Non-Newtonian mixed elastohydrodynamics of differential hypoid gears at high loads

Mohammadpour, Mahdi; Theodossiades, Stephanos; Rahnejat, Homer; Saunders, Timothy J.

doi:10.1007/s11012-013-9857-x

Cited by 36 publications

(49 citation statements)

References 55 publications

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“…24 For the case of hypoid gear pairs, an elliptical contact footprint with angled lubricant entrainment into the contact results. This is demonstrated by Mohammadpour et al 25,26 who provided isothermal elastohydrodynamic solutions for hypoid gear teeth pairs throughout a meshing cycle both under assumed Newtonian and non-Newtonian lubricant behaviour.…”

Section: Introductionmentioning

confidence: 90%

“…In addition, E Ã ¼ 2E r and is the root mean square roughness of the counter faces (equation (26)). F 5=2 l ð Þ is another representative statistical function of surface topography 58 According to Teodorescu et al 59 F 5=2 ¼ À0:…”

Section: Prediction Of Frictionmentioning

confidence: 99%

“…This is shown by Gohar 39 through optical interferometry with significant side leakage flow at an angle to the major axis of the contact ellipse. 40 Pu et al 41 further developed the work of Mohammadpour et al 26 by adding an empirical flash temperature model to the analysis. Their analytical thermal model is a control volume-type model for the average temperature of the lubricant and those of the contacting surfaces.…”

Section: Introductionmentioning

confidence: 99%

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Non-Newtonian mixed thermo-elastohydrodynamics of hypoid gear pairs

Mohammadpour

Theodossiades

Rahnejat

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part J:

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Transmission efficiency is the main objective in the development of vehicular differential systems, comprising hypoid gear pairs. The overall aim is to contribute to improved vehicle fuel efficiency and thus levels of harmful emissions for modern desired eco-drive axles. Detailed predictive analysis plays an important role in this quest, particularly under realistic operating conditions, comprising high contact loads and shear rates. Under these conditions, the hypoid gear pairs are subject to mixed non-Newtonian thermo-elastohydrodynamic conditions, which is the approach undertaken in this paper. Such an approach for hypoid gear pair has not hitherto been reported in the literature.

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Section: Introductionmentioning

confidence: 90%

Section: Prediction Of Frictionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Non-Newtonian mixed thermo-elastohydrodynamics of hypoid gear pairs

Mohammadpour

Theodossiades

Rahnejat

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part J:

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“…For the viscous response of the lubricant, they recommended the use of an Eyring-like law, based on a hyperbolic sine function [21]. Johnson and Tevaarwerk [20] model has been extensively used, particularly for highly loaded contacts at high shear rates, for example in the case of hypoid gear pairs [22,23]. Bair and Winer [24] assumed that the lubricant would behave as a Maxwell fluid and introduced a non-Newtonian rheological model in which the extent of shear thinning was controlled by the magnitude of shear stress combined with the limiting shear stress.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Approach for Prediction of Elastohydrodynamic Friction with Inlet Shear Heating and Starvation

et al. 2016

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An analytical friction model is presented, predicting the coefficient of friction in elastohydrodynamic (EHD) contacts. Three fully formulated SAE 75W-90 axle lubricants are examined. The effect of inlet shear heating (ISH) and starvation is accounted for in the developed friction model. The film thickness and the predicted friction are compared with experimental measurements obtained through optical interferometry and use of a mini traction machine. The results indicate the significant contribution of ISH and starvation on both the film thickness and coefficient of friction. A strong interaction between those two phenomena is also demonstrated, along with their individual and combined contribution on the EHD friction.

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“…These conditions often result in very thin films operating at limiting shear stress of the lubricant [1]. One repercussion can be direct interaction of surfaces.…”

Section: Introductionmentioning

confidence: 99%

Magneto-hydrodynamics of couple stress lubricants in combined squeeze and shear in parallel annular disc viscous coupling systems

Daliri

Jalali-Vahid

Rahnejat

2014

Proceedings of the Institution of Mechanical Engineers, Part J:

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This paper presents predictive analysis of load carrying capacity, tractive efficiency and response time of parallel annular discs intervened with a film of lubricant under combined shear and squeeze film motions. This configuration represents operational characteristics of viscous coupling systems. In particular, the case of viscous dampers for tractive torque generation and distribution in all-wheel-drive off-road vehicles is studied. Various forms of lubricant behaviour, from idealised Newtonian to that of non-Newtonian silicone-based fluids and incompressible isothermal electrically conducting couple stress fluids, subjected to a magnetic field are studied (MHD). The solution for the MHD includes combined solution of modified Reynolds equation and Stoke's micro-continuum for couple stress fluids in squeeze and shear with rotational fluid inertia, an approach not hitherto reported in literature.It is shown that in general MHD couple stress fluids enhance the load carrying capacity of the contact and inhibit the incidence of thin films which can result in direct contact of surfaces. Rotational inertia decreases the load carrying capacity, although in general the MHD fluids show better load carrying capacity and tractive efficiency than the other alternatives. However, they exhibit a lower response time under the assumed isothermal condition. Nevertheless, the MHD fluids are best suited to applications in viscous coupling systems because of their controllability.

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Non-Newtonian mixed elastohydrodynamics of differential hypoid gears at high loads

Cited by 36 publications

References 55 publications

Non-Newtonian mixed thermo-elastohydrodynamics of hypoid gear pairs

Non-Newtonian mixed thermo-elastohydrodynamics of hypoid gear pairs

An Analytical Approach for Prediction of Elastohydrodynamic Friction with Inlet Shear Heating and Starvation

Magneto-hydrodynamics of couple stress lubricants in combined squeeze and shear in parallel annular disc viscous coupling systems

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