Nonlinear dynamical behaviors of spiral bevel gears in transient mixed lubrication

Wang, Zongzheng; Pu, Wei; Pei, Xin; Cao, Wei

doi:10.1016/j.triboint.2021.107022

Cited by 14 publications

(3 citation statements)

References 31 publications

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“…The inclusion of these complex kinematics, non-Newtonian rheological model, and realistic vehicle conditions account for the original contributions of this study. Clearly, more detailed thermal analysis, including the solution of energy equation would enhance the in-depth analysis as already shown in [8,63,64] including the nonlinearities that may arise in the dynamic response of the gear pair due to the transient effects [65].…”

Section: Discussionmentioning

confidence: 95%

Transient non-Newtonian elastohydrodynamics of rough meshing hypoid gear teeth subjected to complex contact kinematics

Sivayogan

Rahmani

Rahnejat

2022

Tribology International

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Section: Discussionmentioning

confidence: 95%

Transient non-Newtonian elastohydrodynamics of rough meshing hypoid gear teeth subjected to complex contact kinematics

Sivayogan

Rahmani

Rahnejat

2022

Tribology International

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“…However, under a heavy load, a much higher temperature rise has happened. A new and actual nonlinear dynamic model of spiral bevel gears in transient mixed lubrication was firstly developed by Wang et al, 14 which considered 3D real machined roughness surface. Based on the proposed model, notable deviations were found compared with traditional Hertz contact or full-film lubrication assumptions, which highlight the important role of film lubrication and asperity contact.…”

Section: Introductionmentioning

confidence: 99%

A mixed-lubricated friction model of water lubricated bearing based on fractal theory

Wu,

Wang,

Chen

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part J:

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To the water lubricated bearing, its mixed-lubricated friction model is generally established based on the traditional statistical model, whose accuracy is not high due to the inaccurate characterization of surface topography. Therefore, this paper employs the fractal theory that has scale-independent characteristics and high precision to characterize the surface topography of the bearing and journal, and then establishes the fractal contact model of asperity, combining the average Reynolds equation of the film, proposes a mixed-lubricated friction model based on fractal theory. The scanning experiments of surface topography are carried out to obtain the fractal parameters and measurements of the friction coefficient are performed to verify the effectiveness of the proposed mixed-lubricated model. Subsequently, the proposed mixed-lubricated friction model is employed to analyze the effects of the number of groove, the position of groove and the fractal parameters on the lubrication and friction characteristics of the water lubricated bearing. Results indicate when the grooves are in the non-main load-carrying regions, the friction characteristics of the bearing slightly changes, and the lower surface roughness is beneficial to improve the lubrication and friction properties of the bearing.

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“…Wang 20 established a generalized nonlinear time-varying (NLTV) dynamic model of a hypoid gear pair with recoil nonlinearity and described the true meshing characteristics of the hypoid gear pair. Wang 21,22 also established the actual nonlinear dynamic model of the SBG in transient mixed lubrication and revealed the influence of roughness, torque, and contact trajectory on the dynamic response of the SBG. Moreover, Qiu 23 proposed a nonlinear dynamic model of an SBG pair with time-varying backlash and used the Runge–Kutta method to obtain the dynamic characteristics of the gear system.…”

Section: Introductionmentioning

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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Nonlinear dynamical behaviors of spiral bevel gears in transient mixed lubrication

Cited by 14 publications

References 31 publications

Transient non-Newtonian elastohydrodynamics of rough meshing hypoid gear teeth subjected to complex contact kinematics

Transient non-Newtonian elastohydrodynamics of rough meshing hypoid gear teeth subjected to complex contact kinematics

A mixed-lubricated friction model of water lubricated bearing based on fractal theory

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

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