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

Pei, Jiaxing; Han, Xu; Tao, Yourui

doi:10.1108/ilt-11-2019-0465

Cited by 12 publications

(4 citation statements)

References 15 publications

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“…where h 0 is a constant commonly called rigid body displacement. 35 The last component of Equation ( 13) is elastic deformation, respectively. R x and R y are the equivalence contact radius in x and y direction, p represents the total contact pressure which consists of oil film and asperity pressure, E 0 is the effective elasticity modulus.…”

Section: Ehl Equationsmentioning

confidence: 99%

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Study on mixed elastohydrodynamic lubrication performance of point contact with non‐Gaussian rough surface

Hou,

Pei,

Cao

et al. 2023

Lubrication Science

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A numerical method is proposed to evaluate the effect of non‐Gaussian roughness on point contact elastohydrodynamic lubrication (EHL). A mixed EHL model of point contact, considering non‐Gaussian roughness, is developed. The oil film pressure in the model was controlled by the Reynolds equation of average flow, and the contact pressure of asperity was obtained by the rough surface micro‐contact model. The influence of non‐Gaussian roughness parameters on contact pressure distribution, film thickness profile and the ratio of asperity pressure to contact load (asperity load ratio) are investigated based on the mixed EHL model. The results show that the asperity pressure increases as root mean square (RMS) roughness increases, skewness and kurtosis. The film thickness also increases with RMS roughness and skewness, but is not sensitive to kurtosis.

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Section: Ehl Equationsmentioning

confidence: 99%

“…where ρ 0 is the viscosity at ambient conditions. Roelands viscosity-pressure equation is used to describe the relationship between lubricant viscosity and pressure 35,36 :…”

Section: Ehl Equationsmentioning

confidence: 99%

Study on mixed elastohydrodynamic lubrication performance of point contact with non‐Gaussian rough surface

Hou,

Pei,

Cao

et al. 2023

Lubrication Science

Self Cite

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“…The basic equation of the EHL contact problem is the RE, 24 which of the ball screws under steady-state, that is, when the contact characteristics do not vary with time, is expressed as…”

Section: Modeling Of Transmission Efficiency Of Dnbssmentioning

confidence: 99%

Optimal operating condition of precision ball screws based on a transmission efficiency model

Sun

Wang

Gao

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part B:

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The operating condition of ball screws is generally applied to ensure the ball screws with a high transmission efficiency and a high positioning accuracy. Aiming at the optimal operating condition of double-nut ball screws, a transmission efficiency model considering the kinematic analysis and lubrication status was proposed. Firstly, the distributions of the film bearing pressure, asperity bearing pressure, film thickness, and ratio of the asperity bearing pressure were determined based on the Reynolds equation. Subsequently, the transmission efficiency model was established by calculating the friction coefficient and friction torque of ball screws under various lubrication statuses and operating conditions. The optimal operating condition of double-nut ball screws can be determined by estimating the transmission efficiency and lubrication status to improve the manufacturing quality. Finally, a friction torque test based on the simulated model was designed and implemented on a self-designed bed for validation of the proposed model. The comparisons showed that the experimental friction torque was consistent with the simulated friction torque, which verified the effectiveness and correctness of the transmission efficiency model. Results showed that the optimal operating conditions of the entrainment velocity and axial working load could ensure high transmission efficiency and a good lubrication status, which are of great reference to the green processing and manufacturing fields.

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“…The elastohydrodynamic lubrication equations is used to analyze the dynamic oil film gap between the piston ring and cylinder block, which mainly includes unsteady onedimensional Reynolds equation, elastic deformation equation, Figure 1 Diagram for the derivation of kinematic parameters of the bent-axis piston pump load equation, viscous pressure effect and dense pressure effect (Hamrock and Jacobson, 1984;Pei et al, 2020).…”

Section: Elastohydrodynamic Lubrication Equationsmentioning

confidence: 99%

Analysis of leakage characteristics for bent-axis piston pump based on elastohydrodynamic deformation

Qing

Wang

et al. 2021

ILT

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Purpose This paper aims to revel the leakage characteristics of the bent-axis piston pump considering elastohydrodynamic deformation via a dynamic leakage model. Design/methodology/approach A dynamic leakage model of bent-axis piston pump based on elastohydrodynamic lubrication theory is proposed, which is used to present the leakage characteristics of bent-axis piston pump. The model is composed of three parts. First, the dynamic gap in the piston ring-cylinder bore interface (PRCB) is described via the elastohydrodynamic lubrication equations. Then, the PRCB leakage is presented based on the dynamic gap. Finally, combined with leakage equation of the valve plate-cylinder block interface (VPCB), the total leakage model is proposed. Through the numerical simulation and experiment, the leakage characteristics of bent-axis piston pump considering elasto-hydrodynamic deformation are studied. Findings The PRCB leakage is negatively correlated with VPCB leakage under the range of 800–1400 r/min and 1–25 MPa. When the discharge pressure is less than the critical pressure, the PRCB leakage is the main factor affecting the total leakage in bent-axis piston pump. On the contrary, the VPCB leakage is the main factor. The critical pressure increases with increasing speed Originality/value The effect of operating parameters has a significant effect on the elastic deformation of piston ring without considering wear of friction pairs in bent-axis piston pump. There is a critical phenomenon in the leakage, which is related to the operating parameters, and provides a novel idea for extracting wear information from leakage and evaluating the status of bent-piston pump.

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

Cited by 12 publications

References 15 publications

Study on mixed elastohydrodynamic lubrication performance of point contact with non‐Gaussian rough surface

Study on mixed elastohydrodynamic lubrication performance of point contact with non‐Gaussian rough surface

Optimal operating condition of precision ball screws based on a transmission efficiency model

Analysis of leakage characteristics for bent-axis piston pump based on elastohydrodynamic deformation

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