Derivation of dynamic couple-stress Reynold’s equation of sliding-squeezing surfaces and numerical solution of plane inclined slider bearings

Lin, Jaw‐Ren; Lu, Rong-Fang; Chang, Tong‐Bou

doi:10.1016/s0301-679x(03)00011-2

Cited by 22 publications

(18 citation statements)

References 16 publications

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“…27 The effect of the profile parameter r on the load carrying-capacity is shown in Figures 7 and 8. It is shown that when r increases, the load-carrying capacity increases sharply at first until a maximum value, reached at around r = 2.25 for the Newtonian rigid case (Figure 7a), for example, and decreases gradually, as also found by Chiang et al 23 for rough finite slider bearing, by Lin et al 28 for smooth plane inclined slider bearing and recently by Yagi and Sugimura 27,29 for both smooth slider and step bearings. Further, the maximum value of the load-carrying capacity is more pronounced for the anisotropic roughness type.…”

Section: The Load-carrying Capacitysupporting

confidence: 74%

“…It is shown that when r increases, the load‐carrying capacity increases sharply at first until a maximum value, reached at around r = 2.25 for the Newtonian rigid case (Figure a), for example, and decreases gradually, as also found by Chiang et al . for rough finite slider bearing, by Lin et al . for smooth plane inclined slider bearing and recently by Yagi and Sugimura for both smooth slider and step bearings.…”

Section: Resultsmentioning

confidence: 93%

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Coupled couple stress and surface roughness effects on elasto-hydrodynamic contact

et al. 2013

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This paper deals with the combined effects of couple stress and surface roughness to inspect the elasto‐hydrodynamic performance of slider bearing systems. On the basis of the couple stress Stokes theory and homogenisation method, the homogenised generalised Reynolds equation including the slider bearing stationary surface deformation is derived. The total deformation include the deformation of smooth surface, taken into account by the elastic thin layer model, and the deformation of roughness corresponding to a sinusoidal normal displacement on an elastic half space of identical wavelength. The governing equations are discretised by the finite difference method, and the obtained algebraic equations are solved using the iterative overrelaxation Gauss–Seidel technique. The load‐carrying capacity and friction coefficient are presented for transverse, longitudinal and anisotropic roughness patterns for different values of the couple stress parameter in both rigid and deformable cases. The simulation results indicate that the interaction between couple stress, surface roughness and elastic deformation effects is significant. Copyright © 2013 John Wiley & Sons, Ltd.

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Section: The Load-carrying Capacitysupporting

confidence: 74%

Section: Resultsmentioning

confidence: 93%

Coupled couple stress and surface roughness effects on elasto-hydrodynamic contact

et al. 2013

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“…Figure 3 shows the dynamic stiffness coefficient K * d as a function of shoulder parameter a for different types of slider bearings. Using the inclined planeshaped film by Lin et al (2003), the results of wide inclined plane-shaped non-Newtonian bearing can be evaluated and included in the figure for comparison. It is observed that under the Newtonian-lubricant case, the secant-shaped bearing yields a higher stiffness coefficient at the value of shoulder parameter about a .…”

Section: Resultsmentioning

confidence: 99%

“…For the present study, the lubricant of the bearing is taken to be a Stokes (1966) incompressible couple stress fluid. According to the derivation by Lin et al (2003), the dynamic non-Newtonian couplestress dynamic Reynolds-type equation for a slider bearing considering the sliding motion and the squeezing action can be written as the following:…”

Section: Discussionmentioning

confidence: 99%

“…In addition, the steady-state performance of slider bearings with couple stress fluids has also been investigated in an inclined plane-shaped profile by Ramanaish (1979a, b) and in a secant-shaped profile by Bujurke et al (2005). Since the understanding of dynamic characteristics is helpful for accessing the bearing dynamics, therefore, the dynamic characteristics of an inclined plane slider bearing with couple stress fluids are investigated by Lin et al (2003). However, the study of dynamic characteristics of a secant-shaped couple-stress lubricated slider bearing is still absent.…”

Section: Nomenclature Amentioning

confidence: 99%

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The effects of non-Newtonian rheology in the dynamic coefficients of wide slider bearings with a secant-shaped film profile

Lin¹,

Lu²,

Chu

et al. 2013

Industrial Lubrication and Tribology

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Purpose -The purpose of this paper is to investigate the effects of non-Newtonian rheology on the dynamic characteristics of a secant-shaped couple-stress lubricated slider bearing. Design/methodology/approach -By applying the linear dynamic theory to the film force equation, a closed-form solution of the stiffness and damping coefficients is obtained for the secant-shaped bearing taking into account the non-Newtonian effects of Stokes couple stress fluids. Findings -Comparing with the secant-shaped Newtonian-lubricant bearing, the effects of non-Newtonian couple stresses provide an apparent improvement in the dynamic stiffness and damping characteristics, especially for the secant-shaped slider bearing operating at lower squeezing-film heights and with larger non-Newtonian couple stress parameters. Originality/value -Comparing with those of the inclined plane-shaped non-Newtonian slider bearings, better dynamic stiffness and damping performances are provided for the secant-shaped non-Newtonian slider bearing designed at larger values of the shoulder parameters. The advantages of secant-shaped slider-bearing types provide engineers useful information in bearing selection and engineering application.

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Numerical Simulation of Finite Slider Bearings Using Control Volume Method

Oladeinde

Akpobi²

2011

Intelligent Automation and Systems Engineering

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Derivation of dynamic couple-stress Reynold’s equation of sliding-squeezing surfaces and numerical solution of plane inclined slider bearings

Cited by 22 publications

References 16 publications

Coupled couple stress and surface roughness effects on elasto-hydrodynamic contact

Coupled couple stress and surface roughness effects on elasto-hydrodynamic contact

The effects of non-Newtonian rheology in the dynamic coefficients of wide slider bearings with a secant-shaped film profile

Numerical Simulation of Finite Slider Bearings Using Control Volume Method

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