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Tribological effects of a rough surface bearing using an average flow analysis with a contact model of asperities

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Abstract

To evaluate the effects of surface roughness for a slider bearing operating under partial or boundary lubrication, a new approach with both stochastic and contact characteristics is proposed. It has become important to study the phenomenon of asperity contact in bearings because the growth of contact area under heavy load conditions induces severe changes in their performance. In this study, average flow factors derived according to Patir and Cheng were used and a model for multi-asperities contact was incorporated to calculate the tribological performance of a bearing with random surface roughness. An analysis using the modified Reynolds equation with both the average flow model and the contact model of asperities was conducted and compared with previous findings. The results showed that the influence of roughness parameters on friction and load capacity increased rapidly upon application of asperities contact.

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Abbreviations

W :

total resultant load

W p :

load supported by hydrodynamic pressure

p:

hydrodynamic pressure

W c :

load supported by normal stress of the asperity contact area

σ c :

normal stress of the asperity contact area

A n :

apparent area of bearing surface

A r :

real contact area of bearing surface

F r :

total friction force

F p :

force of fluid friction due to shear stress

τ p :

shear stress

F c :

shearing force due to shear stress of the asperities in contact between the bearing surface

τ c :

shear stress of the asperities in contact between the bearing surface

h t :

local film thickness

h :

nominal film thickness

δ 1, δ 2 :

random roughness amplitudes of the two surfaces

Ø x , Ø y :

pressure flow factor

Ø s :

shear flow factor

x :

length of the model bearing for simulation

y :

width of the model bearing for simulation

\(\overline p \) :

mean value of pressure

\(\overline {{h_t}} \) :

mean value of film thickness

Ø fp , Ø fs :

empirical shear stress factor

μ :

viscosity

ω :

distance by the opposing rigid surfaces

z:

height of each asperity

d:

approaching distance of the smooth rigid surface

φ(z):

Gaussian distribution

N :

total number of asperities

N c :

number of asperities in contact

η :

area density of the asperities

A a :

individual real contact area of the asperity

W a :

individual loading force of asperity contact

F a :

individual friction force

H :

hardness of the bearing material

Ψ :

plastic index

Y 0 :

yield strength

E :

elastic modulus

R :

uniform radius of asperity

S σ :

standard deviation of asperity

K :

hardness coefficient

Fmax :

maximum static friction force

A 0 :

real contact area at sliding inception

τ max :

maximum shear stress

Ck :

maximum shear stress critical value

ku:

kurtosis

sk:

skewness

γ 1, γ 2 :

surface pattern parameter

V r1, V r2 :

variance ratio

h m :

minimum nominal film thickness

S m :

slope height

L :

length of the bearing

U:

velocity of bearing

Cf :

friction coefficient

Λ:

film parameter

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Authors and Affiliations

  1. Department of Nano Fusion Technology, Pusan National University, Samnangjin-ro 1268-50, Samnangjin-eup, Miryang-si, Gyeongsangnam-do, 50463, South Korea

    Miru Kim

  2. Ulsan Center for Creative Economy & Innovation, 93, Daehak-ro, Nam-gu, Ulsan, 44610, South Korea

    Sang Min Lee

  3. Department of Nanomechatronics Engineering, Pusan National University, Samnangjin-ro 1268-50, Samnangjin-eup, Miryang-si, Gyeongsangnam-do, 50463, South Korea

    Deug Woo Lee

  4. Department of Mechanical and Manufacturing Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Canada

    Simon Park & Seonghwan Kim

Authors
  1. Miru Kim
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  2. Sang Min Lee
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  3. Deug Woo Lee
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  5. Seonghwan Kim
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Correspondence to Deug Woo Lee.

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Kim, M., Lee, S.M., Lee, D.W. et al. Tribological effects of a rough surface bearing using an average flow analysis with a contact model of asperities. Int. J. Precis. Eng. Manuf. 18, 99–107 (2017). https://doi.org/10.1007/s12541-017-0012-9

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  • DOI: https://doi.org/10.1007/s12541-017-0012-9

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