A Study on Characteristics and Geometric Parameters of the Flat Porous Aerostatic Bearing
A CFD software was employed to analyze the
characteristics of the flat round porous aerostatic bearings. The effects
of gap between the bearing and the guide way and the porosity of the
porous material on the load capacity of the bearing were studied. The
adequacy of the simulation model and the approach was verified. From
the parametric study, it is found that the depth of the flow path does not
influence the load capacity of the bearing; the load capacity of the
bearing will decrease if the thickness of the porous material increases
or the porous material protrudes above the bearing housing; the
variation of the chamfer at the edge of the bearing does not affect the
bearing load capacity. For a bearing with an air gap of 5μm and a
porosity of 0.1, the average load capacity and the pressure distribution
of the bearing are nearly unchanged no matter the bearing moves at a
constant or a varying speed.
<p>[1] S. A. Sheinberg, and V. G. Shuster, “Resistance to vibration of a
hydrostatic thrust bearing,” Mach. Tooling, vol. 31 no. 11, pp. 24–29, Nov.
1960.
[2] E. P. Gargiulo, Jr., and P. W. Gilmour, “A numerical solution for the
design of externally pressurized porous gas bearings: thrust bearings,”
Trans. ASME, J. Tribol., vol. 90, no. 4, pp. 810–817, Oct. 1968.
[3] A. Andrisano, and A. Maggiore, “Theoretical and experimental analysis
of an externally pressurized porous gas thrust bearing,” Tribol. Int., vol.
11, no. 5, pp. 285–288, Oct. 1978.
[4] S. Ishizawa, and E. Hori, “The flow of viscous fluid through a porous wall
into a narrow gap-a consideration of the slip of fluid on a porous surface,”
Bull., JSME, vol. 9, no. 36, pp. 719–730, Nov. 1966.
[5] G. S. Beavers, and D. D. Joseph, “Boundary conditions at a naturally
permeable wall,” J. Fluid Mech., vol. 30, no. 1, pp. 197–207, Oct. 1967.
[6] P. R. K. Murti, “Effect of velocity slip in an externally pressurized porous
thrust bearing working with an incompressible fluid,” Trans. ASME, J.
Appl. Mech., vol. 43, no. 3, pp. 404–408, Sep. 1976.
[7] R. L. Verma, “Effect of velocity slip in an externally pressurized porous
circular thrust bearing,” Wear, vol. 63, no. 2, pp. 239–244, Sep. 1980.
[8] F. C. Hsing, “The effect of fluid inertia on a porous thrust plate: An
analytical solution,” Trans. ASME, J. Tribol, vol. 93, no. 1, pp. 202–206,
Jan. 1971.
[9] R. Taylor, and G. K. Lewis, “Steady-state solutions for an aerostatic
thrust bearing with an elastic porous pad,” in Proc. 6th Int. Gas Bearing
Symp., Mar. 1974, paper C5.
[10] N. S. Rao, “Analysis of aerostatic porous rectangular thrust bearings with
offset loads,” Wear, vol. 59, no. 2, pp. 333–344, Mar. 1980.
[11] N. S. Rao, “Effect of slip flow in aerostatic porous rectangular thrust
bearings,” Wear, vol. 61, no. 1, pp. 77–86, Jun. 1980.
[12] K. C. Singh, and N. S. Rao, “Analysis of aerostatic porous annular thrust
bearings with tilt,” Wear, vol. 80, no. 3, pp. 291–299, Sep. 1982.
[13] K. C. Singh, and N. S. Rao, “Static characteristics of aerostatic porous
rectangular thrust bearings with offset load,” Trans. ASME, J. Lubr.
Technol., vol. 105, no. 1, pp. 143–146, Jan. 1983.
[14] K. C. Singh, and N. S. Rao, “Static axial characteristics of aerostatic
annular porous thrust bearings with tilt,” Proc. I MechE Part C: Mech.
Eng. Sci., vol. 197, pp. 83–88, Apr. 1983.
[15] K. C. Singh, N. S. Rao, and B. C. Majumdar, “Effect of velocity slip on
the performance of aerostatic porous thrust bearings with uniform film
thickness,” Wear, vol. 88, no. 3, pp. 323–333, Jul. 1983.
[16] K. C. Singh, N. S. Rao, and B. C. Majumdar, “Steady-state characteristics
of aerostatic porous rectangular thrust bearings incorporating the effects
of velocity slip, anisotropy and tilt,” Proc. I MechE Part C: Mech. Eng.
Sci., vol. 197, pp. 179–188, Sep. 1983.
[17] K. C. Singh, N. S. Rao, and B. C. Majumdar, “Effects of velocity slip,
anisotropy and tilt on the steady state performance of aerostatic porous
annular thrust bearings,” Wear, vol. 97, no. 1, pp. 51–63, Aug. 1984.
[18] T. Koyama, T. Aoyama, and I. Inasaki, “Characteristics of externally
pressurized porous ceramics air bearings,” Trans. JSME, Part C, vol. 55,
pp. 750–757, Mar. 1989.
[19] Y. Tian, “Static study of the porous bearings by the simplified finite
element analysis,” Wear, vol. 218, no. 2, pp. 203–209, Jul. 1998.
[20] Y. B. P. Kwan, and J. Corbett, “A Simplified method for the correction of
velocity slip and inertia effects in porous aerostatic thrust bearings,”
Tribol. Int., vol. 31, no. 12, pp. 779–786, Dec. 1998.
[21] S. Yoshimoto, and K. Kohno, “Static and dynamic characteristics of
aerostatic circular porous thrust bearings (effect of the shape of the air
supply area),” Trans. ASME, J. Tribol., vol. 123, no. 3, pp. 501–508, Jul.
2001.
[22] T. S. Luong, W. Potze, J. B. Post, R. A. J. van Ostayen, and A. van Beek,
“Numerical and experimental analysis of aerostatic thrust bearings with
porous restrictors,” Tribol. Int., vol. 37, no. 10, pp. 825–832, Oct. 2004.
[23] M. Miyatake, S. Yoshimoto, and K. Yagi, “Static and dynamic
characteristic of aerostatic porous thrust bearings with deep feed groove,”
Trans. JSME, Part C, vol. 71, no. 2, pp. 738–744, Feb. 2005.
[24] D. Z. Wu, and J. Z. Tao, “Analysis on the static performance of porous
graphite aerostatic thrust bearings,” in 2010 Proc. Int. Conf. Comput.
Eng. Technol., vol. 5, pp. V5112-5115.
[25] B. E. Launder, and D. B. Spalding, Lectures in mathematical models of
turbulence, London: Academic Press, 1972.
[26] J. O. Hinze, Turbulence, New York: McGraw-Hill, 1975.</p>
<p>[1] S. A. Sheinberg, and V. G. Shuster, “Resistance to vibration of a
hydrostatic thrust bearing,” Mach. Tooling, vol. 31 no. 11, pp. 24–29, Nov.
1960.
[2] E. P. Gargiulo, Jr., and P. W. Gilmour, “A numerical solution for the
design of externally pressurized porous gas bearings: thrust bearings,”
Trans. ASME, J. Tribol., vol. 90, no. 4, pp. 810–817, Oct. 1968.
[3] A. Andrisano, and A. Maggiore, “Theoretical and experimental analysis
of an externally pressurized porous gas thrust bearing,” Tribol. Int., vol.
11, no. 5, pp. 285–288, Oct. 1978.
[4] S. Ishizawa, and E. Hori, “The flow of viscous fluid through a porous wall
into a narrow gap-a consideration of the slip of fluid on a porous surface,”
Bull., JSME, vol. 9, no. 36, pp. 719–730, Nov. 1966.
[5] G. S. Beavers, and D. D. Joseph, “Boundary conditions at a naturally
permeable wall,” J. Fluid Mech., vol. 30, no. 1, pp. 197–207, Oct. 1967.
[6] P. R. K. Murti, “Effect of velocity slip in an externally pressurized porous
thrust bearing working with an incompressible fluid,” Trans. ASME, J.
Appl. Mech., vol. 43, no. 3, pp. 404–408, Sep. 1976.
[7] R. L. Verma, “Effect of velocity slip in an externally pressurized porous
circular thrust bearing,” Wear, vol. 63, no. 2, pp. 239–244, Sep. 1980.
[8] F. C. Hsing, “The effect of fluid inertia on a porous thrust plate: An
analytical solution,” Trans. ASME, J. Tribol, vol. 93, no. 1, pp. 202–206,
Jan. 1971.
[9] R. Taylor, and G. K. Lewis, “Steady-state solutions for an aerostatic
thrust bearing with an elastic porous pad,” in Proc. 6th Int. Gas Bearing
Symp., Mar. 1974, paper C5.
[10] N. S. Rao, “Analysis of aerostatic porous rectangular thrust bearings with
offset loads,” Wear, vol. 59, no. 2, pp. 333–344, Mar. 1980.
[11] N. S. Rao, “Effect of slip flow in aerostatic porous rectangular thrust
bearings,” Wear, vol. 61, no. 1, pp. 77–86, Jun. 1980.
[12] K. C. Singh, and N. S. Rao, “Analysis of aerostatic porous annular thrust
bearings with tilt,” Wear, vol. 80, no. 3, pp. 291–299, Sep. 1982.
[13] K. C. Singh, and N. S. Rao, “Static characteristics of aerostatic porous
rectangular thrust bearings with offset load,” Trans. ASME, J. Lubr.
Technol., vol. 105, no. 1, pp. 143–146, Jan. 1983.
[14] K. C. Singh, and N. S. Rao, “Static axial characteristics of aerostatic
annular porous thrust bearings with tilt,” Proc. I MechE Part C: Mech.
Eng. Sci., vol. 197, pp. 83–88, Apr. 1983.
[15] K. C. Singh, N. S. Rao, and B. C. Majumdar, “Effect of velocity slip on
the performance of aerostatic porous thrust bearings with uniform film
thickness,” Wear, vol. 88, no. 3, pp. 323–333, Jul. 1983.
[16] K. C. Singh, N. S. Rao, and B. C. Majumdar, “Steady-state characteristics
of aerostatic porous rectangular thrust bearings incorporating the effects
of velocity slip, anisotropy and tilt,” Proc. I MechE Part C: Mech. Eng.
Sci., vol. 197, pp. 179–188, Sep. 1983.
[17] K. C. Singh, N. S. Rao, and B. C. Majumdar, “Effects of velocity slip,
anisotropy and tilt on the steady state performance of aerostatic porous
annular thrust bearings,” Wear, vol. 97, no. 1, pp. 51–63, Aug. 1984.
[18] T. Koyama, T. Aoyama, and I. Inasaki, “Characteristics of externally
pressurized porous ceramics air bearings,” Trans. JSME, Part C, vol. 55,
pp. 750–757, Mar. 1989.
[19] Y. Tian, “Static study of the porous bearings by the simplified finite
element analysis,” Wear, vol. 218, no. 2, pp. 203–209, Jul. 1998.
[20] Y. B. P. Kwan, and J. Corbett, “A Simplified method for the correction of
velocity slip and inertia effects in porous aerostatic thrust bearings,”
Tribol. Int., vol. 31, no. 12, pp. 779–786, Dec. 1998.
[21] S. Yoshimoto, and K. Kohno, “Static and dynamic characteristics of
aerostatic circular porous thrust bearings (effect of the shape of the air
supply area),” Trans. ASME, J. Tribol., vol. 123, no. 3, pp. 501–508, Jul.
2001.
[22] T. S. Luong, W. Potze, J. B. Post, R. A. J. van Ostayen, and A. van Beek,
“Numerical and experimental analysis of aerostatic thrust bearings with
porous restrictors,” Tribol. Int., vol. 37, no. 10, pp. 825–832, Oct. 2004.
[23] M. Miyatake, S. Yoshimoto, and K. Yagi, “Static and dynamic
characteristic of aerostatic porous thrust bearings with deep feed groove,”
Trans. JSME, Part C, vol. 71, no. 2, pp. 738–744, Feb. 2005.
[24] D. Z. Wu, and J. Z. Tao, “Analysis on the static performance of porous
graphite aerostatic thrust bearings,” in 2010 Proc. Int. Conf. Comput.
Eng. Technol., vol. 5, pp. V5112-5115.
[25] B. E. Launder, and D. B. Spalding, Lectures in mathematical models of
turbulence, London: Academic Press, 1972.
[26] J. O. Hinze, Turbulence, New York: McGraw-Hill, 1975.</p>
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:54340", author = "T. Y. Huang and B. Z. Wang and S. C. Lin and S. Y. Hsu", title = "A Study on Characteristics and Geometric Parameters of the Flat Porous Aerostatic Bearing", abstract = "A CFD software was employed to analyze the
characteristics of the flat round porous aerostatic bearings. The effects
of gap between the bearing and the guide way and the porosity of the
porous material on the load capacity of the bearing were studied. The
adequacy of the simulation model and the approach was verified. From
the parametric study, it is found that the depth of the flow path does not
influence the load capacity of the bearing; the load capacity of the
bearing will decrease if the thickness of the porous material increases
or the porous material protrudes above the bearing housing; the
variation of the chamfer at the edge of the bearing does not affect the
bearing load capacity. For a bearing with an air gap of 5μm and a
porosity of 0.1, the average load capacity and the pressure distribution
of the bearing are nearly unchanged no matter the bearing moves at a
constant or a varying speed.
", keywords = "Aerostatic bearing, Load capacity, Porosity, Porous
material.", volume = "7", number = "7", pages = "1442-7", }
