Multigrid, An Alternative Method for Calculating Film Thickness and Pressure Profiles in Elastohydrodynamically Lubricated Line Contacts

Lubrecht, Antonius; Napel, W.E. ten; Bosma, R.H.

doi:10.1115/1.3261260

Cited by 132 publications

(73 citation statements)

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“…Stability through wide ranges of operating conditions has been attained through use of the different FD techniques in the low and high pressure regions, as shown by Venner [2] and Nurgat et al [3]. In order to accelerate convergence the multigrid method was first employed by Lubrecht in 1986 [4]. For the fast calculation of the elastic deformation Brandt and Lubrecht [5] developed a multilevel multi-integration algorithm which significantly reduces the computational complexity in approximating deformations at each point in the contact.…”

Section: Introductionmentioning

confidence: 99%

High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems

Berzins

Goodyer

et al. 2005

Commun. Numer. Meth. Engng.

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SUMMARYIn this paper a high order Discontinuous Galerkin method is used to solve steady-state isothermal line contact elastohydrodynamic lubrication problems. This method is found to be stable across a wide range of loads and is shown to permit accurate solutions using just a small number of degrees of freedom provided suitable grids are used. A comparison is made between results obtained using this proposed method and those from a very large finite difference calculation in order to demonstrate excellent accuracy for a typical highly loaded test problem.

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Section: Introductionmentioning

confidence: 99%

High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems

Berzins

Goodyer

et al. 2005

Commun. Numer. Meth. Engng.

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“…Numerical solutions have been obtained by the authors over a wide range of ehl situations falling in both stable and unstable regions of the map but no case with a diverging perturbation or a nonunique solution was found. Clearly the stability map depends on the particular discretization scheme used in solving Reynolds equation, so that a difference between the schemes chosen here and by the discusser offers the most likely explanation for the discrepancy, a point discussed more fully in references [19] and [20]. As opposed to such numerical disturbances, of course, genuine time-dependent perturbations can arise, for example in the presence of transverse roughness, but this was not the focus of the present work.…”

Section: Authors' Closurementioning

confidence: 67%

Discussion: “The Effect of the EHD Pressure Spike on Rolling Bearing Fatigue” (Houpert, L., Ioannides, E., Kuypers, J. C., and Tripp, J., 1987, ASME J. Tribol., 109, pp. 444–450)

Kostreva

1987

Journal of Tribology

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typically of the order of 2, compared to the life calculated without a spike. Life ratios of the order of 100, as reported in the literature, are thus not expected for reasonable spike heights, although some extremely large spikes combined with a much enhanced lubricant traction coefficient did produce effects approaching this. Some preliminary experimental observations made in this laboratory have revealed no evidence of very early microspalling in bearings run with a moderately high-traction lubricant. This finding is in general agreement with the theoretical life predictions of this paper. Early damage does indeed appear, but examination by SEM shows that it takes the form of indentation by overrolling of hard contaminant particles in the contact rather than removal of material by microspalling.

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“…[10] This method is recently in wide use for solving the nonlinear partial differential equations for its characteristics of convergence stability. Nonlinear valve spring dynamics are considered in the same way as Hanachi's [11], and transient EHL film thicknesses for the cases of flat and rolling followers are computed in the pushrod type valve train system [12,13].…”

Section: Introductionmentioning

confidence: 99%

Transient elastohydrodynamic lubrication film thickness in sliding and rolling line contacts

Jang

2008

J Mech Sci Technol

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The contact behavior between cam and follower is greatly influenced by the kinematics and dynamics of the whole valve train system. This is the reason that both shape and thickness of the fluid film in the contact gap are mainly determined by applied loads and relative contact speeds as well as the curvatures of contacting elements. Most of the studies about lubricant film behavior between cam and follower have been performed without a consideration of transient effects in the contact gap. For the computational difficulties of transient effects, most contact conditions such as relative contacting speeds have been regarded as quasi-steady state during the whole operating cycle.In this work, in order to obtain stable convergence, a multigrid multi-level method is used for the computation of load capacity in the lubricant film. Nonlinear valve spring dynamics are also considered in the same way as Hanachi's. From the computational results, transient EHL film thicknesses under the conditions of different contact geometries are computed for a pushrod type valve train system during an engine cycle. Several results show the squeeze film effect, which is generally not found with conventional EHL computations of the cam and follower contact. The results are also compared with those by the Dowson-Hamrock (D-H) formula, which does not consider the dynamic film effect. Without the dynamic film effect as in D-H's formula, the minimum film thickness is highly dependent on the entraining lubricant velocity, whereas the minimum film thickness including the squeeze film effect is dependent on the applied load.

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Multigrid, An Alternative Method for Calculating Film Thickness and Pressure Profiles in Elastohydrodynamically Lubricated Line Contacts

Cited by 132 publications

References 0 publications

High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems

High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems

Discussion: “The Effect of the EHD Pressure Spike on Rolling Bearing Fatigue” (Houpert, L., Ioannides, E., Kuypers, J. C., and Tripp, J., 1987, ASME J. Tribol., 109, pp. 444–450)

Transient elastohydrodynamic lubrication film thickness in sliding and rolling line contacts

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