Academic literature on the topic 'Gear mesh stiffness'

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Journal articles on the topic "Gear mesh stiffness"

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Olanipekun, K. A. "Estimation of a Planetary Gear Mesh Stiffness: An Approach Based on Minimising Error Function." European Journal of Engineering and Technology Research 6, no. 3 (April 30, 2021): 164–69. http://dx.doi.org/10.24018/ejers.2021.6.3.2416.

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The mesh stiffness of gear teeth is one of the major sources of excitation in gear systems. Many analytical and finite element methods have been proposed in order to determine the mesh stiffness of gears especially parallel axis spur gears. Most of these methods are not trivial because they involve complicated analyses which incorporate parameters like gear tooth error, gear spalling sizes and shapes, nonlinear contact stiffness and sliding friction before mesh stiffness can be determined. In this work, a method is proposed to determine the sun-planet and ring-planet mesh stiffnesses of a planetary gear system. This approach involves fitting a relationship between the measured natural frequencies from an experimental modal test and natural frequencies predicted using an analytical model of a planetary gear. This method is relatively easier compared to the existing methods which involve complicated analyses. For this study, the average mesh stiffness estimated is 12.5 MN/m.
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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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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 stiffness for whole gear tooth.
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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 is selected, and the mesh phase difference of each gear pair relative to the system reference gear pair is obtained. The derivation process takes into account the modification of the teeth, the processing, and assembly of the duplicate gears, which makes the calculation method and conclusion more versatile. This work lays a foundation for considering the time-varying meshing stiffness in the study of system dynamics, load distribution, and fault diagnosis of compound planetary gears.
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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 (May 1, 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 algorithm calculates its stiffness separately. The influence of the peeling sizes on mesh stiffness is studied by simulation analysis. As a very important parameter, the study of gear mesh stiffness is of great significance to the monitoring of working conditions and the prevention of sudden failure of the gear box system.
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Chen, Ying Chung, Chung Hao Kang, and Siu Tong Choi. "Dynamic Analysis of a Spur Geared Rotor-Bearing System with Nonlinear Gear Mesh Stiffness." Advanced Materials Research 945-949 (June 2014): 853–61. http://dx.doi.org/10.4028/www.scientific.net/amr.945-949.853.

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The gear mesh stiffnesses have been regarded as constants in most previous models of geared rotor-bearing systems. In this paper, a dynamic analysis of a spur geared rotor-bearing system with nonlinear gear mesh stiffness is presented. The nonlinear gear mesh stiffness is accounted for by bending, fillet-foundation and contact deflections of gear teeth. A finite element model of the geared rotor-bearing system is developed, the equations of motion are obtained by applying Lagrange’s equation, and the dynamic responses are computed by using the fourth-order Runge-Kutta numerical method. Numerical results indicate that the proposed gear mesh stiffness provides a realistic dynamic response for spur geared rotor-bearing system.
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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 (January 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 revised method for predicting the combined torsional mesh stiffness is presented. It is further shown tha the mesh stiffness and load sharing ratios will be a function of applied load.
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Zhang, Dongsheng, and Shiyu Wang. "Parametric vibration of split gears induced by time-varying mesh stiffness." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229, no. 1 (April 23, 2014): 18–25. http://dx.doi.org/10.1177/0954406214531748.

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Time-varying mesh stiffness is a significant excitation source within gear systems. Split gear (or laminated gear, phase gear) is an interesting design using equally phased gear-slices, which can remarkably reduce the mesh stiffness fluctuation like helical gears but completely avoid the axial force. This work examines a split gear pair to address the suppression of the mesh stiffness fluctuation and rotational vibration thereof, especially the relationship between the key design parameters including the number of slice, contact ratio, and damping, and the parametric vibration. For these aims, this work develops a purely rotational model, based on which the multi-scale method is employed to determine stability boundaries. The results imply that the unstable zones are related to the mesh phase determined by the number of slices and contact ratio, and these zones can be diminished by the damping. The analytical predictions are numerically verified by Floquet theory.
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Gu, Cheng Zhong, and Xin Yue Wu. "Study of the Modeling of the Gear Dynamics Considering Mesh Stiffness and Sliding Friction." Applied Mechanics and Materials 29-32 (August 2010): 618–23. http://dx.doi.org/10.4028/www.scientific.net/amm.29-32.618.

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Time- varying mesh stiffness and sliding friction between teeth are the great excitation for vibration and noise in gears system. But, there are rarely studies on this topic. This paper proposes a new dynamic modeling of gear system, which is effect of mesh stiffness variation, sliding friction and distribution of load. Firstly, the expression of time-varying mesh stiffness is gained, which is a period function. Secondly, a new friction modeling has the same period as mesh stiffness, is proposed. Thirdly, friction torque of each gear pair is calculated respectively, which is considering the distribution of load and time-varying friction arm. Finally, because all parameter have the same cycle, it is easy to get the approximate analytical solution to non-line model of gear dynamic by fourier transform.
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Zhang, K.-Z., H.-D. Yu, X.-X. Zeng, and X.-M. Lai. "Numerical simulation of instability conditions in multiple pinion drives." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 6 (May 25, 2011): 1319–27. http://dx.doi.org/10.1177/2041298310392649.

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Multiple pinion drives, parallel arrangements of the pinions for large torque transmission, are widely utilized in various heavy-duty industrial applications. For such multi-mesh gear systems, periodic mesh stiffnesses could possibly cause parametric instabilities and server vibrations. Based on the Floquet–Lyapunov theory, numerical simulations are conducted to determine the parametric instability status. For rectangular waveforms assumption of the mesh stiffness variations, the primary, secondary, and combination instabilities of the multiple pinion drives are studied. The effects of mesh stiffness parameters, including mesh frequencies, stiffness variation amplitudes, and mesh phasing, on these instabilities are yielded. Unstable regions are also indicated for different gear pair configurations. Instability conditions of three-pinion drives are obtained and compared with those of the three-stage gear train.
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Dissertations / Theses on the topic "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 radiating from the gearbox to achieve an acceptable design.Gears are used extensively in the driveline of electric vehicles. As the gears are in mesh, a main intrusive concern is known as gear whine noise. Gear whine noise is an undesired vibroacoustic phenomenon and is likely to originate through the gear contacts and be transferred through themechanical components to the housing where the vibrations are converted into airborne and structure-borne noise. The gear whine noise originates primarily from the excitation coming from transmission error (TE). Transmission error is defined as the difference between the ideal smoothtransfer of motion of a gear and what is in practice due to lack of smoothness.The main objective of this study is to simulate the vibrations generated by the gear whine noise in an electric powertrain line developed by AVL Vicura. The electric transmission used in this study provides only a fixed overall gear ratio, i.e. 9.59, under all operation conditions. It is assumed thatthe system is excited only by the transmission error and the mesh stiffness of the gear contacts. In order to perform NVH analysis under different operating conditions, a multibody dynamics model according to the AVL Excite program has been developed. The dynamic simulations are thencompared with previous experimental measurements provided by AVL Vicura.Two validation criteria have been used to analyse the dynamic behaviour of the AVL Excite model: signal processing using the FFT method and comparison with the experimental measurements.The results from the AVL Excite model show that the FFT criterion is quite successful and all excitation frequencies are properly observed in FFT plots. Nevertheless, when it comes to the second criterion, as long as not all dynamic parameters of the system such as damping or stiffnesscoefficients are provided with certainty in the model, it is too difficult to investigate the accuracy of the AVL Excite model. Another investigation is a numerical design study to analyses how the damping coefficients influence the response. After reducing the damping parameters, the results show that the housing and bearings have the highest influence on the response. If more acceptable results are desired,future studies must be concentrated on these to obtain more acceptable damping values.
För närvarande tvingar ökat tryck från lagstiftning och kundkrav inom bilindustrin tillverkarna attproducera grönare fordon med lägre utsläpp och bränsleförbrukning. Som ett resultat ärelektrifierade och hybridfordon ett växande populärt alternativ till traditionellaförbränningsmotorer (ICE). Bullret från ett elfordon kommer främst från kontakten mellan däckoch väg, vindmotstånd och drivlinan. Bullret från drivlinan är i huvudsak relaterat till växellådan.Vid utveckling av en drivlina är det av betydelse att uppskatta bullret från växellådan för att uppnåen acceptabel design.Utväxlingar används i stor utsträckning i elfordons drivlina. Eftersom kugghjulen är i kontaktuppstår ett huvudproblem som är känt som ett vinande ljud från kugghjulskontakten.Kugghjulsljud är ett oönskat vibro-akustiskt fenomen och uppstår sannolikt på grund avkugghjulkontakterna och överförs via de mekaniska komponenterna till växellådshuset därvibrationerna omvandlas till luftburet och strukturburet ljud. Kugghjulsljudet härstammarhuvudsakligen från exciteringen som kommer från transmissionsfel (TE) i kugghjulskontakten.Överföringsfelet definieras som skillnaden mellan den ideala smidiga rörelseöverföringen hoskugghjulen och rörelsen som sker i verkligheten på grund av ojämnheter.Huvudsyftet med denna studie är att simulera vibrationerna som genereras avkugghjulskontakterna i en elektrisk drivlina utvecklad av AVL Vicura. Den elektriska drivlinan somanvänds i denna studie har endast ett fast utväxlingsförhållande, dvs 9,59, för alladriftsförhållanden. Det antas att systemet är exciterat endast av överföringsfelet och kugghjulensstyvhet i kuggkontakterna. För att kunna utföra NVH-analys under olika driftsförhållanden har enstelkroppsdynamikmodell utvecklats med hjälp av programmet AVL Excite. De dynamiskasimuleringarna jämförs sedan med tidigare experimentella mätningar som tillhandahålls av AVLVicura.Två valideringskriterier har använts för att analysera det dynamiska beteendet hos AVL Excitemodellen:signalbehandling med FFT-metoden och jämförelse med experimentella mätningar.Resultaten från AVL Excite-modellen visar att FFT-kriteriet är ganska framgångsrikt och allaexcitationsfrekvenser observeras korrekt i FFT-diagrammen. Men när det gäller det andra kriteriet,så länge som inte alla dynamiska parametrar i systemet, såsom dämpnings- ellerstyvhetskoefficienter, är tillförlitliga i modellen, är det för svårt att undersöka exaktheten hos AVLExcite-modellen.En annan undersökning som utförts är en numerisk designstudie för att analysera hurdämpningskoefficienterna påverkar responsen. Efter minskning av dämpningsparametrarna visarresultaten att växellådshus och lager har störst inflytande på resultatet. Om mer acceptabla resultatär önskvärda måste framtida studier koncentreras på dessa parametrar för att uppnå mer acceptabladämpningsvärden.
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3

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 radiating from the gearbox to achieve an acceptable design.Gears are used extensively in the driveline of electric vehicles. As the gears are in mesh, a mainintrusive concern is known as gear whine noise. Gear whine noise is an undesired vibroacousticphenomenon and is likely to originate through the gear contacts and be transferred through themechanical components to the housing where the vibrations are converted into airborne andstructure-borne noise. The gear whine noise originates primarily from the excitation coming fromtransmission error (TE). Transmission error is defined as the difference between the ideal smoothtransfer of motion of a gear and what is in practice due to lack of smoothness.The main objective of this study is to simulate the vibrations generated by the gear whine noise inan electric powertrain line developed by AVL Vicura. The electric transmission used in this studyprovides only a fixed overall gear ratio, i.e. 9.59, under all operation conditions. It is assumed thatthe system is excited only by the transmission error and the mesh stiffness of the gear contacts. Inorder to perform NVH analysis under different operating conditions, a multibody dynamics modelaccording to the AVL Excite program has been developed. The dynamic simulations are thencompared with previous experimental measurements provided by AVL Vicura.Two validation criteria have been used to analyse the dynamic behaviour of the AVL Excite model:signal processing using the FFT method and comparison with the experimental measurements.The results from the AVL Excite model show that the FFT criterion is quite successful and allexcitation frequencies are properly observed in FFT plots. Nevertheless, when it comes to thesecond criterion, as long as not all dynamic parameters of the system such as damping or stiffnesscoefficients are provided with certainty in the model, it is too difficult to investigate the accuracy ofthe AVL Excite model.Another investigation is a numerical design study to analyses how the damping coefficientsinfluence the response. After reducing the damping parameters, the results show that the housingand bearings have the highest influence on the response. If more acceptable results are desired,future studies must be concentrated on these to obtain more acceptable damping values.
För närvarande tvingar ökat tryck från lagstiftning och kundkrav inom bilindustrin tillverkarna attproducera grönare fordon med lägre utsläpp och bränsleförbrukning. Som ett resultat ärelektrifierade och hybridfordon ett växande populärt alternativ till traditionellaförbränningsmotorer (ICE). Bullret från ett elfordon kommer främst från kontakten mellan däckoch väg, vindmotstånd och drivlinan. Bullret från drivlinan är i huvudsak relaterat till växellådan.Vid utveckling av en drivlina är det av betydelse att uppskatta bullret från växellådan för att uppnåen acceptabel design.Utväxlingar används i stor utsträckning i elfordons drivlina. Eftersom kugghjulen är i kontaktuppstår ett huvudproblem som är känt som ett vinande ljud från kugghjulskontakten.Kugghjulsljud är ett oönskat vibro-akustiskt fenomen och uppstår sannolikt på grund avkugghjulkontakterna och överförs via de mekaniska komponenterna till växellådshuset därvibrationerna omvandlas till luftburet och strukturburet ljud. Kugghjulsljudet härstammarhuvudsakligen från exciteringen som kommer från transmissionsfel (TE) i kugghjulskontakten.Överföringsfelet definieras som skillnaden mellan den ideala smidiga rörelseöverföringen hoskugghjulen och rörelsen som sker i verkligheten på grund av ojämnheter.Huvudsyftet med denna studie är att simulera vibrationerna som genereras avkugghjulskontakterna i en elektrisk drivlina utvecklad av AVL Vicura. Den elektriska drivlinan somanvänds i denna studie har endast ett fast utväxlingsförhållande, dvs 9,59, för alladriftsförhållanden. Det antas att systemet är exciterat endast av överföringsfelet och kugghjulensstyvhet i kuggkontakterna. För att kunna utföra NVH-analys under olika driftsförhållanden har enstelkroppsdynamikmodell utvecklats med hjälp av programmet AVL Excite. De dynamiskasimuleringarna jämförs sedan med tidigare experimentella mätningar som tillhandahålls av AVLVicura.Två valideringskriterier har använts för att analysera det dynamiska beteendet hos AVL Excitemodellen:signalbehandling med FFT-metoden och jämförelse med experimentella mätningar.Resultaten från AVL Excite-modellen visar att FFT-kriteriet är ganska framgångsrikt och allaexcitationsfrekvenser observeras korrekt i FFT-diagrammen. Men när det gäller det andra kriteriet,så länge som inte alla dynamiska parametrar i systemet, såsom dämpnings- ellerstyvhetskoefficienter, är tillförlitliga i modellen, är det för svårt att undersöka exaktheten hos AVLExcite-modellen.En annan undersökning som utförts är en numerisk designstudie för att analysera hurdämpningskoefficienterna påverkar responsen. Efter minskning av dämpningsparametrarna visarresultaten att växellådshus och lager har störst inflytande på resultatet. Om mer acceptabla resultatär önskvärda måste framtida studier koncentreras på dessa parametrar för att uppnå mer acceptabladämpningsvärden.
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4

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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5

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 neural network. Multilayer neural network with backpropagation training was chosen as a type of the network. Created neural network is sufficiently efficient and can determine varying mesh stiffness in input set range for learned input parameters and for values of parameters that are not included in training set as well. This neural network can be used for varying single tooth-pair mesh stiffness estimation in input set range.
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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 using the Spectral Iterative Method. The observed experimental results correlated well with those from the developed model. In order to limit the resonance phenomena, impacts of different macro and micro-geometry modifications were analytically investigated: quadratic teeth profile, different planets positioning, different number of teeth and number of planets. Optimum modifications were retrieved and are expected to be tested experimentally on a test bench and on the truck. Finally, the analytical model’s limits and sensitivity to different parameters were investigated in order to certify its reliability, and suggestions for improvements were presented.
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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
國立中央大學
機械工程研究所
100
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
國立中正大學
機械工程學系暨研究所
99
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 bearing stiffness reduction will make chaos ahead of the system. In the case of high speed, positive modification coefficient chaos to occur is faster than negative modification coefficient when bearing stiffness lower, Moreover,bearing stiffness Increase the scope of the system of Chaos whan bearing stiffness lower. In terms of radial displacement, due to the strong stiffness of bearing, radial displacement effect on dynamic transmission error will low. On the other hand,Bearing damping did not affect of chaos of system.
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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
國立中正大學
機械工程所
96
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 and fillet parts, pressure angle, and tooth depth (which included root tooth, addendum, and clearance). These can affect the tooth profile and evaluation of the mesh stiffness. In this study, the parameters design how to affect the tooth profile, mesh stiffness, and non-linear dynamic behavior. According to the results, the dynamic behavior of gear train was affected by the contact ratio and mesh stiffness. The system response was small for the gear train of high contact ratio as stable action at high speed. The response can be increased for high mesh stiffness. This theoretical model of system can be quickly solved response to pre-analysis a situation of the motion and selected the gear train in the mechanical transmission.
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Cheng, Cheng-Jie, and 鄭丞傑. "A Study on Bifurcation and Chaotic Motion of the Multi-Mesh Gear Train with Time-Varying Stiffness Application of Rack Cutter." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/80829600385089700797.

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碩士
國立中正大學
機械工程所
96
In dynamic behavior of gear system, such parameters as torque, backlash and mesh stiffness well use for a long time. The mesh stiffness influences dynamic behavior in this respect, the researchers use a constant value, multi-term Fourier series and periodic rectangular wave to approximation the mesh stiffness. There are not real mesh stiffness under the involute tooth profile condition. In this study, generation of spur gear tooth profile by using rack cutter has been proposed, and calculates the mesh stiffness of each mesh position on line of action. In addition, the equations of motion of a nonlinear time-varying dynamic model are derived by using Lagragian approach. The harmonic response of system is analyzed by applying Harmonic Balance Method. Furthermore, the Runge-Kutta method is used to analyze the bifurcation phenomenon and chaotic behavior of system. According to the numerical results, the harmonic response and chaotic motion are significantly affected by the mesh stiffness with different tooth depth and pressure angle. The mesh stiffness of single tooth pair is reduced by increasing the tooth depth, causing the dynamic response is strengthened when the tooth pair separated (the mesh tooth depth turns from double into single tooth). Furthermore, because the contact ratio is advanced, the longer double tooth pair mesh time causes the system placidly operation. Similarly, the mesh stiffness of single tooth pair is increased due to increasing the pressure angle, causing the dynamic response is mitigated. On the other hand, the damping ratio deeply influences the system bifurcation phenomenon. The dynamic response not only will be decreased by increased the damping ratio, but also occurrence of chaotic motion will be reduced.
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Books on the topic "Gear mesh stiffness"

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Parker, Robert G. Modeling, modal properties, and mesh stiffness variation instabilities of planetary gears. [Cleveland, Ohio]: National Aeronautics and Space Administration, Glenn Research Center, 2001.

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Book chapters on the topic "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, 177–84. Cham: 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, 255–63. New York, NY: 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, Ana De-Juan, Fakher Chaari, Alfonso Fernandez, Fernando Viadero, and Mohamed Haddar. "Quasi-static Study of Gear Mesh Stiffness of a Polymer-Metallic Spur Gear System." In Lecture Notes in Mechanical Engineering, 301–7. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-84958-0_32.

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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, 1095–103. Singapore: 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, 2898–911. Singapore: 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, 506–17. Singapore: 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, 365–74. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06966-1_33.

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Contartese, Nicola, Piervincenzo Giovanni Catera, and Domenico Mundo. "Static mesh stiffness decomposition in hybrid metal-composite spur gears." In Advances in Mechanism and Machine Science, 977–85. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20131-9_97.

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Verma, Jay Govind, Shivdayal Patel, and Pavan Kumar Kankar. "Mesh Stiffness Variation Due to the Effect of Back-Side Contact of Gears." In Reliability, Safety and Hazard Assessment for Risk-Based Technologies, 393–402. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9008-1_31.

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Jelić, Miloš, and Ivana Atanasovska. "The New Approach for Calculation of Total Mesh Stiffness and Nonlinear Load Distribution for Helical Gears." In Power Transmissions, 645–54. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-6558-0_52.

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Conference papers on the topic "Gear mesh stiffness"

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Stringer, D. Blake, Amir Younan, Pradip N. Sheth, and Paul E. Allaire. "Generalized Stiffness Gear-Mesh Matrix Including EHD Stiffness." In ASME/STLE 2007 International Joint Tribology Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ijtc2007-44473.

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This paper presents a method to compute gear mesh stiffness based on the EHD behavior by combined finite element solution of the Reynolds Equation with the elastic contact model. It is shown that this solution requires iterative procedure to balance the computed pressure profile with the external nominal transmission load. This mesh stiffness is load dependent and therefore is a nonlinear phenomenon. The nominal stiffness value is utilized to model a full (12×12) gear mesh matrix for a linear dynamic model of rotor bearing systems including gears to evaluate system dynamics and coupling between lateral/torsional vibrations.
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Guo, Yichao, and Robert G. Parker. "Back-Side Contact Gear Mesh Stiffness." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48055.

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Back-side gear tooth contact happens when the anti-backlash (or scissor) gears are applied or tooth wedging occurs. An accurate description of the back-side gear tooth mesh stiffness is important to any study on gear dynamics that involves tooth wedging or anti-backlash mechanism. This work studies the time-varying back-side mesh stiffness and its correlation with backlash by analyzing the relationship between the drive-side and back-side mesh stiffnesses. Results of this work yield the general form of the back-side mesh stiffness or gear tooth variation function for an arbitrary gear pair. The resultant analytical formulae are confirmed by the simulation results from Calyx that precisely tracks gear tooth contact without any predefined relations.
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Jiang, Hanjun, and Yimin Shao. "Dynamic Analysis of a Multi-Mesh Gear System With Mesh Stiffness Variation." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12750.

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Parameter excited oscillations induced by the varying tooth mesh stiffnesses of the gear pairs cause severe vibration in gear systems. The oscillations become more complex and serious in multi-mesh gear system because more mesh stiffnesses variation occur, which are necessary to be investigated in deeply. To illustrate the complex oscillation phenomena, a 8 degrees of freedom (DOF) non-linear dynamic model of a multi-mesh gear system is developed to study the responses of the system with considering time-varying mesh stiffnesses. Interactions between the mesh stiffness variations at the two meshes are examined. Seven different mesh phases are defined according to the alternating engagement of single and double gear teeth. The effects of different phases of the mesh stiffnesses between the two meshes on the typical multi-mesh gear system are identified by using numerical simulation. The results show that the oscillations of the multi-mesh gear system could be reduced by changing the phase of the mesh stiffnesses.
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Wu zhifei, Wang tie, and Zhang ruiliang. "A study of spur gear torsional mesh stiffness." In International Technology and Innovation Conference 2009 (ITIC 2009). IET, 2009. http://dx.doi.org/10.1049/cp.2009.1476.

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Zhang, Luke, and Yimin Shao. "Mesh Stiffness Calculation of Spur Gears With Tooth Surface Crack." 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/detc2019-97857.

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Abstract Tooth surface crack is an early fault before spalling, which has an important influence on mesh stiffness and vibration characteristics of the gear system. However, the researches on tooth surface crack are limited as scholars pay little attention to this early fault. In this study, an analytical model of spur gears with tooth surface crack is established. Using the potential energy method, the equations for mesh stiffness calculation of spur gears with tooth surface crack are derived. By adopting the proposed model, the influences of tooth surface crack fault on mesh stiffness of gear tooth are studied. The relationship between tooth surface crack and mesh stiffness of gear tooth under different lengths and depths can be further calculated. This study provides a theoretical basis for the diagnosis of early failure of spalling.
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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 ratios, and mesh phasing, on these instabilities are analytically identified. For mesh stiffness variation with rectangular waveforms, simple design formulae are derived to control the instability regions by adjusting the contact ratios and mesh phasing. The analytical results are compared to numerical solutions.
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Bonori, G., A. O. Andrisano, and F. Pellicano. "Stiffness Evaluation and Vibration in a Tractor Gear." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59492.

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The problem of gear noise in vehicles has been intensively studied in the past; however, recently the interest about this problem grew because of great restrictions in the laws regarding noise level and the increase of international competition. One of the most important vibration and noise sources is transmission error that excites the gearbox as a dynamic system, the gearbox surfaces, and connected components; the external box radiates noise. However, the current understanding of gear vibration remains incomplete, even though there is general agreement about the nature of the phenomenon. Vibrations are due to several sources: torsion resonance, impulsive or cyclic fluctuations in drive torque, gear mesh transmission error, local component vibration responses and fluctuations in the output torque demand. The concept of a vibrating system made of two gears is generally modeled through two wheels linked by the teeth mesh stiffness. In its simplest form, this model can simulate the classical linear resonance, i.e. the resonant frequency of the system. However, more complex phenomena such as parametric instabilities can be an important source of noise. In the present paper vibration problems in the gears of an industrial vehicle are investigated through the use of perturbation technique. A suitable software has been developed to generate the gear profiles in order to evaluate global mesh stiffness using finite element analysis.
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Wang, Zhi, Guicheng Wang, Longbao Wang, and Jinhui Zhu. "Equivalent Conversion Calculation of Straight Bevel Gear Mesh Stiffness." In 2009 Fifth International Conference on Natural Computation. IEEE, 2009. http://dx.doi.org/10.1109/icnc.2009.707.

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Karpat, F., B. Engin, O. Dogan, C. Yuce, and T. G. Yilmaz. "Effect of Rim Thickness on Tooth Root Stress and Mesh Stiffness of Internal Gears." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-39181.

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In recent years, internal gears are used commonly in a number of automotive and aerospace applications especially in planetary gear drives. Planetary gears have many advantages such as compactness, large torque-to-weight ratio, large transmission ratios, reduced noise and vibrations. Although internal gears have many advantages, there are not enough studies on it. Designing an internal gear mechanism includes two important parameters. The gear mesh stiffness which is the main excitation source of the system. In this paper, 2D gear models are developed in order to compute gear mesh stiffness for various rim thicknesses and different rim shapes of the internal gear design. Effects of root stress with varying rim thickness and some tooth parameters are investigated by using 2D gear models. The stress calculated according to ISO 6336 and the stresses calculated against FEM are compared. These results are well-matched. It is observed that when the rim thicknesses are increased, both the maximum bending stresses and gear mesh stiffness are decreased considerably.
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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 stress region. In this study, two different lightweight materials (Aluminum alloy and Carbon fiber reinforced polymer) were used for low stress region. The effect of these materials was investigated in view of stiffness and root stress for the same gear design parameters. Unidirectional CFRP laminas were used in a symmetric lay up to ensure quasi-isotropic laminate properties. Finite element analyses were conducted to obtain root stress and then total deformation of the tooth for stiffness calculation. Interface properties of ring and core regions were assumed as pure bonded. Meshing load was applied on the highest point single tooth contact (HPSTC) line. Weight reduction ratios were also compared. According to results, the steel/composite design is superior to steel/aluminum hybrid design in view of stress, stiffness and weight.
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