Thematische Bibliographien / Gear Engagement Dynamics

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Auswahl der wissenschaftlichen Literatur zum Thema „Gear Engagement Dynamics“

Autor: Grafiati

Veröffentlicht am 28. Juni 2021

Zuletzt aktualisiert am 1. Februar 2022

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Zeitschriftenartikel zum Thema "Gear Engagement Dynamics"

Wang, Jianhong, Teik C. Lim und Liding Yuan. „Spur gear multi-tooth contact dynamics under the influence of bearing elasticity and assembly errors“. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227, Nr. 11 (19.02.2013): 2440–55. http://dx.doi.org/10.1177/0954406213477816.

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A numerical model is formulated to analyze the tooth contact dynamic load distribution and dynamic transmission error of a pair of spur gears under the influence of bearing elasticity and gearbox assembly errors. In the proposed model, the deformation of the tooth is computed by applying a combination of finite elements and contact mechanics. The elasticity of the bearings is represented with infinitesimal linear spring elements, while the shafts and gears except the teeth that are in engagement are assumed to be rigid bodies. Applying those assumptions, three sets of highly coupled governing equations representing the meshing teeth flexible behavior, gear-bearing assembly translation dynamics and gear rotation dynamics are derived. The resultant model is then used to predict the dynamical behaviors of the geared rotor system, tooth contact dynamic load, and dynamic transmission error. A set of parametric studies is also performed to analyze the gear dynamic response.

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Deur, Joško, Jahan Asgari, Davor Hrovat und Petar Kovač. „Modeling and Analysis of Automatic Transmission Engagement Dynamics-Linear Case“. Journal of Dynamic Systems, Measurement, and Control 128, Nr. 2 (31.05.2005): 263–77. http://dx.doi.org/10.1115/1.2192827.

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A control-oriented model of a typical four-speed automatic transmission is developed by using the bond graph modeling method. The planetary gear set model utilizes the Karnopp friction model for hydraulic and one-way clutches, in order to provide a favorable computing efficiency. The full gear set model is reduced for various phases of the park/reverse and park/drive engagements. The reduced gear set models and linearized torque converter model are used as a basis for an algebraic analysis of the engagement dynamics. The analysis is originally conducted for the basic case of fully applied brake, and it is then extended by an analysis of the influence of wheel dynamics in the brake-off case. The analysis results are verified by computer simulations and experiments.

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Li, Xue Yi, San Shuai Li und Chao Chao Li. „Transient Dynamics Simulation of Helical Gear Pair Based on ANSYS“. Advanced Materials Research 230-232 (Mai 2011): 578–81. http://dx.doi.org/10.4028/www.scientific.net/amr.230-232.578.

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Transient dynamic theory of the helical gear drive is investigated, and corresponding dynamics equations are derived. Based on parameterized language APDL of ANSYS, a parametric programming module for accurate modeling and automatic assembling of helical gear pair has been developed. The parametric modeling and transient dynamic analysis of a helical gear pair in a crane reducer are performed. Transient stresses and strains of the gear pair throughout the engagement process are obtained and the worst meshing location can be determined. Compared to the traditional static analysis, Simulation results of dynamic analysis are more accurate and reliable which provide the foundation for accurate estimation of the gear fatigue life.

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Wang, Cheng, Shouren Wang und Gaoqi Wang. „Research on Dynamic Model of Double Helical Gear Pair Based on TCA and LTCA“. Volume 24, No 3, September 2019 24, Nr. 3 (September 2019): 476–84. http://dx.doi.org/10.20855/ijav.2019.24.31302.

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Numerous dynamic models of spur gears, helical gears, bevel gears, and face gears can be found in various studies. However, studies that focus on the dynamic model of a double helical gear pair are quite limited. The author proposed a model of a double helical gear pair by only considering the axial vibration. The author did not consider the friction and multiple backlashes in the proposed model. The friction force of the tooth surface and backlash are important factors that can cause complex non-linear phenomena in gear pairs. Therefore, a dynamic model of a double helical gear pair that takes into consideration the axial vibration, friction and multiple backlashes is proposed. Firstly, based on the tooth contact analysis (TCA) of a double helical gear pair, the path of contact and meshing time from engagement to disengagement are obtained. The formula for determining the sliding friction coefficient is introduced. Based on TCA and the dynamic meshing force provided by the subsequent dynamics model of double helical gear pair, the sliding friction coefficient of the tooth surface is calculated. Secondly, the stiffness excitation, gear-into impact excitation and error excitation (including the axial displacement caused by the errors of manufacture and installation under low speed) are calculated according to the existing research results. Following this, a dynamic model of a double helical gear pair that takes into consideration the axial vibration, friction and multiple backlashes is both built and solved. Finally, an example is presented to verify the corresponding results.

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Vinogradov, B. V., D. O. Fedin, V. I. Samusia und D. L. Kolosov. „Dynamic loads in self-aligning gear transmissions of heavy loaded machines“. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, Nr. 1 (2021): 84–90. http://dx.doi.org/10.33271/nvngu/2021-1/084.

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Purpose. Development of a mathematical model of a heavy loaded gear transmission with a self-aligning drive gear; evaluation of the dynamic load on the gear transmission in the gear alignment process. Methodology. The calculation schematic and equations of the relative motion of the self-aligning drive gear are formed using the methods of rigid body dynamics. Analytical expressions for the gear self-alignment time, collision velocity during the alignment and dynamic load factor are obtained by integrating an ordinary differential equation. Methods of the linear theory for oscillations are used to determine the dynamic factor. Findings. The article investigates the state-of-art design and mathematical models of the self-aligning gear. An equation for the relative motion of the moving part of the gear has been formed using the methods of rigid body dynamics. It is shown that by using the proposed hypotheses, the movement of the gear can be reduced to rotation about the instantaneous axis. The influence of geometric and dynamic parameters of the ball mill drive on dynamic loads in the open gear transmission is investigated. The gear alignment speed dependences on the tooth mesh misalignment angle in the gear transmission and the inertial parameters of the gear have been obtained. The obtained dependencies were used to calculate the time and speed of the gear alignment in the open gear transmission of the ball mill 5.5 6.5 (central discharge ball mill). It is shown that in the real range of mesh misalignment angles and gear parameters, the time of the gear alignment is several orders of magnitude less than the time of teeth re-engagement. In the presence of the variable component of the mesh misalignment angle, the gear will constantly make a relative motion with strikes; depending on the current value of the mesh misalignment angle, the dynamic load on the gear transmission can be significant. It is shown that when assessing the efficacy of self-aligning gears, it is necessary to take into account a possible increase in dynamic loads. The dynamic factor and the load factor are calculated for the nominal value of the mesh misalignment angle in the open gear transmission of 5.5 6.5 ball mills. Originality. A mathematical model of the dynamics of a self-aligning gear transmission in heavy duty machine drives has been developed. A quantitative assessment of internal dynamic load factor in an open gear transmission of 5.5 6.5 ball mills has been carried out. Practical value. A method for determining the dynamic component of the load on a gear transmission containing a self-aligning drive gear has been developed.

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Huo, Ping, Jian Ping Wang, Jiang Yu und Rui Fang Liu. „Analysis on the Failure Mechanism of Un-Connecting Rod Engine Gear Assembly“. Advanced Materials Research 216 (März 2011): 583–86. http://dx.doi.org/10.4028/www.scientific.net/amr.216.583.

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With the respect of the phenomenon that gear teeth are broken in the gear-gear ring striking gear of un-connecting rod engine, this paper analyzes its movement rule, and applies the explicit integral finite element method to simulate its dynamics. It shows that the theory engagement of gear-gear ring conforms to the rule of epicyclic gear train, and the deviation of the phase angle caused by mismachining tolerance is the main reason why gear teeth are broken.

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Wu, Shifeng, und H. S. Cheng. „Sliding Wear Calculation in Spur Gears“. Journal of Tribology 115, Nr. 3 (01.07.1993): 493–500. http://dx.doi.org/10.1115/1.2921665.

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

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Buinosov, A. P., A. T. Sharapov und S. A. Chebakov. „Checking the quality of engagement of the traction gear of an electric locomotive 2ES6“. Herald of the Ural State University of Railway Transport, Nr. 4 (2020): 13–20. http://dx.doi.org/10.20291/2079-0392-2020-4-13-20.

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A significant number of failures, violation of smooth running, as well as exceeding the noise ranges raise the problem of the quality of engagement of the traction gear of the 2ES6 electric locomotive. The article presents an analysis of statistical data collected on planned and unplanned repairs of 2ES6 series electric locomotives operated on the Sverdlovsk railway. The positive dynamics of the growth of traction drive failures confirms the urgency of the problem. One of the main reasons for the loss of performance of the traction drive is the failure of the traction gear elements. The gearing quality is checked according to geometric parameters, which confirms an error in the design of the traction gear of the 2ES6 electric locomotive as an element of the traction drive. The recommended value of the overlap coefficient was exceeded, which leads to a violation of smoothness of the ride, exceeding the noise ranges, rapid wear and early failures. A method is proposed to reduce the number of failures in 2ES6 electric locomotives by increasing the displacement coefficients, at the initial stage, in order to reduce the quality of the gear ratio - the overlap coefficient.

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Fujii, Y., W. E. Tobler, E. M. Clausing, T. W. Megli und M. Haghgooie. „Application of dynamic band brake model for enhanced drivetrain simulation“. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 216, Nr. 11 (01.11.2002): 873–81. http://dx.doi.org/10.1243/095440702321031423.

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In a modern vehicle design process, analytical tools are widely employed to complement experimental approaches for design evaluation. When effectively utilized, they lead to a reduced development time with improved vehicle performance. The development process of an automatic transmission (AT) system can benefit from an analytical representation which accurately captures AT shifting behaviours. In a typical AT system, friction components such as wet clutches and band brakes are utilized to alter planetary gear configurations for automatic shifting. Thus, an accurate representation of friction component dynamics is critical in predicting AT shifting behaviour. Engagement characteristics of friction components vary widely under different operating conditions. Although the basic engagement physics was identified in the 1970s, it is relatively recently that a predictive, yet computationally efficient model became available. This paper describes the first attempt to utilize a dynamic friction component model in drivetrain simulations. Specifically, a dynamic band brake model is implemented to predict the up-shift behaviour of a four-speed AT system under various operating conditions. Simulation results are qualitatively validated with experimental data obtained from a dynamometer test stand. The dynamic band brake model enhances the shift predictability of a drivetrain model and potentially allows analytical evaluation of shift quality and control strategy.

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Dong, Xing Hui, Xue Tian und Zhi Ling Yang. „Prediction of the Fatigue Life for Large Wind Turbine Gearbox“. Applied Mechanics and Materials 472 (Januar 2014): 539–43. http://dx.doi.org/10.4028/www.scientific.net/amm.472.539.

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Wind turbine gearbox is the key component. Because of alternating loads caused by gear engagement, variations of wind speed and fluctuation of load, it is prone to get fatigue damage, which lead to the high failure rate and low life. In this paper, obtaining the stress time histories through multi-body dynamics simulation, then base on the simulation data, statistical processing load time histories by used rain flow counting method, the last is that estimating fatigue life of components, combined with P-S-N curves of parts material and linear cumulative damage law. The fatigue life prediction of each component in gearbox would be implemented by matlab programming. Through the fatigue analysis of a megawatt-class wind turbine gearbox transmission chain, the design was verified feasibility, but not economic, and it show that this method has certain reference value and potential for improvement.

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Dissertationen zum Thema "Gear Engagement Dynamics"

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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WANG, CHUEN-REN, und 王春仁. „Dynamic Response of a Ball Screw under the Engagement Effect of Transmission Gear Pair“. Thesis, 2018. http://ndltd.ncl.edu.tw/handle/r8jvtr.

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博士
國立中正大學
機械工程系研究所
106
The dynamic characteristics of a ball screw system equipped with gear pair are discussed in this dissertation. Briefly, the power is created by motor on the drive pinion and transmitted to the driven gear on ball screw. Serious vibration is caused by backlash and manufacture error of gear in the transmission process. These errors will results in the nonlinear dynamic characteristics of ball screw at the engagement situation. 3D ball screw model is established by Solidwork, and the torque is calculated for the various preload conditions by ABAQUS. The gear mesh stiffness is calculated by using the above torque value, and is inserted into the 1-D ball screw model to simulate the dynamic response of the geared ball screw system by MATLAB. The time-varying gear mesh stiffness is calculated by the compliance of gear tooth, and the mode shape of shaft is simulated by GAMM. The equation of motion of the geared ball screw system is derived by Lagange’s equation, and then the Range-Kutta method is employed to obtain the dynamic characteristics of geared ball screw. The results show that the time-varying gear mesh stiffness is not only dominated by the deformation of gear body, but also influenced by the elastic effect of fillet and foundation of tooth. According to the results, the time-varying gear mesh stiffness considering the elastic effect of fillet and foundation is 20% lower than that without the above effect. The torque of ball screw is obtained by the experimental apparatus in the run-in condition with the various preload conditions, and then is estimated the various gear mesh stiffness. The dynamic characteristics of beating phenomenon is appeared at the geared ball screw with the time-varying gear mesh stiffness effect in the simulation, It has the same relationship from the experimental results in which the modulation and continuous frequency spectrum appear. Above all, the aperiodic motion appear obviously in the dynamic behavior of geared ball system which is still dominated by the time-varying mesh effect of gear engagement.

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Buchteile zum Thema "Gear Engagement Dynamics"

Oliveri, Leonardo, Carlo Rosso und Stefano Zucca. „Influence of Actual Static Transmission Error and Contact Ratio on Gear Engagement Dynamics“. In Nonlinear Dynamics, Volume 1, 143–54. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-54404-5_15.

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Atanasiu, V., und D. Leohchi. „Evaluation of Engagement Accuracy by Dynamic Transmission Error of Helical Gears“. In New Trends in Mechanism Science, 421–28. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-9689-0_49.

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Konferenzberichte zum Thema "Gear Engagement Dynamics"

Prajapati, Gaurang, Amar Penta und Prasad Warule. „AMT Reverse Gear Engagement Dynamics and Control“. In Symposium on International Automotive Technology 2019. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2019. http://dx.doi.org/10.4271/2019-26-0046.

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Wu, Guangqiang, und Shuo Sun. „Simulation and Experiment Research on Shuffle and Clunk in Gear Shifting Process“. In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85178.

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The dynamics model of gear shifting process considering the state of clutch and synchronizers and the process of engagement and disengagement is established to realize the continuous simulation of the entire shifting process. The pitching dynamics module is introduced based on the coupled mechanism of torsional, longitudinal and vertical vibration of the system. The simulation reproduces the dynamic responses and states of eight analyzed phases in the whole process. The model is verified from the comparison between simulation and experimental results of four working conditions. Based on the simulation analysis of time-domain and time-frequency domain, the characteristics of shuffle and clunk phenomena are investigated and compared between four working conditions. The key influencing factors of the jerk degree and shuffle intensity are obtained through theoretical analysis, and the verification is made through the simulation comparison of the assessing metrics. The real vehicle test is also carried out focused on shuffle phenomenon. The differences of characteristic frequencies and intensities of shuffle phenomenon in different gear shifting conditions are compared and analyzed.

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Walker, Paul D., und Nong Zhang. „Influence of Engine Harmonics on Synchroniser Mechanism Dynamics“. In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-63911.

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Synchronizer mechanisms play an important role in the selection and engagement of gears in manual, automated manual and dual clutch transmissions (DCT). These mechanisms rely heavily on the balancing of torque loads in cone clutches, dog gears and from losses in the gearbox to ensure repeatable and reliable actuation, with excessive wear on friction and contact surfaces leading to degradation of actuation and potential mechanism failure. Dual clutch transmissions, in particular, provide a unique operating environment for synchronizers, most notably is its actuation with the engine still driving the wheels during normal driving conditions. Thus, the consideration of increased transmitted vibrations through the powertrain must be evaluated to study the impact of these vibrations on the synchronizer. To conduct this investigation this paper develops a detailed multi-body dynamic model of a typical automotive powertrain equipped with a dual clutch transmission. This includes engine models with torque harmonics that capture the instantaneous torque variations from piston firing in the engine. As the main consideration of this paper is the influence of engine harmonics, the semi-definite powertrain model is simplified to a fixed-free system and the response of the synchronizer mechanism to harmonic torque inputs is analyzed. Parametric analysis of the system is conducted to analyze the influence of variables — including gear ratio, torsional damper, system damping, and engine configuration — on the dynamic response of the mechanism. Results demonstrate the influence of each of these variables on synchronizer dynamics in the steady state, with stiffness of torsional damper having the strongest influence on forced vibration. Additionally, results vary significantly between single and dual lay-shaft transmissions.

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Zheng, Ke, Jianjun Hu, Bangzhi Wu und Yin Wang. „Optimization Design and Analysis for Pre-Shift Control Parameters of Wet Dual Clutch Transmissions Based on Dynamic Modeling of Synchronizer“. 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/detc2019-97324.

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Abstract The DCTs have increased in prevalence for achieving power uninterrupted shifting and pre-shift process significantly influences the DCTs shift quality. Research on the multistage and nonlinear characteristics of the gear preselect process is not comprehensive so that there are shortcomings such as high impact, long synchronization time and poor economy. In view of above detrimental phenomenon, control parameters optimization is conducted in order to realize fast, smooth and economic pre-shifting on the basis of analyzing the sensitivity of the factors affecting pre-shift process. Considering the engagement of sleeve, synchro ring and dog gear, the multi-body dynamics theory is applied to establish an accurate synchronizer dynamics model. Based on the model, simulations are conducted to confirm factors like sleeve mass, cone angle fluctuating the pre-shift quickness and smoothness, sorting structure parameters according to factors sensitivity. Furthermore, the formula of energy loss characteristics relating to two control parameters which are pre-shift force and pre-shift trigger time is obtained, deriving from exploring the hydraulic loss caused by pre-shift force and the drag torque energy loss created by pre-shift trigger time. The optimal synchronizer structure parameters are obtained by adopting multi-objective optimization method. Simulation results indicate the optimal control parameters improve pre-shift comprehensive performance including quickness, smoothness and economy compared with conventional scheme.

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Berbyuk, Viktor. „Towards Pareto Optimization of Performance of a Generic Synchronizer of Transmission Systems“. In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46773.

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Manual transmissions for passenger cars and trucks are equipped with synchronizer mechanisms. A synchronizer mechanism as a key component of a transmission system must be able to prevent transmission gears from shocking, reduce the noise and it has a great impact on driving comfort and transmission efficiency. Gear shifting improvement with respect to smooth, quick and energy efficient synchronizer’s performance is still an important issue for automotive industry. A synchronization process comprises several phases within which presynchronization, main synchronization, pre-engagement and engagement phases can be recognized. Aiming an understanding of internal dynamics and existing possibilities for optimization of synchronization processes in transmission systems during the main synchronization phase an engineering model of a generic synchronizer mechanism is proposed. The synchronizer mechanism is modeled by a contacting triple-body system consisting of the selector sleeve, the blocker ring and the gearwheel. The algorithm has developed to solve the direct dynamics synchronization problem for the generic synchronizer mechanism. By using the developed algorithm the rotational motion of the contacting triple-body system and the synchronizing torques between contacting interfaces are determined for given vehicle resistance torque, the drag torque, and the control torque applied to the selector sleeve that all together satisfy the equations of motion and guarantee synchronization of the rotational speeds of the sleeve, the blocker ring and the gearwheel for the final time. It is shown that the solution to the direct dynamics synchronization problem for the generic synchronizer mechanism is not unique and it allows formulation different optimization problems. Mathematical statement of multi-objective Pareto optimal control problem for synchronizer mechanism is given. Within the proposed model of the generic synchronizer mechanism the time-comfort Pareto optimal control problem is considered. Assuming that the resistance torque on the synchronizer owing to the vehicle inertia, the drag torque, and the synchronizing torques at the contacting interfaces are substantially constant during the main phase of a synchronization process, the solution to the time-comfort Pareto optimal control problem has been obtained. It was shown that there exist the external control torque (or shift force) applied to the selector sleeve such that the synchronization of rotational speeds of the sleeve, the blocker ring and the gearwheel is guaranteed and the synchronization process is optimal both with respect to minimal possible synchronization time as well as lowest possible inertial load acting on the synchronizer mechanism. Analysis of the obtained Pareto solution is presented.

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Osman, T., und P. Velex. „Coupling Between Dynamic Behavior and Contact Fatigue in Spur Gears“. In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47314.

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The main objective of the paper is to study the possible interactions between contact fatigue and dynamic tooth loads on gears. A specific 3D dynamic gear model is combined to contact fatigue models accounting for crack initiation and propagation. The numerical findings compare well with the experimental evidence from a back-to-back test rig. Five characteristic points on a tooth profile are analyzed and it is shown that contact fatigue on spur gears clearly depends on dynamic phenomena. Finally, the introduction of profile relief is discussed and its positive influence on the risk of failures at engagement is emphasized.

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Lin, Ah-Der, und Jao-Hwa Kuang. „The Bending and Surface Contact Stress Variations in a Mating Plastic Gear Pair“. In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34470.

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A dynamic model of an engaging spur gear pair is proposed to study the distributions and variation of bending and surface contact stresses around the fillet and contacting points for plastic gears. The parameters used in this dynamic model include time-varying mesh stiffness, frictional coefficient, and profile-shifted factor, etc. Due to high sensitivity to heat for plastic material, the influence of temperature on plastic gears has also been taken into consideration in this work. A computational algorithm is developed to simulate the variation of fillet bending and surface contact stresses during the engagement with different speeds. The results indicate that the operating temperature may affect the distribution and the magnitude of bending and surface contact stresses of a plastic gear pair significantly.

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Talbert, Paul B., und 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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Shao, Yimin, Xi Wang, Zaigang Chen und 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 is one of the important dynamic parameters, can be affected. This sudden change in mesh stiffness can induce shock vibration as the faulty gear tooth passes through the engagement zone. In this study, a finite element model representing the crack at the tooth root of a spur gear is developed. The theory is applied to investigate the effect of different crack sizes and the corresponding change in mesh stiffness. In addition, a lumped parameter model is formulated to examine the effect of tooth fault on gear dynamic response.

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Duverger, O., P. Velex, L. Vedmar und P. Sainsot. „A Model of the Dynamic Behavior of Spur Gears With Consideration of Off-Line-of-Action Contacts“. 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-48052.

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Because of deflections under load, contacts on tooth flanks can occur outside the theoretical plane of action between nonconjugated profiles especially when tooth modifications are not appropriate. The main objective of the present paper is to introduce an original model of the dynamic behavior of spur gears when submitted to these particular meshing conditions. The pinion and the gear of a pair are modeled as two rigid cylinders linked by stiffnesses and dampers whose amplitudes and orientations vary in order to simulate the evolutions of the meshing conditions. For the sake of simplicity, only three torsional degrees-of-freedom on the pinion, the gear and the motor are considered. The results show that the contacts between non-conjugated flanks lead to a particular dynamic behavior characterized by i) an actual contact ratio larger than the theoretical one, ii) the possibility of impacts at engagement whose amplitudes depend on transmitted loads and speeds.

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