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(b) Multi-recess circular pads Other than having a circular shape, hydrostatic pads can have shapes such as square, rectangular, annular recess circular, conical spherical, multi-recess circular, multi-recess rectangular, rectangular with radiussed recess corners and annular multi-recess Example: Multi-Recess Circular Pad Hydrostatic Bearings The design for the foregoing example is repeated for the multi-recess circular pad arrangement as shown in Figure 658 (a) The required design data are presented in Figure 658 (b) As the suggested design value for C/R is between 015 and 025, the C/R ratio for the design purpose of this problem is assumed to be 020 Therefore, from Figure 658 (b), the coefficients A and B are read as 066 and 22, respectively The bearing pad area is calculated as follows: F = A pR A p



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The resistor network known as the Wheatstone Bridge is named after Sir Charles Wheatstone, who found many uses for it in and around 1843. He didn t invent, it, though. Samuel Hunter Christie documented this bridge in 1833. The Wheatstone Bridge consists of two voltage dividers, as shown in Fig. 5-19. Typically, one of the dividers has a xed value and provides a reference voltage. The other divider has a variable resistor in it, such as R2.

Ap = 1515 in2 977515 mm2 The radius, R, can be determined from the following relation: Ap = pR2 R =





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C = 020R C = 020 (220) C = 044 in 1118 mm The clearance, h, is recommended to be between 0001 and 001 in Assume h = 0005 in = 0127 mm The viscosity can be obtained from Figure 635 for a given type of lubricant and temperature In this case, it is assumed that viscosity, = 83 10 6 lbs/in2 The oil flow can be approximated as

Fig. 5-19.

Q = 875 in3/s 143 35179 mm3/s The pumping power can be calculated as P = PRQ P = 400 875 P = 3500 lbin/s 3500 P = 12 550 P = 0530 hp 39517 W From Table 69, it can be seen that for a similar load, circular pads require less lubricant flow and pumping power However, multi-recess bearings are superior because they are able to exert a Table 69 Comparison between a circular pad and a multi-recess circular pad

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This may be a potentiometer or, more likely, some kind of sensor like a photoresistor, strain gauge, or thermistor (a typical temperature sensor). The output voltage is the di erence of the output of the two voltage dividers: Vout VA VB Expanding from equation (5-8), we get: R2 R4 Vout Vin R1 R2 R3 R4

Circular pad Oil flow, Q Pumping power, P 430 in3/s 0247 hp Multi-recess circular pad 875 in3/s 0530 hp

Fig 658: Multi-recess circular pad data for load and flow: (a) bearing geometry and (b) bearing coefficients

5-9

(suggested design value 015 < C/R < 025) [19]

self-aligning torque when the film is non-parallel Similarly, different pads can be tested to obtain an arrangement that is most suitable for a particular application (c) Rectangular pads The design of hydrostatic thrust bearings for worktable application is illustrated using Stansfield s [17] approach with an example to further enhance the understanding of the procedure Example: Rectangular Pad Hydrostatic Bearings Figure 659 shows an arrangement of 10 hydrostatic pads designed to meet the following specification for the worktable of a large planing machine (Figure 638 (b)) [17]

Another use for the Wheatstone Bridge is to measure an unknown resistance. If, for example, R3 was an unknown resistor, we can adjust the calibrated R2 until the output voltage goes to zero. R3 is then equal to: R3 R1 R4 R2 R1 5-10 R2 To get good results, all of the known resistors need to have tight tolerance values to reduce the amount of error in the circuit. R3 R4

Minimum load, most lightly loaded pad Maximum load, most heavily loaded pad Nominal (design) working load per pad Maximum permissible range of deflection 1 350 lbf 10 660 lbf 6 000 lbf 0003 in SI units 6 010 N 47 400 N 26 700 N 00762 10 3 m

Try This: This little project will give you some hands-on experience with resistors, voltage, and the Wheatstone Bridge. You will need the various tools and parts listed in Table 5-4 to complete this project.

Fig 659: Arrangement of hydrostatic pads on a planer table [17]

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