2017
DOI: 10.1115/1.4035154
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An Exact and General Model Order Reduction Technique for the Finite Element Solution of Elastohydrodynamic Lubrication Problems

Abstract: This work presents an exact and general model order reduction (MOR) technique for a fast finite element resolution of elastohydrodynamic lubrication (EHL) problems. The reduction technique is based on the static condensation principle. As such, it is exact and it preserves the generality of the solution scheme while reducing the size of its corresponding model and, consequently, the associated computational overhead. The technique is complemented with a splitting algorithm to alleviate the hurdle of solving an… Show more

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Cited by 26 publications
(11 citation statements)
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“…This situation makes the discharge of the grease from the micro-bearings to be difficult, destroys the hydrodynamic lubrication in the friction contact area, weakens the film-forming capacity of the lubrication film, and further improves the coefficient of friction on the sample surface. The findings commensurate with that of Habchi and Issa [27] who researched a finite element solution of elastohydrodynamic lubrication problems. It is also necessary to mention that, there is a limit to the action depth threshold for the supplementary effect of micro-bearings on grease.…”
Section: Effect Of Different Surface Treatments On Aluminum Alloy Sur...supporting
confidence: 88%
“…This situation makes the discharge of the grease from the micro-bearings to be difficult, destroys the hydrodynamic lubrication in the friction contact area, weakens the film-forming capacity of the lubrication film, and further improves the coefficient of friction on the sample surface. The findings commensurate with that of Habchi and Issa [27] who researched a finite element solution of elastohydrodynamic lubrication problems. It is also necessary to mention that, there is a limit to the action depth threshold for the supplementary effect of micro-bearings on grease.…”
Section: Effect Of Different Surface Treatments On Aluminum Alloy Sur...supporting
confidence: 88%
“…Rong-Tsong and Chao-Ho [13] proposed the fast and accurate solution of the coupled equations of thermal EHL. Habchi and Issa [14,15] obtained the coupled strategies and solution for finite-element modeling of thermal EHL problems. Hili et al [16] studied the effect of the speed and temperature on the film thickness, based on the thermal EHL experimental investigation.…”
Section: Introductionmentioning
confidence: 99%
“…In parallel, researches are working to further increase the computational speed of Reynolds based approaches, (see e.g. [23][24][25]) and to make the Navier-Stokes approach computationally more affordable through model order reduction techniques, (see e.g. [26]).…”
Section: Introductionmentioning
confidence: 99%