Modeling and dynamic response of parallel shaft gear transmission in non-inertial system

Zhang, Aiqiang; Wei, Jing; Shi, Linjun; Qin, Datong; Lim, Teik C.

doi:10.1007/s11071-019-05241-w

Cited by 21 publications

(9 citation statements)

References 36 publications

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“…Consequently, the medium reduction vibration problem with continuous mass distribution can be transformed into a system vibration problem with a finite number of nodes. According to the overall stiffness matrix assembly method, 28 the shaft element adopts the two-node Timoshenko spatial beam element; the element mass matrix adopts the uniform mass matrix, which takes into account the coupling effect of the mass between adjacent nodes 29 and has a higher accuracy when there are fewer nodes. The damping matrix of the segment element is calculated using the Rayleigh damping which is commonly used in engineering.…”

Section: Coupling Dynamics Modeling Of the Sbg Pair In The Intermedia...mentioning

confidence: 99%

Dynamic behavior analysis of spiral bevel gears of helicopter’s intermediate reducer with vibration error and lubrication

Cao

Bao

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part K:

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In the dynamic simulation of spiral bevel gears (SBGs), the modeling and contact analysis of the SBGs are extremely complicated; therefore, dynamic analysis of the SBGs generally simplifies the SBG model. The vibration in the meshing process will cause the meshing trajectory to deviate, resulting in changes in the meshing stiffness, oil film thickness, and load distribution between teeth. These changes cannot be realized using simplified models. To accurately calculate the dynamic behavior of the SBG pair of the intermediate reducer of a helicopter under the influence of vibration displacement, a load-tooth contact analysis(LTCA) of the SBG with error was performed based on the finite element method(FEM) and gear meshing principle. A calculation method for the meshing stiffness, considering the errors and elastohydrodynamic lubrication (EHL) factors, is proposed. To establish the coupling nonlinear dynamic model of the tail drive thin-walled shaft Timoshenko beam element and SBG lumped mass methods, applied the Newmark conjugate gradient method. Changes in parameters such as vibration displacement, meshing trajectory, tooth side clearance, oil film thickness, and meshing stiffness were obtained. The results show that the contact stiffness after considering the oil film stiffness is reduced by 17.7% compared to that without considering the effect of the oil film, and the oil film stiffness fluctuates more because the coupled model takes into account the vibration effect of the time-varying system, and the amplitude increases by 18.5% compared to the commercial software. The coupled kinetic model calculates the dynamic meshing force, normal relative displacement, single tooth meshing period and oil film thickness, and finds that the amplitude of the relevant parameters increases. The obtained time-varying lubrication parameters provide a theoretical basis for studying the evolution of the transmission system under the loss of lubrication.

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Section: Coupling Dynamics Modeling Of the Sbg Pair In The Intermedia...mentioning

confidence: 99%

Dynamic behavior analysis of spiral bevel gears of helicopter’s intermediate reducer with vibration error and lubrication

Cao

Bao

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…In the most recent years, the development of methodologies has not slowed down mainly thanks to the increasing interest in this field coming from the aviation and wind turbines industry, which aims at constantly increasing the power density and reliability of the gearboxes, and from the progressive electrification of vehicles thus increasing the importance of the gearbox generated noise, since in some cases the electric engine is now quieter than the reduction gearbox. This renewed interest has led to development of advanced and complex models, which now can simulate also the effects of the Bearing Time-Varying Stiffness (BTVS) [144] and also the non-inertial conditions in which the gearing operates [145] which cause diverse nonlinear phenomena. Hybrid FE have been specially developed to simulate the main components of the gearbox, including the housing, with an integrated tooth contact analysis as in [146] and also several chaotic phenomena have been studied considering several clearances in [147] and even the TV MS has been made dependent on the instantaneous dynamic mesh force in [148] to further improve accuracy of the results.…”

Section: Future Perspectives and Conclusionmentioning

confidence: 99%

Sources of Excitation and Models for Cylindrical Gear Dynamics: A Review

Bruzzone

Rosso

2020

Machines

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In this paper, a review of the evolution of the study of cylindrical gear dynamics is presented. After a brief historical introduction to the field, the first attempts to describe the complex interactions in those systems are analyzed introducing the dynamic factor and the first methodologies used to compute it. Next, the sources of excitation in geared systems are analyzed in detail and the models of the various contributions are discussed. Then, the paper focuses on the use of those sources in several dynamic models which are wildly different in terms of scope, applicability, complexity and methodology employed, ranging from simple analytical models, to lumped masses models up to multibody and finite element models. Finally, an outlook to the future evolution of the field is given and conclusions are drawn.

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“…The results indicate that the motion of the body introduces more excitation frequencies to increase the system vibration and increase the risk of system resonance. Wei et al [14][15][16] considered the comprehensive influence of the INIS and ENIS, and they constructed a kinematic and dynamic model of the gear system in any space motion state of the body in the NIS. They deduced the time-varying influence function of gravity on the carrier in the NIS, derived the additional inertial force and the additional gyro moment, and initially revealed the law of motion change and dynamic response of the transmission system under the condition of the NIS.…”

Section: Introductionmentioning

confidence: 99%

A Study on Dynamic Stress of Planetary Gear Transmission in Non-Inertial System

Wei

Cao

Zhang

et al. 2022

Preprint

Self Cite

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Considering the comprehensive effect of the internal non-inertial system (INIS) of planetary gear transmission (PGT) and external non-inertial system (ENIS) of the body, combined with the modified Heywood formula and Hertz formula, a calculation model for the dynamic bending stress and contact dynamic stress of the PGT in a non-inertial system (NIS) is proposed. The stress non-inertial coefficients (KNI) describing the influence of the additional effects on the dynamic stress in the NIS are defined. Additionally, the variation law of non-inertial coefficients under two typical non-inertial conditions of variable-speed level flight and somersault motion was studied. The effect of gear installation and manufacturing errors on the non-inertial coefficients under two maneuvering conditions was analyzed. The results indicated that non-inertial coefficients increase with an increase in the maneuverability of the body, and the variable-speed horizontal flight and somersault motion have significant effects on the changing trend of non-inertial coefficients with the gear installation and manufacturing errors. Compared with the gear error, the effect of the NIS has a significant influence on the non-inertial coefficients.

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Modeling and dynamic response of parallel shaft gear transmission in non-inertial system

Cited by 21 publications

References 36 publications

Dynamic behavior analysis of spiral bevel gears of helicopter’s intermediate reducer with vibration error and lubrication

Dynamic behavior analysis of spiral bevel gears of helicopter’s intermediate reducer with vibration error and lubrication

Sources of Excitation and Models for Cylindrical Gear Dynamics: A Review

A Study on Dynamic Stress of Planetary Gear Transmission in Non-Inertial System

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