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(searched for: doi:10.1007/s11071-017-3738-0)
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Published: 14 August 2021
by MDPI
Energies, Volume 14; https://doi.org/10.3390/en14164993

Abstract:
The well-known gear tooth defects such as root cracks and flank spalls have been widely investigated in previous studies to model their effects on the time varying mesh stiffness (TVMS) and consequently the dynamic response of motor-gearbox systems. Nevertheless, the effect of assembly errors such as the center distance and the eccentricity has been less considered in past works. Determining the signature of these errors on the system response can help for their early detection and diagnostic to avoid overloading and failure of gears. An original geometric-based method combined with the potential energy method is proposed in this paper to accurately model the effect of these assembly errors on the TVMS of mating spur gear pairs. This is achieved by updating the line of action equation (LOA) at each meshing step using the actual coordinates of gear centers and employing a contact detection algorithm (CDA) to determine the actual contact points coordinates. An electrical model of a three-phase induction machine was then coupled with a dynamic model of a one-stage spur gear system to simulate the effect of assembly errors on the electromechanical response of the motor-gearbox system. The simulation results showed that the center distance error induces a reduction in the TVMS magnitude and the contact ratio, whereas the eccentricity error causes a double modulation of the TVMS magnitude and frequency. In addition, the results showed that assembly errors can be detected and diagnosed by analyzing the system vibration and the motor phase-current.
Zhiliang Xu, , Shao Yimin
Published: 17 May 2021
Applied Mathematical Modelling, Volume 98, pp 71-89; https://doi.org/10.1016/j.apm.2021.04.032

The publisher has not yet granted permission to display this abstract.
Chenjing Dou, , Min Gao
Published: 1 April 2021
Nonlinear Dynamics, Volume 104, pp 1175-1204; https://doi.org/10.1007/s11071-021-06349-8

The publisher has not yet granted permission to display this abstract.
Zheng Cao, Meng Rao
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science; https://doi.org/10.1177/0954406220983365

Abstract:
Manufacturing errors widely exist in and deteriorate the dynamic property of planetary gear train (PGT). To solve this problem, the ring gear is often designed with a thin rim to compensate for the effects of manufacturing errors via the elastic deflections of the rim. Existing dynamic models of the PGT only consider the effects of either the elasticity of the rim of the ring gear or the manufacturing errors. The coupling effects of manufacturing errors and the flexible ring gear are ignored. To understand the dynamic behaviors of the PGT better, a dynamic model of the PGT coupled with typical manufacturing error and flexible ring gear is developed in this study. The tooth contact analysis of the ring-planet mesh, which is calculated based on the potential energy method and uniformly curved Timoshenko beam theory, is studied using the influence coefficient method. A numerical algorithm is proposed to solve the integrated dynamic equations of the PGT. Calculated results show that the dynamic features of the PGT are complex, and the load sharing characteristic is improved when the flexible ring gear is incorporated.
Bo Hu, , Hongbing Wang, Siyu Chen
Mechanical Systems and Signal Processing, Volume 153; https://doi.org/10.1016/j.ymssp.2020.107509

The publisher has not yet granted permission to display this abstract.
Lei Yin, Chun-Long Deng, Wen-Nian Yu, , Li-Ming Wang
Journal of Central South University, Volume 27, pp 2311-2323; https://doi.org/10.1007/s11771-020-4451-6

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Xinlei Wang, Changle Xiang, Chunming Li, Shenlong Li, Yimin Shao,
Advances in Mechanical Engineering, Volume 12; https://doi.org/10.1177/1687814020908422

Abstract:
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.
, Hai-Liang Xie, Qing-Chang Tan
Mechanical Systems and Signal Processing, Volume 138; https://doi.org/10.1016/j.ymssp.2019.106543

The publisher has not yet granted permission to display this abstract.
, Evgeny Zvarych, Andrei Karasev, Dieter Weber
Published: 28 November 2019
E3S Web of Conferences, Volume 134; https://doi.org/10.1051/e3sconf/201913401006

Abstract:
The objective set in the research is the following: to develop the methodology and application tools for assessment of the open-pit excavators engineering level when selecting and designing them for specific mining-geological and technical service conditions. To achieve the objective, the methods of statistical data analysis, methods of regression models and of mathematical experimentation building, analysis and synthesis, methods of comprehensive assessment of the engineering level indicators, as well as mathematical modeling and appliance of linear algorithm were used. As a result, there was developed the methodology of comprehensive assessment of engineering level and parameters optimization of open-pit shovel excavators, there was also developed a software package, based on the methodology mentioned above, that allows science-based selection of excavators that possess optimum parameters for the specified conditions.
, Weiyao Tang, Yi Zhang, Fengjuan Wang
Published: 25 November 2019
Nonlinear Dynamics, Volume 99, pp 1269-1293; https://doi.org/10.1007/s11071-019-05353-3

The publisher has not yet granted permission to display this abstract.
Zheng Cao, , Hanjun Jiang
Published: 18 November 2019
Nonlinear Dynamics, Volume 99, pp 1227-1241; https://doi.org/10.1007/s11071-019-05348-0

The publisher has not yet granted permission to display this abstract.
Jianjun Tan, , Chaosheng Song, Yao Li, Xiangyang Xu
Published: 3 July 2019
Mechanism and Machine Theory, Volume 140, pp 781-808; https://doi.org/10.1016/j.mechmachtheory.2019.06.026

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, , Yangshou Xiong, Meng Sang
Mechanical Systems and Signal Processing, Volume 132, pp 18-34; https://doi.org/10.1016/j.ymssp.2019.06.013

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, Xingbin Chen, Zhongyang Xu, Qianli Mai, Chune Zhu
Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, Volume 234, pp 572-585; https://doi.org/10.1177/0954407019855908

Abstract:
A planetary gear transmission system with multistage face gears combinations as core component can easily realize the variable speed in differential transmission ratios with structural advantages. In order to improve the transmission stability and loading capacity, it is necessary to set up a reasonable kinematic model for multistage face gears pair. This study focuses on the kinematic characteristics of multistage face gears structure with double crown surface by the methods of numerical calculation and experimental verification. The transmission error and efficiency solving models are established by numerical calculation method to analyze the influences of each factor in detail. Then the correctness of the above numerical models are verified with transmission error and efficiency experiment. In addition, the numerical results are compared with the experimental results to further indicate the important influences of the multistage face gears components on the transmission error and efficiency of whole transmission system. The results can provide references for the dynamic and experimental study of multistage face gears in some degree.
Jie Liu, She Liu, Weiqiang Zhao, Lei Zhang
International Journal of Rotating Machinery, Volume 2019, pp 1-9; https://doi.org/10.1155/2019/2040637

Abstract:
Effect of dynamic backlash and rotational speed is investigated on the six-degree-of-freedom model of the gear-bearing system with the time-varying meshing stiffness. The relationship between dynamic backlash and center distance can be defined clearly. The nonlinear differential equations of the model are solved by the Newmark-β method. The results show that system amplitude increases in the wake of increasing rotational speed. After reaching a certain rotational speed, the system jumps from periodic motion to chaos motion, and the effective amplitude is changed violently. Comparing the dynamic backlash with fixed backlash, the amplitude of the dynamic backlash is augmented and the frequency components are diversified. The vibration displacement is enlarged by the dynamic backlash and the chaotic behavior of the system becomes complex with increasing rotational speed. The numerical results provide a useful reference source for engineers to select rotational speed section for steady running.
Wen-Jia Lu, Yi-Min Zhang, , Zhou Yang
Journal of the Brazilian Society of Mechanical Sciences and Engineering, Volume 40; https://doi.org/10.1007/s40430-018-1452-6

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