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Journal articles on the topic 'Dynamic meshing'
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1
Xu, Rui, Jing Zhang, Jiugen Wang, Zihui Wang, Lin Xi, Renjun Li, and Hao Li. "New Method to Determine Dynamic Meshing Force for Spur Gears Considering the Meshing State of Multiple Pairs of Teeth." Applied Sciences 12, no. 9 (May 6, 2022): 4690. http://dx.doi.org/10.3390/app12094690.
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The determination of meshing force and the load sharing ratio of gear teeth is critical to predict the dynamic behavior or the load capacity of gear transmissions. In the previous literature, the dynamic meshing force is usually calculated based on the traditional dynamic model, which ignores the different effects of the meshing characteristics of each pair of teeth on the dynamic behavior of the gear system. In this work, a new calculation method of dynamic meshing force is proposed based on the new dynamic model considering the meshing state of multiple pairs of teeth. The difference between the traditional calculation method and the new calculation method of dynamic meshing force is analyzed. Based on the new dynamic model and new calculation method of dynamic meshing force, the influence of different factors on dynamic response and dynamic meshing force are further discussed. The results show that, compared with the traditional calculation method, this new method can be used to effectively calculate the dynamic meshing force and the load sharing ratio of each pair of teeth with different meshing characteristics. The presented method for the calculation of the dynamic meshing force and the load sharing ratio provides an important reference for analyzing and predicting the dynamic behavior or the load capacity of spur gears, especially the high contact ratio (HCR) gears with contact ratio more than two.
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Fu, Hu Dai, Jin Gang Gao, and Shan Gang Wang. "Dynamic Simulation of Gear Meshing Force Based on ADAMS." Advanced Materials Research 1049-1050 (October 2014): 867–70. http://dx.doi.org/10.4028/www.scientific.net/amr.1049-1050.867.
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It proposes a method for dynamic simulation of gear meshing force on the basis of dynamics analysis software ADAMS in the paper. Three dimensional solid model of parametric helical gear is built by using PRO/E. The data conversion between PRO/E and ADAMS has been realized. The parameters in contact force are confirmed based on the Hertz elastic impact theory. The gear meshing process has been simulated and analyzed by using mechanical system dynamic simulation software ADAMS. The change regulation of meshing force in the time-domain and frequency-domain has been researched under different speed conditions. It is proved that the meshing force of gears can be accurately simulated by using ADAMS. The simulation results of meshing force can provide basic data for the next gear strength analysis. It also can provide the reference for the analysis of gear dynamic optimization, fatigue and stiffness.
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Wang, Xigui, Jian Zhang, Yongmei Wang, Chen Li, Jiafu Ruan, and Siyuan An. "Research on Meshing Gears CIMT Design and Anti-Thermoelastic Scuffing Load-Bearing Characteristics." Materials 15, no. 6 (March 11, 2022): 2075. http://dx.doi.org/10.3390/ma15062075.
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In the process of gear meshing, it is an inevitable trend to encounter failure cases such as contact friction thermal behavior and interface thermoelastic scuffing wear. As one of the cores influencing factors, the gear meshing contact interface micro-texture (CIMT) significantly restricts the gear transmission system (GTS) dynamic characteristics. This subject suggests the contact characteristic model and interface friction dynamics coupling model of meshing gear pair with different CIMT. Considering the influence of gear meshing CIMT on distribution type of hydrodynamic lubricating oil film, contact viscous damping and frictional thermal load, the aforementioned models have involved transient meshing stiffness (TMS) and static transmission accumulated error (STAE). Based on the proposed models, an example verification of meshed gear pair (MGP) is analyzed to reveal the influence of CIMT on the dynamic characteristics of GTS under a variety of micro-texture configurations and input branch power and rated speed/shaft torque conditions. Numerical simulation results indicate that the influence of CIMT on gear dynamic response is extremely restricted by the transient contact regularity of the meshing gear surface. Meshing gears’ dynamic characteristics (especially vibration and noise) can be obviously and effectively adjusted by setting a regular MGP with CIMT instead of random gear surfaces.
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Shan, Li Jun, Wei Dong He, and Tian Min Guan. "Analysis of Nonlinear Characteristics of Double-Crank Ring-Plate-Typed Pin-Cycloid Gear Planetary Drive." Advanced Materials Research 44-46 (June 2008): 711–16. http://dx.doi.org/10.4028/www.scientific.net/amr.44-46.711.
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Double-crank ring-plate-typed pin-cycloid gear planetary drive conquers shortcomings of a traditional pin-cycloid gear planetary drive, whose load-capacity is restricted by rotation-arm bearing dimension. The load-capacity of this kind of new drive is improved greatly and the efficiency of whole machine is 94%. In order to know dynamics reliability of this drive , nonlinear characteristics of double-crank ring-plate-typed pin-cycloid gear planetary drive are analyzed from two sides of transmission error and dynamic meshing process in this paper. A sensitive analytic mathematic model of rod dimension error is set up by kinematics theory. Based on ring-plate-type cycloid drive dynamic meshing characteristics, a rigidity-flexibility combined model of pin-cycloid planetary drive is set up by ANSYS/LS-DYNA module. Meshing process between pin-cycloid gear is simulated by FEM. Instantaneous stress, distortion and dynamic meshing rigidity are computed. Analytical results show that nonlinear meshing rigidity and transmission errors are two main dynamic exciters which cause prototype to vibrate. So, rod dimension error should be reduced in order to increase meshing accuracy, and meshing rigidity of new prototype should be increased in order to reduce vibration. Nonlinear characteristics of the drive can offer some theoretical bases for design of new prototype.
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Feng, Zengming, Fuliang Suo, and Yabing Cheng. "58793 MESHING MECHANISM AND DYNAMIC ANALYSIS OF NEW SILENT CHAIN(Dynamics of Machine Components)." Proceedings of the Asian Conference on Multibody Dynamics 2010.5 (2010): _58793–1_—_58793–5_. http://dx.doi.org/10.1299/jsmeacmd.2010.5._58793-1_.
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Wang, Haiwei, Cheng Ji, Fengxia Lu, Cheng Wang, and Xueyan Sun. "A Generalized Dynamic Model and Coupling Meshing Force Analysis for Planetary Gear Set Transmissions." Applied Sciences 12, no. 12 (June 20, 2022): 6279. http://dx.doi.org/10.3390/app12126279.
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The dynamics analysis of a planetary gear set transmissions requires the creation of completely different models for different gears, which is very tedious. In this paper, a generalized dynamics modeling process is proposed for a three planetary gear set transmissions, and a generalized dynamic model for multiple gears is established by using the lumped mass method. The analysis of meshing force characteristics is carried out for the second gear position, and the meshing frequency coupling phenomenon between the meshing forces of the three planetary gear sets is investigated. The results show that, for the current gear set of meshing force, the meshing frequency components of other gear sets only appear in a part of the speed, and with the increase in speed, certain low-frequency components of other sets that exist at low speed will decrease or even disappear, and the coupling relationship between the meshing forces of different planetary gear sets is not symmetrical.
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Yang, Li, Wu Bao-lin, and Zhu Lin-lin. "Analysis and Calculation of Double Circular Arc Gear Meshing Impact Model." Open Mechanical Engineering Journal 9, no. 1 (March 16, 2015): 160–67. http://dx.doi.org/10.2174/1874155x01509010160.
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The goal of this study is to propose a new theoretical approach for the analysis of the impact of the double circular arc gear meshing. The gear meshing impact dynamic model for four different meshing states was firstly built in the gear system. According to the mechanical dynamics and dynamics of the gear system, the reasons for the meshing impact and the impact type of double-circular-arc gear were analyzed in the paper. The content of the paper covers: (i) analysis of the mechanism of meshing impact; (ii) the practical meshing impact process; (iii) establishment of meshing impact model; (iv) solution of the meshing impact radius; (v) calculation of the meshing impact force in theory. The reverse method and the graphing method were used to determine the starting positions of impact and its coordinate formulas were built. Formula of impact velocity, impact force and impact radius were also established. Impact force is calculated with formulas constructed above. This paper’s target is quite innovative and applicable and the paper gives a new way for double circular arc gear meshing impact research.
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Liu, Xuan, Zongde Fang, Haitao Jia, Ning Zhao, Yunbo Shen, Hui Guo, and Xijin Zhang. "Investigation of Load Sharing and Dynamic Load Characteristics of a Split Torque Transmission System with Double-Helical Gear Modification." Shock and Vibration 2021 (June 29, 2021): 1–22. http://dx.doi.org/10.1155/2021/9912148.
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A new dynamic model for a two-input two-path split torque transmission system which considers meshing error, time-varying meshing stiffness, and meshing-in impact is proposed. Time-varying meshing stiffness and meshing-in impact of each gear pair are accurately calculated based on tooth contact analysis and loaded tooth contact analysis. Equivalent displacements of eccentricity error and installation error along the meshing line of second- and third-stages gears are derived. The modified tooth surface of a third-stage double-helical gear is obtained by optimizing the amplitude of static loaded transmission error and meshing-in impact via nondominated sorting genetic algorithm-II (NSGA-II). Influence of modification on load sharing and dynamic load characteristics of split torque transmission system is investigated. The results indicate that the system’s dynamic meshing force increases when meshing-in impact is accounted for, which is unfavorable for the transmission. Following the modification of a double-helical gear, the dynamic load characteristics of the split torque transmission system are significantly improved, while its load sharing characteristics are improved to a certain extent.
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Hu, Shengyang, Zongde Fang, Yingqiang Xu, Yabin Guan, and Rui Shen. "Meshing impact analysis of planetary transmission system considering the influence of multiple errors and its effect on the load sharing and dynamic load factor characteristics of the system." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 235, no. 1 (January 10, 2021): 57–74. http://dx.doi.org/10.1177/1464419320986285.
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The meshing impact on transmission system and internal meshing gear pair and its impact on the load sharing and dynamic characteristics of the system are not well understood yet. In this paper, the meshing impact models of internal gear pairs and planetary transmission system were successfully constructed, and the meshing impact point, meshing impact time and meshing impact force were accurately obtained. Meshing impact in gear transmission system is obviously affected by eccentricity error, installation error, and other errors. Due to the difference in error of each component, the internal and external gears of each branch lead to different meshing positions, which causes the constant change in meshing impact point, meshing impact time and meshing impact force. This creates difficulties in the analysis of meshing impact characteristics of gear transmission system. Load Tooth Contact Analysis (LTCA) method can be used to accurately analyse the change in position of gear tooth under load condition. Through the dynamic model of planetary transmission system, the influence in component errors on the contact position of tooth surface is obtained. Combining the loaded transmission error of the tooth surface under load and the geometric transmission errors under the influence of component errors, the model of meshing impact for accurately solving the system is deduced, and the influence of meshing impact on the system's load sharing coefficient and dynamic load factor coefficient is analysed. By comparing the planetary transmission system before and after considering the meshing impact of the system, it is found that the system's load-sharing coefficient increases slightly, dynamic load factor coefficient fluctuates significantly, and meshing force becomes more clutter after considering meshing impact.
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Liu, Yang, Yinghou Jiao, Shiyuan Qi, Guangbin Yu, and Mengdi Du. "Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems." Machines 10, no. 12 (November 23, 2022): 1112. http://dx.doi.org/10.3390/machines10121112.
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To reveal the nonlinear dynamic behavior of gear rattling vibration caused by gear backlash, a 2-DOF oscillator model with spring and damping elements was established. Based on the theory of discontinuous dynamical systems, the phase plane of gear motion was divided into three parts: the domain of tooth surface meshing motion, the domain of free motion and the domain of tooth back meshing motion. Introducing the global mapping and local mapping dynamics method, the process of gear teeth from impact to meshing and then impact and meshing was accurately described. The influence of different restitution coefficients on gear impact-meshing motion was studied by numerical simulation. The results showed that the grazing bifurcation caused by gear backlash will lead to complex mapping structures of the system and even chaos. The restitution coefficient directly affects the impact-meshing behavior. The introduction of meshing stiffness and restitution coefficient can reasonably characterize the elastic deformation and energy loss during gear meshing, which provides a theoretical model for the application of the theory of discontinuous dynamical systems to a more complex multi-degree of freedom flexible contact gear transmission system.
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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 which the mesh impact brings to vibration characteristics of the gear dynamic system are concluded. Meshing impact has an inevitable effect on the vibration of the dynamic system. Impact excitation costs 8.5% in maximum of vibration acceleration response, 31% in maximum of instantaneous acceleration, and 4.9% in maximum of spectral component amplitude.
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Mo, Shuai, Ting Zhang, Guoguang Jin, Zhanyong Feng, Jiabei Gong, and Shengping Zhu. "Dynamic Characteristics and Load Sharing of Herringbone Wind Power Gearbox." Mathematical Problems in Engineering 2018 (October 31, 2018): 1–24. http://dx.doi.org/10.1155/2018/7251645.
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In this study, the dynamic model for the herringbone planetary gear transmission system is established by the lumped parameter method based on the system dynamics and the Lagrange equation, and the impact of the support stiffness and the torsional stiffness on dynamic characteristics is studied. The research results have a guiding significance for the design of the herringbone gear transmission system. In this model, the herringbone gear is treated as a special gear coupled by 2 opposite helical gears, where the stagger angle, comprehensive meshing error, support stiffness, support damping, and load inertia are considered in the analysis of dynamics. Moreover, the dynamic characteristic of the carrier is considered as well. By calculating the meshing force curve of the transmission system, the impact of the stagger angle, supporting stiffness, and the torsional stiffness on meshing force and load sharing coefficient is analyzed. The results show that the stagger angle has an obvious impact on load sharing coefficient while it has little impact on maximum meshing force. And the support stiffness has a more obvious impact on the dynamic characteristics of the system. The recommendary support stiffness of the system is that all of the support stiffness of the sun gear, planetary gear, ring gear, and carrier is 107 N/m. The torsional stiffness has little impact on the dynamic characteristics of transmission system, except the torsional stiffness of planetary gear, and carrier has an obvious impact on load sharing coefficient. The commercial software ADAMS carried out dynamics analysis of the transmission system to verify the necessity validity of the theoretical analysis.
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Liu, Hao, Dayi Zhang, Kaicheng Liu, Jianjun Wang, Yu Liu, and Yifu Long. "Nonlinear Dynamic Modeling and Analysis for a Spur Gear System with Dynamic Meshing Parameters and Sliding Friction." Symmetry 15, no. 8 (August 2, 2023): 1530. http://dx.doi.org/10.3390/sym15081530.
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The performance of gear systems is closely related to the meshing parameters and sliding friction. However, the time-varying characteristics of meshing parameters caused by transverse vibration are usually not regarded and the sliding friction has always been ignored in previous studies. Therefore, the influence of the transverse vibration on meshing parameters and sliding friction have not been considered. In view of this, a nonlinear dynamic model for a spur gear system is proposed. The dynamic meshing parameters (pressure angle, backlash, etc.) and the effects of the variations of these parameters on the dynamic mesh force (DMF) and sliding friction are emphasized. The differential equations of motion are derived by the Lagrange method and solved by the Runge–Kutta method. Then, the input speed and friction coefficient are used as control parameters to compare the dynamic responses of the new and previous models. The results show that the meshing parameters and sliding friction are affected by transverse vibration, leading to distinctive nonlinear dynamic responses. This paper can provide a basis for further research and give a better understanding of system vibration control.
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Bai, Zhengfeng, and Zhiyuan Ning. "Dynamic Responses of the Planetary Gear Mechanism Considering Dynamic Wear Effects." Lubricants 11, no. 6 (June 9, 2023): 255. http://dx.doi.org/10.3390/lubricants11060255.
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Gear wear is unavoidable and results in vibrations and decreased performance in a planetary gear system. In this work, the wear phenomenon of the gear teeth surface and the dynamic responses of the planetary gear mechanism are investigated through a computational methodology. Dynamic responses are presented by considering the dynamic wear effects. First, the model of the planetary gear mechanism dynamics is established by considering the nonlinear stiffness and friction of gear surfaces. The dynamic wear model of the gear is then established based on Archard’s wear model. Further, the coupling between the dynamics and wear characteristics of the planetary gear mechanism is presented by considering the dynamic wear effects. Finally, a numerical investigation is conducted. The simulation results reveal severe wear between the sun and planet gears. The wear depth and meshing vibration responses exhibit prominent nonlinear characteristics. The low-order resonance of the meshing frequency becomes more marked as the mesh times and wear increase.
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Shi, Jianfei, Xiangfeng Gou, and Lingyun Zhu. "Dynamic Modeling and Analysis of Involute Spur Gear Transmission System Considering Friction and Multi-State Meshing Conditions." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 38, no. 2 (April 2020): 401–11. http://dx.doi.org/10.1051/jnwpu/20203820401.
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A dynamic model for an involute spur gear system involving multi-state mesh and friction is formulated to analyze the dynamic response and meshing state property under different lubrication conditions, such as an elastohydrodynamic and mixed lubrications as well as dry friction. The dynamic equations of the system under teeth separation, drive-side and back-side tooth meshes are derived respectively based on the meshing principle of the gear transmission and the force analysis acting on teeth. The effects of the different lubrication schemes on the dynamic meshing force and motion orbit of the system are studied. Results show that the lubrication scheme greatly affects the amplitude of dynamic meshing force. However, the influence of the lubrication scheme on the motion orbit depends mainly on the meshing state. It means that the system motion orbit is largely affected by the lubrication scheme without drive-side and back-side tooth impacts, while the orbit is slightly affected by the lubrication scheme when drive-side and back-side impacts occur. Additionally, the dynamic response and meshing property are investigated with the decrease in load by defining three different Poincaré mappings. The system performs a drive-side meshing state as the load is large. The teeth separation is observed periodically with the decrease in load. While, both teeth separation and back-side mesh are observed under small load, which strengthens the impact vibration between the meshing teeth.
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Ren, Fei, Da Tong Qin, and Xiao Ling Wu. "Research on Torsional Vibration Analysis of Herringbone Gear Pairs without Groove." Advanced Materials Research 823 (October 2013): 276–79. http://dx.doi.org/10.4028/www.scientific.net/amr.823.276.
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A torsional dynamic model of a pair of herringbone gear was presented by using a lumped-mass method, in which the meshing integrated error and time-varying meshing stiffness of the herringbone gear pair were taken into account at the same time. A Rugge-Kutta method was used to solve the dynamic differential equations of the system and the dynamic characteristics of the herringbone gear pair under the action of the external torque and internal excitations were obtained. The study provides a theoretical basis with the future other complex multistage herringbone gear drive system dynamics.
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Yin, Minghu, Yahui Cui, Xiangjun Meng, Jinzhong Zuo, and Yuhao Qi. "Dynamic analysis of double-helical gear system considering effect of oil film among meshing teeth." Advances in Mechanical Engineering 12, no. 5 (May 2020): 168781402092011. http://dx.doi.org/10.1177/1687814020920117.
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The oil film among meshing teeth is just like a spring-damping element, and it can dominate the friction and meshing characteristics of the gear pair and influence its dynamic performances further. Thus, this article focuses on a double-helical gear system and makes efforts to consider the effect of the oil film among meshing teeth more deeply, which can enhance the precision of dynamic analysis for the gear system. First, based on the elasto-hydrodynamic lubrication theory and “microtomy” method, the models of friction and meshing characteristics are developed including the friction state and spring-damping effect of the oil film among meshing teeth; then, the dynamic models of the double-helical gear system with the effect of the oil film among meshing teeth are established, and finally, the experiments are carried out to verify the value of the models developed in this article. According to the theoretical and experimental analyses, it can be seen that the dynamic model considering the effect of the oil film among the meshing teeth is more precise and practical, and the effect of the oil film should be considered in the dynamic analysis of the gear system, especially at the condition with heavy load or high speed.
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Xue, Xiang Zhen, and San Min Wang. "Dynamic Characteristics and Load Coefficient Analysis of Involute Spline Couplings." Advanced Materials Research 889-890 (February 2014): 450–54. http://dx.doi.org/10.4028/www.scientific.net/amr.889-890.450.
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As one of the important components of aviation and space transmission systems, dynamic characteristics of involute spline couplings influence its lifetime and reliability seriously. Here, taking the backlash of spline joint into account, considering the meshing stiffness varying with the teeth engaged, established the dynamic model with varying stiffness and dynamic equations, and calculated the number of actual meshing teeth and comprehensive meshing stiffness while bearing the varying torque, then, solved dynamic equations using the fourth order Runge - Kutta method, finally, get the teeth meshing number is 23,and the maximum dynamic load coefficient gets smaller from 1.19 to1.15 with the decrease of . This provides a numerical basis for wear`s studying and lifetime`s forecasting of involute spline coupling.
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Cai, Yiqi, Xiaohu Guo, Zichun Zhong, and Weihua Mao. "Dynamic meshing for deformable image registration." Computer-Aided Design 58 (January 2015): 141–50. http://dx.doi.org/10.1016/j.cad.2014.08.009.
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Deb, Arghya, Jean H. Prevost, and Benjamin Loret. "Adaptive meshing for dynamic strain localization." Computer Methods in Applied Mechanics and Engineering 137, no. 3-4 (November 1996): 285–306. http://dx.doi.org/10.1016/s0045-7825(96)01068-7.
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Abdessemed, Chawki, Yufeng Yao, Abdessalem Bouferrouk, and Pritesh Narayan. "Morphing airfoils analysis using dynamic meshing." International Journal of Numerical Methods for Heat & Fluid Flow 28, no. 5 (May 8, 2018): 1117–33. http://dx.doi.org/10.1108/hff-06-2017-0261.
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Purpose The purpose of this paper is to use dynamic meshing to perform CFD analyses of a NACA 0012 airfoil fitted with a morphing trailing edge (TE) flap when it undergoes static and time-dependent morphing. The steady CFD predictions of the original and morphing airfoils are validated against published data. The study also investigates an airfoil with a hinged TE flap for aerodynamic performance comparison. The study further extends to an unsteady CFD analysis of a dynamically morphing TE flap for proof-of-concept and also to realise its potential for future applications. Design/methodology/approach An existing parametrization method was modified and implemented in a user-defined function (UDF) to perform dynamic meshing which is essential for morphing airfoil unsteady simulations. The results from the deformed mesh were verified to ensure the validity of the adopted mesh deformation method. ANSYS Fluent software was used to perform steady and unsteady analysis and the results were compared with computational predictions. Findings Steady computational results are in good agreement with those from OpenFOAM for a non-morphing airfoil and for a morphed airfoil with a maximum TE deflection equal to 5 per cent of the chord. The results obtained by ANSYS Fluent show that an average of 6.5 per cent increase in lift-to-drag ratio is achieved, compared with a hinged flap airfoil with the same TE deflection. By using dynamic meshing, unsteady transient simulations reveal that the local flow field is influenced by the morphing motion. Originality/value An airfoil parametrisation method was modified to introduce time-dependent morphing and used to drive dynamic meshing through an in-house-developed UDF. The morphed airfoil’s superior aerodynamic performance was demonstrated in comparison with traditional hinged TE flap. A methodology was developed to perform unsteady transient analysis of a morphing airfoil at high angles of attack beyond stall and to compare with published data. Unsteady predictions have shown signs of rich flow features, paving the way for further research into the effects of a dynamic flap on the flow physics.
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Jiang, Li Dong, Bao Xing Liu, Zhen Rong Zhu, and Ying Li Chen. "Study on the Dynamic Excitation of the Star Gearing." Applied Mechanics and Materials 86 (August 2011): 116–19. http://dx.doi.org/10.4028/www.scientific.net/amm.86.116.
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Study on the dynamic excitation is the basis of dynamic response analysis of gearbox. In the paper, the dynamic coupled model of the star gearing was established. By analyzing the casing substructure and extracting the coherency nodes, the gearing and casing was coupled. On the basis of analyzing dynamic meshing stiffness and transmission error, the dynamic meshing force of the star gearing was analyzed and calculated. By converting the dynamic meshing force, the dynamic force on the bearing was obtained. The dynamic excitation for dynamic response analysis of casing was achieved by applying the load on the coherency nodes. The method used in the paper has provided proper dynamic excitation for the dynamic response analysis of casing.
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Jin, Bohan, Yushu Bian, Xihui Liu, and Zhihui Gao. "Dynamic Modeling and Nonlinear Analysis of a Spur Gear System Considering a Nonuniformly Distributed Meshing Force." Applied Sciences 12, no. 23 (November 30, 2022): 12270. http://dx.doi.org/10.3390/app122312270.
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In previous studies, the meshing force of a gear system is usually treated as being uniformly distributed for the convenience of analysis. In practical applications, however, it is nonuniformly distributed along the line of action due to machining errors, assembly errors, misalignment errors, etc. When a nonuniformly distributed meshing force is coupled with the shaft deformation, dynamic center distance, and time-varying meshing stiffness, the transmission performance of the gear system will be seriously degraded. Therefore, a nonuniformly distributed meshing force cannot be ignored when considering the gear systems used in complicated working conditions. In this study, the gear’s nonuniformly distributed meshing force is analyzed. Then, an 18 degrees-of-freedom bending-torsion-swing-coupled dynamic model of a pair of involute spur gears is put forward. Through this model, the coupling relationship between the nonuniformly distributed meshing force, shaft bending deformation, and dynamic center distance is accurately described. The influence of meshing frequency, stiffness excitation, damping, and error excitation on the nonlinear dynamic characteristics of the gear system was researched through bifurcation diagrams, phase diagrams, Poincaré maps, and time-domain diagrams. Various complicated nonlinear dynamic behaviors, such as quasiperiodic motion, bifurcation, chaotic motion, and chaotic banding, are revealed. Reasonable parameter ranges that guarantee the gear system is in a stable motion were extracted. By evading complicated nonlinear dynamic behavior, the transmission performance of a gear system was improved. This research will contribute to reducing the vibration and noise of gear systems.
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Renping, Shao, Purong Jia, and Xiankun Qi. "3-D elastic coupling vibration and acoustical radiation characteristics of cracked gear under elastic support condition." Journal of Vibration and Control 23, no. 9 (October 23, 2015): 1548–68. http://dx.doi.org/10.1177/1077546315596482.
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According to the actual working condition of the gear, the supporting gear shaft is treated as an elastic support. Its impact on the gear body vibration is considered and investigated and the dynamic response of elastic teeth and gear body is analyzed. On this basis, the gear body is considered as a three-dimensional elastic disc and the gear teeth are treated as an elastic cantilever beam. Under the conditions of the elastic boundary (support shaft), combining to the elastic disk and elastic teeth, the influence of three-dimensional elastic discs on the meshing tooth response under an elastic boundary condition is also included. A dynamic model of the gear support system and calculated model of the gear tooth response are then established. The inherent characteristics of the gear support system and dynamics response of the meshing tooth are presented and simulated. It was shown by the results that it is correct to use the elastic support condition to analyze the gear support system. Based on the above three-dimensional elastic dynamics analysis, this paper set up a dynamics coupling model of a cracked gear structure support system that considered the influence of a three-dimensional elastic disc on a cracked meshing tooth under elastic conditions. It discusses the dynamic characteristic of the cracked gear structure system and coupling dynamic response of the meshing tooth, offering a three-dimensional elastic body model of the tooth root crack and pitch circle crack with different sizes, conducting the three-dimensional elastic dynamic analysis to the faulty crack. ANSYS was employed to carry out dynamic responses, as well as to simulate the acoustic field radiation orientation of a three-dimensional elastic crack body at the tooth root crack and pitch circle with different sizes.
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Xu, Jinchi, Xiaopeng Li, Renzhen Chen, Linlin Wang, Zemin Yang, and Hexu Yang. "Dynamic Characteristics Analysis of Gear-Bearing System Considering Dynamic Wear with Flash Temperature." Mathematics 9, no. 21 (October 28, 2021): 2739. http://dx.doi.org/10.3390/math9212739.
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The influence of the dynamic wear model considering the tooth contact flash temperature on the dynamic characteristics of a gear-bearing system is studied. Firstly, the meshing stiffness model, based on flash temperature theory, is established. Then, the changing of tooth surface temperature and meshing stiffness in the process of gear meshing is analyzed. Next, the initial tooth surface wear is calculated based on the Archard theory, and the dynamic wear model of the system is established. Finally, the effects of initial wear, friction factors, and damping ratio on the system response are studied. The results show that with the increase of fractal dimension D, the uncertainty and the fluctuation amplitude of backlash decrease, and the meshing force decreases. Therefore, the initial tooth surface wear is reduced, and the stability of the system response with a dynamic wear model is improved; with the increase of the friction coefficient, the tooth surface flash temperature rises, and the root mean square value of the vibration displacement of the system amplifies, which indicates that the system tends to be unstable; with the increase of damping ratio, the system changes from unstable quasi-periodic and chaotic motion to the stable periodic motion. The increase of damping accelerates the energy loss of the system and makes the system prone to be stable.
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Jia, Hanjie, Jiyong Zhang, and Xiangyang Xu. "Dynamic Modeling and Analysis of Epoxy Gear Considering Material Viscoelasticity." Machines 11, no. 1 (January 8, 2023): 76. http://dx.doi.org/10.3390/machines11010076.
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With improvements in lubrication and material strength, the power transmitted by plastic gears has increased significantly. To develop high-performance transmission systems, it is necessary to gain deep insights into the dynamic characteristics of plastic gears. However, because plastics are viscoelastic materials, they do not obey Hooke’s law, which is the basis of traditional gear dynamic models. In this study, a refined dynamic model for an epoxy gear pair considering material viscoelasticity and extended tooth contact is established, and the differences in the dynamic responses between an epoxy and a steel gear pair are compared with respect to the dynamic meshing force and dynamic transmission error. The results show that: (1) the plastic gear can restrain the meshing impact, it has a generally lower dynamic meshing force than steel gear pair; (2) the position accuracy is the weak point of plastic gears, and this is significantly affected by the rotation speed; (3) the way to indirectly evaluate the dynamic meshing force by measuring the dynamic transmission error, which is often used for metal gears and is less effective for plastic gears.
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Ma, Ying Chen, Yan Wang, Ji Sheng Ma, and Hai Ping Liu. "Dynamic Simulation of 2K-H Differential Gear Train with Time-Varying Meshing Stiffness." Advanced Materials Research 314-316 (August 2011): 1603–6. http://dx.doi.org/10.4028/www.scientific.net/amr.314-316.1603.
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Taking 2K-H differential gear train as study object, dynamic equation of torsion vibration was established with influence of time-varying meshing stiffness. The virtual-prototype with nonlinear meshing force was modeled using Virtual.Lab Motion software. Gear contact force was simulated, and it was verified by theoretical data. The reason of meshing vibration is analyzed. The results show that time-varying meshing stiffness is the main excitation of gear system, and gear system is vibratory although the input and output are stable, and the basic frequency is meshing frequency. This research lays foundation for strength checking, optimum design and fatigue life prediction.
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Li, Qing, Yu Guo, and Tai Yong Wang. "Dynamic Contact Analysis of the Offset Face Gear." Advanced Materials Research 189-193 (February 2011): 1793–98. http://dx.doi.org/10.4028/www.scientific.net/amr.189-193.1793.
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The face gear drive is a gear meshing drive with cylindrical gear and bevel gear. Because of its small space, high contact ratio, large transmission torque, low vibration and noise, not sensitive to the axial phase error of the worm and so on, face gear transmission is widely applied. In the traditional gear transmission dynamic contact analysis (TCA), first, simulate the meshing equation; second, calculate the contact trajectory that is formed by the adherent point; last, solve each of the instantaneous contact areas and solve tooth contact region in meshing process. But it can’t solve the tail, diamond and other high contact defects. In the real mesh transmission, tooth meshing is very complex, including edges contact, multi-tooth engagement and many other issues. With the progress of the times, using finite element analysis software ANSYS, it will be able to simulate the dynamic contact analysis of the gear. In this paper, the offset face gear as the research object, with MATLAB program, Solidworks and ANSYS software, establish the mathematical model of the orthogonal offset face gear, simulate its geometric model in the three-dimensional software. Finally, implement the simulation of its dynamic contact meshing in the finite element analysis software.
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Wang, Bin, and Xin Bo Chen. "Meshing Efficiency of Involute Helical Gears Based on Elastohydrodynamic Lubrication." Applied Mechanics and Materials 597 (July 2014): 450–53. http://dx.doi.org/10.4028/www.scientific.net/amm.597.450.
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To analyze the dynamic efficiency of helical gear during meshing process, a meshing efficiency model based on elastohydrodynamic lubrication (EHL) was established. The meshing plane between the pinion and gear was divided into seven parts in accordance to the regularity of unit load distribution. The total meshing power lose and average meshing power lose were calculated through a double integration method. The simulation results show that the method is feasible to calculate the meshing efficiency of gear pairs.
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Cui, Tingqiong, Yinong Li, Chenglin Zan, and Yuanchang Chen. "Dynamic Modeling and Analysis of Nonlinear Compound Planetary System." Machines 10, no. 1 (January 1, 2022): 31. http://dx.doi.org/10.3390/machines10010031.
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In the vehicle composite planetary gear transmission system, nonlinear excitations such as time-varying meshing stiffness, backlash and comprehensive error would lead to large vibration and noise, uneven load distribution, unstable operation and other problems. To address these issues, this work focuses on compound planetary gears and develops the bending-torsion coupling nonlinear dynamic model of the system based on the Lagrange equation. There are internal and external multi-source excitations applied to the system. This model is used to study the bending-torsion coupling meshing deformation relationship of each meshing pair along with the translational and torsional directions. The natural frequencies and vibration modal characteristics of the system are extracted from the model, and the influence of rotational inertia and meshing stiffness on the inherent characteristics of the system are studied. The coupling vibration characteristics of the system under operating condition are analyzed in terms of the inherent characteristics and time–frequency characteristics of the system. The simulation results exhibit that the planetary gear system has three modes. The change in natural frequency trajectory has two phenomena: modal transition and trajectory intersection. The main frequencies include engine rotating frequency, meshing frequency and its double frequency, and the rotation frequency and harmonic frequency of the engine have a great influence on the vibration response of the system. Finally, the virtual prototype of the composite planetary system is used to verify the accuracy of the established model from speed, inherent characteristics, meshing force and frequency composition.
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Wang, Cheng. "Dynamic model of a helical gear pair considering tooth surface friction." Journal of Vibration and Control 26, no. 15-16 (January 14, 2020): 1356–66. http://dx.doi.org/10.1177/1077546319896124.
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The tooth surface friction is one of the main sources of gear vibration and noise. The current challenging problems in research of a helical gear pair dynamics considering tooth surface friction include the following: (1) Calculation accuracy of the tooth surface friction factor needs to be improved. (2) The meshing process of a helical gear pair has not been fully taken into account in a dynamic model. To solve these problems, a dynamic model of a helical gear pair considering tooth surface friction is proposed in this article. First, based on the tooth contact analysis and loaded tooth contact analysis of a helical gear pair, excitation of time-varying meshing stiffness, the sliding friction coefficient on tooth surface, and the arm of friction force are preliminarily calculated. Second, the dynamic model of a helical gear pair considering tooth surface friction is built and solved, in which the dynamic meshing force/speed/displacement is calculated. The sliding friction coefficient on tooth surface, arm of friction force, and dynamic equations form a coupled system. By decoupling calculation, the model system equations are solved. Finally, an example is presented to verify the proposed model.
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Zhao, Guang, Zhansheng Liu, and Feng Chen. "Meshing Force of Misaligned Spline Coupling and the Influence on Rotor System." International Journal of Rotating Machinery 2008 (2008): 1–8. http://dx.doi.org/10.1155/2008/321308.
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Meshing force of misaligned spline coupling is derived, dynamic equation of rotor-spline coupling system is established based on finite element analysis, the influence of meshing force on rotor-spline coupling system is simulated by numerical integral method. According to the theoretical analysis, meshing force of spline coupling is related to coupling parameters, misalignment, transmitting torque, static misalignment, dynamic vibration displacement, and so on. The meshing force increases nonlinearly with increasing the spline thickness and static misalignment or decreasing alignment meshing distance (AMD). Stiffness of coupling relates to dynamic vibration displacement, and static misalignment is not a constant. Dynamic behaviors of rotor-spline coupling system reveal the following: 1X-rotating speed is the main response frequency of system when there is no misalignment; while 2X-rotating speed appears when misalignment is present. Moreover, when misalignment increases, vibration of the system gets intricate; shaft orbit departs from origin, and magnitudes of all frequencies increase. Research results can provide important criterions on both optimization design of spline coupling and trouble shooting of rotor systems.
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Zhang, Wei, Bei Bei Sun, and Xiao Bo Kang. "Modeling and Analysis of Main Drive Train in a Power-Driven Turret." Advanced Materials Research 139-141 (October 2010): 943–46. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.943.
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This work investigates dynamics of a three-stage gear system in a new power-driven turret. This paper mainly consists to develop two kinds of dynamic models of the main drive train. One is the dynamic contact model of the gear system to calculate the dynamic meshing forces and the tooth root stresses. The other is a virtual prototype model adequately incorporating the deformability of the bearings to analyze the dynamical response. The dynamic meshing force and the tooth root stress were compared with the theoretically calculated results. The vibration acceleration signals of the turret were gathered by tests. According to the experimental data, the simulation results of the virtual prototype model were given based on which the rationality of the virtual prototype model is verified.
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Chen, Zhiqun, Chao Wang, Dong Li, Feng Zhu, and Yu Liu. "Dynamic characteristics of the rack and pinion lift mechanism of the combined command cabin." Journal of Physics: Conference Series 2557, no. 1 (July 1, 2023): 012009. http://dx.doi.org/10.1088/1742-6596/2557/1/012009.
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Abstract This paper presents a novel approach to accurately simulate the dynamic characteristics of a rack and pinion lifting mechanism while accounting for the coupling effect of meshing tooth pair stiffness and grease characteristics in real-world environments. A structure-grease coupling meshing stiffness model is established based on the deformation coordination conditions of the tooth pair meshing. The model incorporates the effect of the grease stiffness term on the time-varying meshing stiffness of the rack and pinion. By analyzing the dynamic characteristics of the combined command cabin lifting mechanism using this model, we find that the total meshing stiffness of the gear teeth is lower when the transient thermoelastic flow effect of the grease is considered. Furthermore, the total stiffness value decreases as the normal meshing force at the meshing point decreases. This research reveals that the worst lubrication conditions are typically found on the gear wheel teeth near the base circle, where the grease film temperature rise is highest, the grease film pressure is highest, and the grease film thickness is thinnest.
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Gong, Fei, Rupeng Zhu, Pingjun Li, and Jian Li. "Analysis of Nonlinear Vibration Characteristics of the Concentric Face-Gear Split-Torque Transmission System." Mathematical Problems in Engineering 2022 (March 8, 2022): 1–18. http://dx.doi.org/10.1155/2022/1977367.
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The concentric face-gear split-torque transmission system (CFGSTTS) is a new type of transmission that has significant applications in helicopter main gearboxes. To study the influence of various parameters on the dynamic characteristics of the CFGSTTS, a 23-degree-of-freedom translation-torsion nonlinear dynamic model was established based on the lumped parameter theory. The model includes tooth backlash, error excitation, time-varying meshing stiffness with meshing phase difference, meshing damping, and elastic support deformation. The excitation conditions for the time-varying meshing stiffness of face-gear pairs were calculated based on the strain energy theory. The bifurcation characteristics of the system with different parameters were obtained by the nonlinear dynamics numerical analysis method. The research shows that the system exhibits rich vibration response characteristics at different rotating speeds. The amplitude of the vibration displacement in the system bifurcation diagram increases significantly with the increase of the tooth backlash and input torque, whereas the amplitude decreases constantly with the increase of the meshing damping. The critical rotational speed at which chaotic motion occurs increases significantly with increasing input torque and damping ratio but decreases with increasing tooth backlash. The bearing clearance has a weak influence on the vibration displacement amplitude of the system and the speed range of chaotic motion.
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Hu, Shengyang, Zongde Fang, Chao Liu, and Long Xiang. "Measurements and theoretical analysis of a helical gear meshing impact signal." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 233, no. 4 (June 8, 2019): 827–39. http://dx.doi.org/10.1177/1464419319853435.
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Meshing impact is an important factor that affects gear vibration and noise. Therefore, it is of great theoretical and practical significance to study the characteristics of offline meshing impact to reduce the vibration caused by meshing impact. Currently, a single-pair gear is the research goal, ignoring complex coupling relationships between systems, and the established numerical solution formula of the meshing impact cannot be verified. By using Hilbert demodulation and instantaneous frequency, this study obtained the meshing impact signal from the dynamic transmission error signal of the experiment and obtained the maximum deformation caused by the meshing impact. The meshing stiffness of a single tooth was obtained by loaded tooth contact analysis and tooth contact analysis, and the meshing impact force was calculated. The dynamic model of the meshing impact considering the contact ratio was established to compare with the obtained force in the experiment. The method of measuring the meshing impact signal from experiments has not been reported in relevant literature. The method has the advantages of being extensive, accurate and convenient, and it is not affected by the complexity of the system. At the same time, this method can be used to determine the gear teeth with meshing impact in the course of operation and provide a basis for real-time shape modification and design. Therefore, it is of great significance.
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Gu, Yihong, and Gaoan Zheng. "Dynamic Evolution Characteristics of the Gear Meshing Lubrication for Vehicle Transmission System." Processes 11, no. 2 (February 12, 2023): 561. http://dx.doi.org/10.3390/pr11020561.
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The transmission in automobiles is the core component to ensure operational stability. Heat accumulation in the meshing process will reduce the transmission efficiency and affect the service life. Here, the essential physical process to improve transmission heat dissipation is the dynamic evolution process and the thermal transfer characteristics of lubricating oil fields during gear meshing. This paper presents a modeling and solving method for gear meshing lubrication and thermal transfer features based on the volume of the fluid model and piecewise linear interface construction (VOF-PLIC). The dynamic mesh technique combines spring smoothing and reconstruction to optimize the numerical solution process. The dynamic evolution law of gear meshing lubrication and thermal transfer is obtained by analyzing the lubrication evolution process under different speed/steering conditions. The results show that the proposed modeling and solving method could well reveal the lubrication and thermal transfer laws of the gear meshing. The temperature of the gear meshing regions was higher than that in the other regions, and the lubrication temperature showed an increasing linear trend with the stirring process. As the gear speed increased, the meshing resistance moment increased, the transmission power loss increased, and the lubrication oil temperature was larger than that of the gearbox. The power loss under the clockwise rotation of the driving gear G4 was higher than that under the counterclockwise rotation of the driving gear. The relevant results can provide theoretical references for the dynamic analysis of automotive transmission lubrication and technical support for gear profile design and lubrication optimization.
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Zhang, Donglin, Rupeng Zhu, Miaomiao Li, Wuzhong Tan, and Pingjun Li. "Meshing Stiffness Parametric Vibration of Coaxial Contrarotating Encased Differential Gear Train." Mathematical Problems in Engineering 2021 (February 26, 2021): 1–13. http://dx.doi.org/10.1155/2021/8950945.
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Planetary gears are widely used in mechanical transmission systems, but the vibration and noise affect their reliability and life. In this paper, the torsional dynamic model of an encased differential planetary gear with coaxial contrarotating outputs considering the time-varying meshing stiffness, damping, and phase difference of all gear pairs is established. By solving the equations of the derived system, three types of natural frequencies with different multiplicities of the system are obtained. The multiscale method is used to study the parametric vibration stability caused by the time-varying meshing stiffness, and the results are verified by numerical simulation. The dynamic characteristics of elastic meshing force are analyzed from time domain and frequency domain. The variation of the dynamic load factor of each gear pair with input speed and the relationship between its peak position and the natural frequency of the derived system are discussed. The results show that there is an unequal coupling phenomenon of meshing frequency between the meshing forces of different planetary sets. In the absence of external excitation, the meshing stiffness parameters not only excite the main resonance response of the system but also cause superharmonic resonance, subharmonic resonance, and combined resonance.
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Wang, Wen Shan, Jing Xu, and Zai Xiang Zheng. "Kinematic and Dynamic Simulation of Automotive Manual Transmission." Applied Mechanics and Materials 268-270 (December 2012): 1044–48. http://dx.doi.org/10.4028/www.scientific.net/amm.268-270.1044.
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In the study, a five-speed manual transmission of commercial vehicles is modeled and assembled with three-dimensional (3D) software SolidWorks. In order to analyze the kinematic and dynamic performance of the manual transmission, its 3D model is imported into the software ADAMS and the Hertz elastic contact theory is applied to calculate the contact force and deformation of the meshing gears. Finally, the speed and meshing force of the meshing gears have been obtained, which are consistent with the actual situation. This method can provide guidance for the design of the key components of the transmission, and thus can shorten the development cycle and reduce the development cost of the transmission.
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Yao, Lingling, Zhuo Meng, Jianqiu Bu, and Yize Sun. "Non-Linear Dynamic Feature Analysis of a Multiple-Stage Closed-Loop Gear Transmission System for 3D Circular Braiding Machine." Symmetry 12, no. 11 (October 28, 2020): 1788. http://dx.doi.org/10.3390/sym12111788.
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Aiming at the particularity of a multiple-stage closed-loop gear transmission system for 3D circular braiding machine, the model of gear transmission system in radial braiding machine was simplified. The non-linear dynamic equations of a n-elements closed-loop gear transmission system with symmetrical structure including static transmission error, the random disturbance of meshing damping and backlash were considered. For convenience of calculation n = 3, the equations were solved numerically by using Runge-Kutta. The dynamic transmission error(DTE) with different backlash, dynamic meshing forces with and without the random disturbance of meshing damping, the amplitude of dynamic transmission error at n = 1000 r/min and b = 2.65 × 10−5 m, root mean square(RMS) of DTE and the mean value of DTE of the first pair of gears were analyzed. The simulation results show that different backlash and the random disturbance of meshing damping have a great influence on the dynamic displacement error and meshing force of the gear pair, and RMS and the mean value of DTE changes at different rotational speeds. The results will provide a reference for realizing the smoothness of the closed-loop gear transmission system with symmetrical structure for 3D braiding machine and have great practical significance for improving the braiding quality.
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Chen, Yuan, Rupeng Zhu, Guanghu Jin, Yeping Xiong, Jie Gao, and Meijun Liao. "A New Mathematical Modeling Method for Four-Stage Helicopter Main Gearbox and Dynamic Response Optimization." Complexity 2019 (February 26, 2019): 1–13. http://dx.doi.org/10.1155/2019/5274712.
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A new mathematical modeling method, namely, the finite element method and the lumped mass method (LMM-FEM) mixed modeling, is applied to establish the overall multinode dynamic model of a four-stage helicopter main gearbox. The design of structural parameters of the shaft is the critical link in the four-stage gearbox; it affects the response of multiple input and output branches; however, only the meshing pairs were frequently shown in the dynamic model in previous research. Therefore, each shaft is also treated as a single node and the shaft parameters are coupled into the dynamic equations in this method, which is more accurate for the transmission chain. The differential equations of the system are solved by the Fourier series method, and the dynamic response of each meshing element is calculated. The sensitivity analysis method and parameter optimization method are applied to obtain the key shaft parameters corresponding to each meshing element. The results show that the magnitude of dynamic response in converging meshing pair and tail output pair is higher than that of other meshing pairs, and the wall thickness has great sensitivity to a rotor shaft. In addition, the sensitivity analysis method can be used to select the corresponding shaft node efficiently and choose parameters appropriately for reducing the system response.
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Liu, Xian Zeng, and Jun Zhang. "Dynamic Analysis of Helical Planetary Gear Train." Applied Mechanics and Materials 404 (September 2013): 312–17. http://dx.doi.org/10.4028/www.scientific.net/amm.404.312.
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A dynamic model for helical planetary gear train (HPGT) is proposed. Based on the model, the free vibration characteristics, steady-state dynamic responses and effects of design parameters on system dynamics are investigated through numerical simulations. The free vibration of the HGPT is classified into 3 categories. The classified vibration modes are demonstrated as axial translational and torsional mode (AT mode), radial translational and rotational mode (RR mode) and planet mode (P mode) followed by the characteristics of each category. The simulation results agree well with those of previous discrete model when neglecting the component flexibilities, which validates the correctness of the present dynamic model. The steady-state dynamic responses indicate that the dynamic meshing forces fluctuate about the average static values and the time-varying meshing stiffness is one of the major excitations of the system. The parametric sensitivity analysis shows that the impact of the central component bearing stiffness on the dynamic characteristic of the HPGT system is significant.
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Wang, Xinlei, Changle Xiang, Chunming Li, Shenlong Li, Yimin Shao, and Liming Wang. "Effect of roughness on meshing power loss of planetary gear set considering elasto-hydrodynamic lubrication." Advances in Mechanical Engineering 12, no. 2 (February 2020): 168781402090842. http://dx.doi.org/10.1177/1687814020908422.
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Meshing power loss is one of the most important parts in power loss calculation of planetary gear set. However, most of the conventional methods assumed the friction coefficient between gears as a constant value in the meshing power loss calculation, and most importantly, the influence of gear tooth surface geometry is usually ignored, for example, roughness. Therefore, a new meshing power loss calculation model for planetary gear set that considers tooth surface roughness is proposed on the basis of elasto-hydrodynamic lubrication method. With the proposed model, a planetary gear set dynamic model that considers friction force between gears is first established to study the time-varying meshing forces, sliding speeds, and curvature radii of the gear pairs. Then, an elasto-hydrodynamic lubrication model of the gear pair contact interface is constructed to investigate and modify the friction force distribution in the gear meshing process of the dynamic model iteratively until the meshing forces converge to stable values. Furthermore, the relationship between the tooth surface roughness and film thickness is studied in the elasto-hydrodynamic lubrication model. After that, the meshing power loss is calculated based on the obtained meshing forces, friction coefficients, sliding speeds, and so on. The results show that there is a sudden growth of the meshing power loss at the end of the meshing cycle, which has a good agreement with the meshing force impact. And, it is found that tooth surface roughness has a direct influence on the meshing power loss of sun–planet gear pair, which yields an increasing tendency as the surface roughness growing.
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Feng, Li Yan, Ying Juan Liu, Wen Zhi Xie, and Jing Wei Huang. "Dynamic Contact Simulation Analysis of Spiral Bevel Gear Based on ANSYS/LS-DYNA." Advanced Materials Research 912-914 (April 2014): 649–52. http://dx.doi.org/10.4028/www.scientific.net/amr.912-914.649.
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The meshing of spiral bevel gear is a very complicated nonlinear process.In order to obtain a more realistic stress , we take a pair of spiral bevel gear on EMU as the example to construct an accurate modeling with Pro/E and analyze its dynamics contact simulation with ANSYS/LS-DYNA. It calculates the distribution of the tooth surface’s stress during the entire dynamic meshing process. The curves of the tooth’s effective stress on different parts changing over time are obtained. At last, we make theoretical analysis on the calculation results.
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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 results contrastively prove the feasibility of co-simulation for obtaining the dynamic characteristics of gear meshing process.
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Li, Bao Liang, Shuai Gao, and Xiao Wei Hu. "Research on the Involute Helical Gear Meshing Based on Friction Dynamics." Applied Mechanics and Materials 281 (January 2013): 225–29. http://dx.doi.org/10.4028/www.scientific.net/amm.281.225.
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Based on the virtual prototyping technology, the involute helical gears of a common single-stage reducer are taken as the research object, the friction dynamic model is established using ADAMS. Considering the influence of the contact friction during the gear meshing process, the simulation analysis is realized. The simulation analysis results are basically in conformity with that of the theoretic calculation. The variations of the relative sliding velocity, the friction coefficient and the friction force during the meshing process are researched, and the relationship between the relative sliding velocity and the friction coefficient is studied. The results show that the friction dynamics research on the involute helical gear meshing can be resolved by Virtual Prototyping Technology, which can provide a new method to study the tribological properties of the gear meshing. The method has a good prospect in practical engineering application.
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Zhang, Yanchao, Jinfu Du, Jin Mao, and Min Xu. "Dynamic Analysis of High-Speed Helical Gear Transmission in Pure Electric Vehicle Gearbox." Shock and Vibration 2020 (December 5, 2020): 1–19. http://dx.doi.org/10.1155/2020/6639372.
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This study is to systematically analyze the influences of time-varying meshing stiffness (TVMS) and meshing impact on the dynamic characteristics of high-speed gear transmission in the two-stage pure electric vehicle (PEV) gearbox, as well as the effect of tooth surface modification on the vibration control. First, the dynamic model was established, and the TVMS and meshing impact were calculated. Then, the vibration characteristics of single-stage and two-stage helical gear transmission were analyzed under three different excitation conditions, excitation of TVMS, excitation of meshing impact, and excitation of both. The results show that the effect of rotating speed on the system vibration is not significant outside the resonant region under the excitation of TVMS, while the effect of meshing impact becomes the main exciting component with the increasing rotating speed. The vibrations of the two gear pairs interact with each other; the vibration frequency of one gear pair contains both its meshing frequency and the coupling frequency of the other gear pair. Tooth surface modification in the input-stage gear pair can reduce the vibration of both the input- and the output-stage obviously; that is, more attention should be paid to the input-stage gear pair in the modification design of PEV gearbox.
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Li, Wen Liang, Li Qin Wang, Xiao Li Zhao, and Gang Chen. "The Effect of Helical Gear Parameters on the Meshing Noise." Advanced Materials Research 418-420 (December 2011): 2060–64. http://dx.doi.org/10.4028/www.scientific.net/amr.418-420.2060.
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In this paper, the gear acceleration noise model is first built up. The theoretical formula for calculating meshing acceleration noise is developed by dynamic analysis. Base on the impact theory, we first treat the gear meshing behavior as two variable radius cylinders, construct dynamics model, and then according to the industry standard to calculate sound pressure value one meter away by simulation,. Finally, we obtain the optimize equation according to the relation of parameters and noise.
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Hao, Xiu Hong, and Xue Jun Zhu. "Parametric Vibration Responses of Electromechanical Integrated Toroidal Drive." Applied Mechanics and Materials 271-272 (December 2012): 1383–87. http://dx.doi.org/10.4028/www.scientific.net/amm.271-272.1383.
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There are periodic changes of meshing teeth in electromechanical integrated toroidal drive, that lead to time-varying meshing stiffness. By converting time-varying stiffness into the form of Fourier series, dynamics model and the corresponding differential equation of parametric vibration system are established. Then approximate analytical solution of the system is obtained by multi-scale method, and time domain response curves of damping vibration system are given. The analysis results show that free vibration of the system not only include natural frequency, but also contains combination frequencies between natural frequency and meshing frequency. So there are multi-resonance frequency sections. Those will provide more theoretical supports for system dynamic design and optimization.
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Tong, Hai Long, Zhong Hai Liu, Li Yin, and Quan Jin. "The Dynamic Finite Element Analysis of Shearer’s Running Gear Based on LS-DYNA." Advanced Materials Research 402 (November 2011): 753–57. http://dx.doi.org/10.4028/www.scientific.net/amr.402.753.
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Base on contact kinetics finite element theory, proceed secondary development of road wheel and pin mesh’s nonlinear dynamic contact analysis in LS-DYNA module, and carry out contrast of simulation analysis, achieved stress, strain and dynamic identities that caused by meshing impact in the whole meshing process, accord with practice, can instruct product practice design.