. When developing a driveline, it is a factor of importance to estimate the noise rad
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Mehdi, Pour Reza. "Transmission Dynamics Modelling : Gear Whine Simulation Using AVL Excite." Thesis, KTH, Fordonsdesign, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-234817.

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Nowadays, increasing pressure from legislation and customer demands in the automotive industryare forcing manufacturers to produce greener vehicles with lower emissions and fuel consumption.As a result, electrified and hybrid vehicles are a growing popular alternative to traditional internalcombustion engines (ICE). The noise from an electric vehicle comes mainly from contact betweentyres and road, wind resistance and driveline. The noise emitted from the driveline is for the mostpart related to the gearbox. When developing a driveline, it is a factor of importance to estimatethe noise radiati
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Jayasankaran, Kathik. "STRUCTURE-BORNE NOISE MODEL OF A SPUR GEAR PAIR WITH SURFACE UNDULATION AND SLIDING FRICTION AS EXCITATIONS." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1269451200.

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Gazda, Silvester. "Výpočtové modelování tuhosti záběru ozubených kol." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2017. http://www.nusl.cz/ntk/nusl-318524.

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This master's thesis deals with the design of FEM model of gear pair with an intention to find out how stiffness changes during meshing. It firstly describes the necessary knowledge needed to analyse the problem, like the geometry of an involute tooth and evaluation of meshing stiffness. Followed by a description of work procedures from the creation of models through settings of mesh, contacts and analysis to evaluating of results.
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Planka, Michal. "Využití neuronových sítí pro výpočet průběhu záběrové tuhosti soukolí s čelními ozubenými koly." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2017. http://www.nusl.cz/ntk/nusl-318391.

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The aim of this master's thesis is to build artificial neural network that is able to calculate varying single tooth-pair mesh stiffness of spur gear for given input parameters. The training set for this network was determined by computational modelling by finite element method. Therefore, creating of computational model and mesh stiffness calculating were a partial aim of this thesis. Input parameters for stiffness calculation were number of driving and driven gear teeth and gear loading. Creating of computational model and performing series of simulations was followed by creating artificial
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Oudich, Hamza. "Analytical Investigation of Planetary Gears Instabilities and the Impact of Micro-Macro Geometry Modifications." Thesis, KTH, Farkostteknik och Solidmekanik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-276775.

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Due to their large torque-speed ratio and transmission efficiency, planetary gears are widely used in the automotive industry. However, high amplitude vibrations remain their critical weakness, which limits their usage especially when new strict noise legislations come into action. A new approach to handle the instability problems of planetary gears encountered in real industrial context is presented in this work. First, the dynamic response of a planetary gear failing to pass the noise regulations is theoretically investigated through an analytical model. The equations of motion were solved u
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Lin, Jhao-wei, and 林兆偉. "Analysis of the Mesh Stiffness and Vibration of a Spur Gear Pair." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/13964418738100480146.

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碩士<br>國立中央大學<br>機械工程研究所<br>100<br>The purpose of this research is to investigate the dynamic characteristics of a spur gear pair and to study the effects of tooth crack on the dynamic response. The gear dynamic model is developed by a lumped parameter method for the vibration response. The mesh stiffness between two gears is calculated by using a finite element software – ANSYS. Then, the equations of motion are solved by using Runge-Kutta method. The features of dynamic signals for the crack in a tooth are found.
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Wu, Sheng Lin, and 吳昇霖. "The Effects of Bearing Stiffness on Nonlinear Dynamic Behaviors of Multi-Mesh Gear Train." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/33067020701510520015.

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碩士<br>國立中正大學<br>機械工程學系暨研究所<br>99<br>This study discusses bearing stiffness effect on the multi-tooth system.First,the gear profile with modification coefficient by using rack cutter is proposed and the mesh stiffness at the position along the line of action is calculated.Final,the time-varying mesh stiffness into the system of equations of motion and use the Runge-Kutta method in the system, discuss different bearing stiffness on nonlinear dynamic behavior of gear system. The results show, from low speed to high speed of the system , if the bearing stiffness is 10^10 and 10^12N/mm , that bear
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Yang, I.-Lin, and 楊宜霖. "Nonlinear Dynamic Analysis of Geared System with Time-Dependent Gear Mesh Stiffness Using Rack Cutter." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/13419728619668052053.

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碩士<br>國立中正大學<br>機械工程所<br>96<br>The analysis of the mesh stiffness in the nonlinear dynamic gear train was simulated by applying mathematical technique such as Fourier series, rectangular wave function. However, the error always exists between practical experience and mathematical technique. This study is focused on the involute tooth profile of generation of the rack cutter and evaluated the mesh stiffness by using tooth profile. Furthermore, the effect of the mesh stiffness affected the non-linear dynamic behavior of the gear train. The generated parameters of the rack cutter included line an
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Book chapters on the topic "Meshing; Gear mesh stiffness"

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de Carvalho, Áquila Chagas, Fabio Mazzariol Santiciolli, Samuel Filgueira da Silva, Jony J. Eckert, Ludmila C. A. Silva, and Franco G. Dedini. "Gear Mesh Stiffness and Damping Co-simulation." In Multibody Mechatronic Systems. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60372-4_20.

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Meagher, Jim, Xi Wu, Dewen Kong, and Chun Hung Lee. "A Comparison of Gear Mesh Stiffness Modeling Strategies." In Structural Dynamics, Volume 3. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9834-7_23.

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Chakroun, Ala Eddin, Chaima Hammami, Ahmed Hammami, et al. "Quasi-static Study of Gear Mesh Stiffness of a Polymer-Metallic Spur Gear System." In Lecture Notes in Mechanical Engineering. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-84958-0_32.

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Chen, Yong, Libin Zang, Kai Li, Huidong Zhou, Wangyang Bi, and Jinkai Li. "Effects of Supporting Stiffness on Meshing Characteristics of Helical Gear Under Multiple Load Cases." In Lecture Notes in Electrical Engineering. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-7945-5_75.

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Onkareshwar, M., Vamsi Inturi, S. P. Rajendra, P. K. Penumakala, and G. R. Sabareesh. "Effect of Local Gear Tooth Failures on Gear Mesh Stiffness and Vibration Response of a Single-Stage Spur Gear Pair." In Lecture Notes in Mechanical Engineering. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-8049-9_69.

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Chen, Zhiying, and Pengfei Ji. "Time Varying Mesh Stiffness Calculation of Spur Gear Pair Under Mixed Elastohydrodynamic Lubrication Condition." In Lecture Notes in Electrical Engineering. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-3305-7_237.

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Peng, Quancheng, Tengjiao Lin, Zeyin He, Jing Wei, and Hesheng Lv. "Calculation of Mesh Stiffness of Gear Pair with Profile Deviation Based on Realistic Tooth Flank Equation." In Communications in Computer and Information Science. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2396-6_47.

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Liang, Xihui, Ming J. Zuo, and Yangming Guo. "Evaluating the Time-Varying Mesh Stiffness of a Planetary Gear Set Using the Potential Energy Method." In Lecture Notes in Mechanical Engineering. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06966-1_33.

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Langhart, J., I. Zotos, and G. Franzoso. "Casing stiffness variations and influence on the gear meshing properties." In International Conference on Gears 2017. VDI Verlag, 2017. http://dx.doi.org/10.51202/9783181022948-1161.

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Cooley, Christopher G., Chunguang Liu, Xiang Dai, and Robert G. Parker. "Techniques for the calculation of gear pair mesh stiffness." In Power Engineering. CRC Press, 2016. http://dx.doi.org/10.1201/9781315386829-25.

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Conference papers on the topic "Meshing; Gear mesh stiffness"

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Karpat, Fatih, Tufan Gürkan Yılmaz, Oğuz Doğan, and Onur Can Kalay. "Stress and Mesh Stiffness Evaluation of Bimaterial Spur Gears." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11554.

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Abstract Lightweight spur gears have been a trending topic in aerospace and automotive applications recently. Traditionally, weight reduction could be ensured by using gear body with holes or thin rim design which result in to fluctuate mesh stiffness or it may increase stress and deformation levels. Indeed, high stresses occur in only contact and root region of gear tooth during the meshing process, so other regions are subjected to low stress. Based upon this point; various materials with low density and adequate strength could be used in low stress region while gear steel remains for high s
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Lin, Jian, and Robert G. Parker. "Mesh Stiffness Variation Instabilities in Two-Stage Gear Systems." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21439.

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Abstract Mesh stiffness variation, the change in stiffness of meshing teeth as the number of teeth in contact changes, causes parametric instabilities and severe vibration in gear systems. The operating conditions leading to parametric instability are investigated for two-stage gear chains, including idler gear and countershaft configurations. Interactions between the stiffness variations at the two meshes are examined. Primary, secondary, and combination instabilities are studied. The effects of mesh stiffness parameters, including stiffness variation amplitudes, mesh frequencies, contact rat
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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
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Zhang, Jianwu, Han Guo, Liang Zou, and Haisheng Yu. "Optimization of Compound Planetary Gear Train by Improved Mesh Stiffness Approach." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-70403.

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An improved mesh stiffness approach is presented for optimization of vibration and noise performance of the planetary gear trains in a full power split hybrid transmission, in which mesh stiffness time-variability and biaxial gear stiffness couplings in gear pairs are taken into account. For improving accuracy of the mesh stiffness in double teeth-meshing region for spur gear pairs, a simplified solution to the loading gear deformations counting for time-varying mesh stiffness of the helical gear pairs is proposed, based on the integral potential energy method and FEM simulation. By the new bi
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Sirichai, Seney, Ian Howard, Laurie Morgan, and Kian Teh. "The Static Transmission Error of Cracked Spur Gear Teeth Using FEA." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/cie-5510.

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Abstract This paper considers a Finite Element Model which is used to predict the torsional mesh stiffness and static transmission error of a pair of spur gears in mesh. The model involves the use of 2D plain strain elements, coupled with contact elements at the points of contact between the meshing teeth. A simple strategy of how to determine an appropriate value of the penalty parameter of the contact elements (gap element) is also presented. When gears are unloaded, a pinion and gear with perfect involute profiles, should theoretically run with zero transmission error. However, when gears w
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Kuang, Jao-Hwa, and Ah-Der Lin. "An Analytical Model for Spur Gear Dynamics." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dac-3855.

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Abstract A mathematical model for a spur gear pair with two-step mesh stiffness is proposed. Two constant values of mesh stiffness are used to approximate the complicated compliance alternation of contact tooth pairs between one and two during meshing. Analytical solutions of the dynamic loads are derived. The method has been employed to calculate the dynamic contact load, transmitted torque and the bearing forces. The results compared favorably with a more detailed model found in the literature.
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Shao, Yimin, Xi Wang, Zaigang Chen, and Teik C. Lim. "Effect of Gear Tooth Crack on Spur Gear Dynamic Response by Simulation." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47524.

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Geared transmission systems are widely applied to transmit power, torque and high rotational speed, and as well as change the direction of rotational motion. Their performances and efficiencies depend greatly on the integrity of the gear structure. Hence, health monitoring and fault detection in geared systems have gained much attention. Often, as a result of inappropriate operating conditions, application of heavy load beyond the designed capacity or end of fatigue life, gear faults frequently occur in practice. When fault happens, gear meshing characteristics, including mesh stiffness that i
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Parker, R. G., S. M. Vijayakar, and T. Imajou. "Modeling the Nonlinear Vibration of a Spur Gear Pair." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/ptg-14434.

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Abstract The dynamic response of a spur gear pair is investigated using a finite element/contact mechanics model that offers significant advantages for dynamic gear analyses. The gear pair is analyzed across a wide range of operating speeds and torques. Comparisons are made to other researchers’ published experiments that reveal complex nonlinear phenomena. The nonlinearity source is contact loss of the meshing teeth, which, in contrast to the prevailing understanding, occurs even for large torques despite use of high-precision gears. A primary feature of the modeling is that dynamic mesh forc
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Ramamohana Rao, A., and B. Srinivasulu. "Studies on the Dynamic Performance of a Spur Gear With Hollow Teeth." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0005.

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Abstract Performance of spur gears largely depends on the magnitude and nature of variation of dynamic loads occuring between mating teeth. Variable tooth mesh stiffness is one of the primary sources causing parametric excitations resulting in dynamic loads. The usual method of varying the mesh stiffness to reduce dynamic loads is to use high contact ratio and profile modified gears. In this paper, a new type of tooth design to improve the dynamic performance of spur gears is presented. In this, a through hole is drilled in each tooth in a direction parallel to the gear axis. The diameter of t
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Kuang, J. H., and A. D. Lin. "On the Interaction Between the Dynamic Contact Load and the Surface Wear of a Plastic Gear Pair." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/dac-14529.

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Abstract Due to the merits, for example, silent operation, self-lubrication, and light weight, etc., the demand for plastic gears increases tremendously. The purpose of this paper is to investigate the interaction between the dynamic contact loads and the sliding wear depths of a meshing plastic gear pair. Parameters, such as time-varying mesh stiffness, damping ratio, tooth errors, etc., are included in the gear dynamic model presented. As to the mesh stiffness, finite element results will be used to curve fit the flexible stiffnesses at different contact points. The values of the damping rat
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