Stiffness and damping models for the oil film in line contact elastohydrodynamic lubrication and applications in the gear drive

Zhou, Changjiang; Xiao, Zeliang

doi:10.1016/j.apm.2018.05.012

Cited by 63 publications

(21 citation statements)

References 27 publications

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“…In this paper, the gear meshing stiffness is also calculated by the Dowson formula (Li and Kahraman, 2011) and by the method employed by Zhou and Xiao (2018). The comparison of these approaches is shown in Figure 8.…”

Section: Stiffness Of Gear Considering the Effect Of Lubricationmentioning

confidence: 99%

“…Qin et al (2015) calculated the film stiffness and surface elastic stiffness by the increment of film thickness and elastic deformation at the central point of the calculation domain, respectively. Zhou and Xiao (2018) and Xiao et al (2019) defined the film deformation by an average film thickness increment in the computational domain. The insufficiency of this approach is that the film stiffness changed with the computational domain.…”

Section: Introductionmentioning

confidence: 99%

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An improved stiffness model for line contact elastohydrodynamic lubrication and its application in gear pairs

Pei

Han

Tao

2020

ILT

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Purpose The purpose of this paper is to propose an simple and efficient stiffness model for line contact under elastohydrodynamic lubrication (EHL) and to investigate the gear meshing stiffness by the proposed model. Design/methodology/approach The method combines the surface contact stiffness and film stiffness as EHL contact stiffness. The EHL contact stiffness can be calculated by the external load and displacement of the load action point. The displacement is the sum of deformation of the film and contact surface and is equal to the distance of the mutual approach of two contact bodies. Findings The conclusion is drawn that the contact stiffness calculated by the proposed model is smaller than that by the minimum film model and larger than that by the mean film model. It is also concluded that the gear meshing stiffness under EHL is slightly smaller than that under dry contact. Originality/value The EHL contact stiffness can be obtained by the increment of external load and mutual approach directly. The calculation of oil film stiffness and surface contact stiffness separately is avoided. Peer review The peer review history for this article is available at: https://publons.com/publon/10.1108/ILT-11-2019-0465

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Section: Stiffness Of Gear Considering the Effect Of Lubricationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An improved stiffness model for line contact elastohydrodynamic lubrication and its application in gear pairs

Pei

Han

Tao

2020

ILT

View full text Add to dashboard Cite

show abstract

“…In the gear system with coupling effect of lubrication, the system has oil film damping due to the viscous effect of the oil film. When considering the lubrication effect, the damping is treated in the same way as the stiffness and the equivalent damping of the system can be obtained from oil film damping and meshing damping in series, 27 as shown in Figure 5.…”

Section: Equivalent Damping Of Meshing Gear Pairs Considering Squeeze Oil Filmmentioning

confidence: 99%

Nonlinear dynamic characteristics of planetary gear transmission system considering squeeze oil film

Wang

Liu

Wang

2020

Journal of Low Frequency Noise, Vibration and Active Control

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Based on the planetary gear transmission system considering the coupling effects of friction and elastohydrodynamic lubrication, a torsional dynamic model considering friction, oil film, time-varying meshing stiffness, meshing damping, and gear backlash is established. The Runge–Kutta numerical method is used to solve the vibration equation of the system. The bifurcation diagram and largest Lyapunov exponent are used to analyze the dynamic characteristics of the system under different bifurcation parameters such as the excitation frequency, lubricant viscosity, sun–planet backlash, and planet–ring backlash. The numerical results demonstrate that with the increase of excitation frequency, the system exhibits rich nonlinear dynamic characteristics such as short-period motion, long-period motion, and chaotic motion. With the increase of lubricant viscosity, the chaotic motion of the system is suppressed at low excitation frequency and the periodic motion of the system increases at high excitation frequency. With the increase of sun–planet backlash, the chaotic motion of the system increases at low excitation frequency, and the bifurcation characteristics become complicated at high excitation frequency and enters chaotic motion in advance. With the increase of ring–planet backlash, the system delays into chaotic motion at low excitation frequency and bifurcates from single-period motion to multi-period motion in advance at high excitation frequency.

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“…Li et al [15] considered the distribution of the oil film and the pressure characteristic of the contact regions, set up the oil film stiffness calculation model based on the EHL theory, and compared with the experiment. Zhou et al [16,17] established a calculation model of normal and tangential oil film stiffness of the spur gear, but without considering the influence of temperature.…”

Section: Introductionmentioning

confidence: 99%

Oil Film Stiffness of Double Involute Gears Based on Thermal EHL Theory

Yin

Zhang

Jiang

2021

Chin. J. Mech. Eng.

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Lubrication failure is one of the main failure forms of gear failure. Time varying meshing stiffness is an important factor affecting the dynamic behavior of gears. However, the influence of oil film stiffness is usually ignored in the research process. In this paper, according to the meshing characteristics of double involute gears, based on the non-Newtonian thermal EHL theory, a new calculation method of normal and tangential oil film stiffness for double involute gears is established by the idea of subsection method. The oil film stiffness difference between double involute gears and common involute gears is analyzed, and the influence of tooth waist order parameters, working conditions, and thermal effect on the oil film stiffness are studied. The results reveal that there are some differences between normal and tangential oil film stiffness between double involute gears and common involute gears, but there is little difference. Compared with the torque, rotation speed and initial viscosity of the lubricating oil, the tooth waist order parameters have less influence on the oil film stiffness. Thermal effect has a certain influence on normal and tangential oil film stiffness, which indicates that the influence of thermal effect on the oil film can not be ignored. This research proposes a calculation method of normal and tangential oil film stiffness suitable for double involute gears, which provides a theoretical basis for improving the stability of the transmission.

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Stiffness and damping models for the oil film in line contact elastohydrodynamic lubrication and applications in the gear drive

Cited by 63 publications

References 27 publications

An improved stiffness model for line contact elastohydrodynamic lubrication and its application in gear pairs

An improved stiffness model for line contact elastohydrodynamic lubrication and its application in gear pairs

Nonlinear dynamic characteristics of planetary gear transmission system considering squeeze oil film

Oil Film Stiffness of Double Involute Gears Based on Thermal EHL Theory

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