Effects of gear flexibility on the dynamic characteristics of spur and helical gear system

Kong, Xiannian; Hu, Zehua; Tang, Jinyuan; Chen, Siyu; Wang, Zhiwei

doi:10.1016/j.ymssp.2022.109691

Cited by 28 publications

(8 citation statements)

References 57 publications

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“…Using the Runge-Kutta 33 method solving the dynamic equations (7)(8)(9)(10)(11)(12)(13)(14)(15), the dynamic meshing force of each gear pair is obtained, and they are shown in Supplementary Figures 8 and 9.…”

Section: Calculation Of Lscmentioning

confidence: 99%

“…Gu and Velex 6 presented a primitive lumped parameter model for planetary gears which takes into account planetary position errors, uses transient gear geometries and simulates their contribution to the quasi-static and dynamic load sharing between the planets, and illustrates and reviews the advantages and disadvantages of floating members in high-speed planetary gears. Kong et al 7 established a finite element model of gears by using a shell unit with gyroscopic effect, and a gear dynamics model considering flexible gears was proposed to study the effect of gear flexibility on the dynamic characteristics of spur and helical gear systems. According to Zou et al, 8 an improved algorithm for nonlinear dynamics analysis of herringbone gears is proposed, and the dynamic meshing force is taken as the main factor affecting the change of contact state, and the dynamics model of the gear pair is improved, and the dynamics equations are solved by numerical methods.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Research on load-sharing characteristics of six-branch herringbone gear transmission system

Liu,

Wang,

Zou

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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With the continuous development of high-speed and high-power gear transmission technology, as well as the new demand for vibration and noise reduction in high-speed and heavy-duty gear transmission systems in fields such as aviation and navigation, the herringbone gear branch transmission system is subject to higher requirements in terms of its dynamic characteristics. Therefore, it is necessary to conduct research on the dynamic characteristics of high-power and high-torque herringbone gear branch transmission systems. Based on the lumped parameter method, a bending-torsion coupling dynamic model of the transmission system is established, and a calculation method for load-sharing coefficients (LSCs) is proposed. The LSCs are obtained for each gear pair in the same meshing period of the transmission system that is under the interaction of time-varying internal excitation. The meshing force of the six-branch gearing system was calculated in ADAMS to verify the validity of the established dynamic model. The study results indicate that errors have a negative impact on the sharing performance. To maintain a sharing coefficient below 1.15, the manufacturing and installation errors of gears Z5 and Z6 should be restricted to 9 µm and 7 µm, respectively. Special attention should be given to gear Z5 in terms of support stiffness, with a value of 1 × 108 N/m being the most favorable. During the system design, the initial phase of the installation error should be considered and preferably selected near 180°. Additionally, the system exhibits easier load sharing with higher input power. The optimal torsional stiffness of the duplex shaft is 5 × 107 N/m, while the optimal bending stiffness is 5 × 108 N/m. This study aimed to provide a theoretical foundation for the design and optimization of marine high-power gear transmission systems.

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Section: Calculation Of Lscmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Research on load-sharing characteristics of six-branch herringbone gear transmission system

Liu,

Wang,

Zou

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…In recent decades, the modeling methods of gear dynamics are becoming increasingly precise. 17,18 Hu has established a spur gear system that considers thinwalled webs, 19,20 and Tian establishes a transmission system that considers the web and tooth structure of bevel gears. 21 There are many studies on the dynamics of gear transmission systems, but there are few literature studies analyzing and studying together with gerotor pumps These investigations show that gear drive could induce certain vibration and noise problem like rattle and whine noise Therefore, in this paper, a dynamic model, to simulate the dynamic performance of gear drive with the effect of the torque fluctuation due to cavitation of gerotor pump, is proposed firstly.…”

Section: Introductionmentioning

confidence: 99%

“…In recent decades, the modeling methods of gear dynamics are becoming increasingly precise. 17,18 Hu has established a spur gear system that considers thin-walled webs, 19,20 and Tian establishes a transmission system that considers the web and tooth structure of bevel gears. 21 There are many studies on the dynamics of gear transmission systems, but there are few literature studies analyzing and studying together with gerotor pumps…”

Section: Introductionmentioning

confidence: 99%

Dynamic performance analysis of a gear transmission system due to cavitation in gerotor pump

Wang,

Hu,

Tian

et al. 2023

Journal of Low Frequency Noise, Vibration and Active Control

Self Cite

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In this work, a dynamic model considering time-varying mesh stiffness and backlash was proposed and a test rig was built to investigate the vibration behavior of the idle gear set in a gerotor pump. The effects of input shaft speed, torque fluctuation, and gear tooth backlash on the dynamic performance of gerotor pump were analyzed according to the numerical and experimental results. Results demonstrate that when the torque fluctuation is neglected, the dynamic transmission error of drive gear is dominated by the first three mesh harmonic components; however, the RMS values of vibration acceleration have high frequency characteristics. When the torque fluctuation is considered, the dynamic responses of gerotor pump are modulated by the torque fluctuation. The effect of tooth backlash on the dynamic performance of gerotor pump is limited and mostly depended on the torque fluctuation condition. The gerotor pump noise is dominated by the low frequency component around the mesh frequency. The vibration energy can be divided into two parts in the frequency domain. In the low frequency band, the vibration energy is caused by the mechanical vibration. However, in the high frequency band, the cavitation phenomena may cause the concentration of the vibration energy and resonant of pump structure.

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“…In fact, the meshing parameters change due to the transverse vibration. With the urgent demand for lightweight design of gear systems in modern industry, especially in aerospace, flexible supporting structures such as thin hollow shafts and thin wall gearboxes have been widely used [9]. As the stiffness of the supporting structure decreases, the transverse vibration of the gear becomes obvious, and the prior model could not accurately predict the dynamic behavior.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Modeling and Analysis for a Spur Gear System with Dynamic Meshing Parameters and Sliding Friction

Liu

Zhang

Liu³

et al. 2023

Symmetry

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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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Effects of gear flexibility on the dynamic characteristics of spur and helical gear system

Cited by 28 publications

References 57 publications

Research on load-sharing characteristics of six-branch herringbone gear transmission system

Research on load-sharing characteristics of six-branch herringbone gear transmission system

Dynamic performance analysis of a gear transmission system due to cavitation in gerotor pump

Nonlinear Dynamic Modeling and Analysis for a Spur Gear System with Dynamic Meshing Parameters and Sliding Friction

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