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Ro =
6 ( 0345 ) 3 60 90 3096 00508 10 3 + 15 15
Ro = 228 1012 Nsm 5
Rolling Element, Hydrodynamic and Hydrostatic Bearings
Hydrostatic thrust bearing
Linear motor
Bolt
Hydrostatic thrust bearing Bolt
Linear motor
Flux density (B)
Current (I)
Force (F)
Magnet attraction (Fa) Magnet assembly
Fig A61
Precision Engineering
The Resistance Ratio,
Ri Ro
p1 R 1+ i Ro
x 1 p2 =
Pocket Pressure,
p 2 =
155 10 6 1+1 p2 = 775 10 7 nm 2
c c Av = a b 1 a b
Virtual Bearing Area, Av =
( 60 10 3 ) ( 90 10 3 ) 1 15 15 60 90
Av = 3148 10 3 m2 Hydrostatic Thrust, T = p2 Av T = (775 10 7) (3148 10 3) T = 24397 10 9 N
T dT = 3 d hd 1 + dh
Bearing Stiffness,
(24397 10 9 ) 1 dT = 3 00508 10 3 1 + 1 dh dT = 720 10 5 Nm 1 dh
GAS LUBRICATED BEARINGS
7
71 INTRODUCTION
In this chapter, references are made to the following books: 1 Hamrock, B J, Fundamentals of Fluid Film Lubrication, McGraw Hill, 1999 2 Powell, JW, Design of Aerostatic Bearings, The Machinery Publishing Co Ltd, 1970 3 Slocum, AH, Precision Machine Design, Prentice Hall, 1992 Of these three books, it is found that the work of JW Powell is comprehensive Therefore, most of his work is cited in this chapter A gas bearing is defined as a device having two accurately machined surfaces which are separated by a thin film of gas and arranged in such a way that any tendency to change the clearance between the surfaces is resisted by a change in pressure in the gas film Gas bearings, which are also known as air bearings, allow designers to push the envelope on precision and high-speed applications The fluid film of the bearing is achieved by supplying a flow of air through the bearing itself to the bearing surface The design of the air bearing is such that although the air constantly dissipates from the bearing site, the continual flow of pressurized air through the bearing is sufficient to support working loads The earliest experimental work on compressible fluid bearings was conducted by Hirn and published in 1854 The work highlighted the use of a thin-film of high-pressure air to reduce friction in machinery In 1897, Kingsbury experimented with a six inch diameter gas journal bearing, and later in 1904, Westinghouse developed an air thrust bearing to support a vertical steam turbine In 1920, the externally pressurized air journal bearing was patented by Abbott [1] The limitation in manufacturing capability impaired the further development of gas bearings In the years following World War II, significant improvements were achieved in gas bearings as they were developed for applications in nuclear power and defense industries Advances in computing
Copyright 2007 by Tata McGraw-Hill Publishing Company Limited Click here for terms of use
Precision Engineering
technology allow the design of gas bearings to be better approximated The use of finite difference and finite element analysis methods is widely applied to gas bearing analysis The majority of the new work is focused on expanding the applications of gas bearings
72 AERODYNAMIC BEARINGS
Aerodynamic bearings, which are sometimes known as active gas bearings, function depending on the relative motion between the bearing surfaces and usually some type of spiral grooves to draw the air between the bearing lands This bearing action is very similar to hydroplaning on a puddle of water in the case of automobiles moving at high speeds At a lower speed, the tyre cuts through the water on the road In a similar way, aerodynamic bearings require a relative motion between surfaces, when there is no motion or when the motion is not fast enough to generate an air film, the bearing surfaces will come into contact Aerodynamic bearings are often referred to as foil bearings or self-acting bearings, and they generate pressure within the gas film by viscous shearing This type of bearing is relatively simple because it is independent of an external pressure source and mechanism However, its application is limited due to the fact that the surfaces require a very high standard of accuracy and a low load capacity [3] It is also not suitable for applications where frequent starts and stops or change of direction is required The aerodynamic bearing system is however simpler and cheaper to operate
Fig 71: Air bearing pressure distribution for a read write head flying over a spinning disc [2]
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