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where Pa is the ambient pressure, Pd, the pressure downstream of the feed hole or the feed slot and Po is the supply pressure
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Fig 75: The typical load-eccentricity
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relationship for an aerostatic journal bearing [3]
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Fig 76: The typical load coefficient-gauge pressure ratio
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relationship for an aerostatic journal bearing [3]
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732 Construction of Aerostatic Bearings
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The aerostatic bearing mainly consists of bushing and flow restrictors The arrangement is very similar to that of hydrostatic bearings The flow restrictor may take the form of any one of the restrictors shown in Figure 77 The pocketed orifice (simple orifice) is the most common orifice with the highest stiffness A common arrangement is the pre-drilling of stepped plugs that are then fitted and sealed into the stepped holes in the bearing wall to achieve the required pocket depth (Figure 78) The pocketed orifice is more prone to instabilities, whereas the annular orifice tends to be free
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(a) Pocketed orifices (b) Unpocketed orifice
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(c) Elastic orifice
(d) Capillary slot
(e) Restricting land
(f) Porous surface
(g) Porous insert
(h) External flow control
Fig 77: Types of restrictors [6]
from static instability Therefore, in aerostatic thrust bearings, the pocket depth of the air bearings is kept small to minimize the tendency of vibration For some full cylindrical aerostatic bearings, pockets are eliminated altogether to avoid vibrations [5] The inlet orifice is comparatively easy to manufacture The concept is similar to Fig 78: Some practical forms of simple orifices [3] the air hockey table amusement game, but with the holes being present in the puck rather than on the table A pierced insert produces the pocketed orifice design, whereas the
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annular orifice is made by drilling Both the annular and pocket compensated orifices are turbulent flow devices Elastic orifices make use of the low stiffness of an elastomer block with a hole in the centre for producing a variation in the hole size which results from distortion of the block due to pressure differences across it Diaphragm controlled restrictors are also being tested with regard to elastic orifices On the other hand, an inlet slot is formed by a thin shim The slot provides a laminar flow that marginally increases the stiffness There is also the possibility of using a flow along axial grooves The restricting land arrangement gives a lower stiffness However, the ease of manufacture makes the design very useful for certain applications A stepped clearance, tapered clearance or grooved clearance can be employed Porous media air bearings are quite different in that the air is supplied through the entire surface of the bearing The porous material controls the airflow in the same way an orifice bearing would if it had millions of miniature holes across its surface With the exception of water and oil, it is usually not affected by dirt and rust Porous air bearings have a substantially greater stiffness and a load capacity, but in practice, it is difficult to obtain a sufficiently small bearing clearance and to maintain the openings of the pores The porous surfaces can also take the form of inserts For an external flow control, a sensor is used to monitor the bearing clearance, and a feedback control system is devised using pneumatic amplifiers to vary the supply pressure accordingly [6]
733 Classification of Aerostatic Bearings
There are five basic types of aerostatic bearing geometries: single pad, opposed pad, journal, rotary thrust and conical journal or thrust bearings [1] Another classification by Munday is listed as follows [6]: Journals basically cylindrical surfaces Thrust bearings circular or annular flat surfaces which are designed for rotation Slider bearings flat surfaces of any boundary shape which are designed for obtaining a sliding motion Spherical bearings Some of the more common and special aerostatic bearings will be introduced The more common types of air bearings are usually easily available from manufacturers such as Specialty Components [7] One of these is the cylindrical air bearing which often finds use among rotating supports such as spindles They provide the radial load capacity necessary for most journal-type air bearings In addition, this bearing can be used as a bushing-type bearing in which rotational motion is constrained about the axis of travel Many semi-conductor handling machines incorporate this type of bearing Figure 79 shows a grinding spindle incorporating cylindrical air bearings The tapered nose accommodates the wheel, whereas the axial motion of 30 mm in the Z-direction provides the oscillation High grinding accuracy results are achieved by using an air bearing for both axes The assembly shown in Figure 710 consists of a linear thrust surface, a cylindrical surface and a spherical surface This combination creates the rotor for a rotating spindle [7]
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