Sommario
Il presente lavoro studia il problema della coppia prismatica lubrificata con pattino rigido di allungamento infinito e cuscinetto deformabile; si suppone che la viscosità del fluido sia funzione della sola pressione. Il sistema di equazioni, costituito dall'equazione di Reynolds e dall'equazione dell'elasticità, è stato risolto numericamente, determinando la deformazione del cuscinetto, ľandamento della pressione e la capacità di carico per diversi valori dell'inclinazione del pattino. I risultati dimostrano che, con fluido isoviscoso, la deformabilità del cuscinetto determina una riduzione della capacità di carico. Se si considera, invece, ľeffetto combinato dell'elasticità del cuscinetto e della variazione della viscosità del fluido, la capacità di carico risulta maggiore di quella che si ottiene con fluido isoviscoso (β=0).
Summary
The present work deals with the case of a two-dimensional slider bearing with a rigid pad and an elastic bearing. Fluid viscosity is assumed to be only a pressure function. We determined the bearing deformation, the pressure distribution and the load capacity at different values of the inclination angle of the slider, with a numerical integration of the system consisting of the elasticity and Reynolds equations. The results show that, with an iso-viscous fluid, bearing elasticity causes a load capacity decrease. Instead bearing elasticity together with the variation of fluid viscosity due to pressure causes a load capacity greater than that of the iso-viscous case (β=0).
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Abbreviations
- \(\bar \zeta \) :
-
ζ/L
- \(\bar \xi \) :
-
ξ/L
- \(\bar x\) :
-
x/L
- \(\bar x'\) :
-
x′/L
- β:
-
\(\frac{{\pi ^2 }}{{24}}\frac{{\alpha E^2 L}}{{\mu _0 V}}(h_1 /L)^4 \)
- ¯C :
-
CZ/h 1
- E :
-
elasticity modulus
- h :
-
film thickness
- H :
-
elastic deformation of the bearing
- h 1 :
-
minimum film thickness
- h 2 :
-
inlet thickness
- γ:
-
inclination of the pad
- \(\bar h\) :
-
h Z/h 1
- \(\bar H\) :
-
HZ/h 1
- L :
-
pad length
- μ :
-
viscosity
- μ 0 :
-
viscosity with no over-pressure
- p :
-
over pressure
- Δp :
-
P ec-P rc where:ec=elastic caserc=rigid case
- \(\bar p\) :
-
P h 21 /6μ0VL
- τ:
-
h 2/h 1=1+γL/h 1
- FV :
-
bearing velocity
- W :
-
load capacity per unit width
- \(\bar W\) :
-
Wh 12 /6μ0 VL 2
- Z :
-
πE h 13 /12 μ0 VL 2
References
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Malvano, R., Vatta, F. Elastohydrodynamic lubrication in a plane slider bearing. Meccanica 21, 134–139 (1986). https://doi.org/10.1007/BF01556694
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DOI: https://doi.org/10.1007/BF01556694