Self Lubricating


The aim of the experiment was to determine porosity of the sleeve of a self-lubricating bearing, saturate the sleeve with oil. Beside this we checked the way of mounting the sliding bearing and calculated the change of torque in the first ten minutes of operation of such a bearing.

The measurements of dimensions of sleeves were done carefully, with use of laboratory, analytical balance, calibrating mandrel, inner and outer diameter gauges etc.

Following the instruction, we put the dry, new sleeve inside the vacuum dryer. Simultaneously the other members of group remounted old sleeve and assembled new one, saturated with oil. Then the engine of wearing-in stand was switched on and the measurements were taken.

TABLE 7.1

Measured quantities

[kg]

Calculated quantities

Errors

Q1

0,06452

ρv

5246,855

[kg/m3]

Δρv

2,77E-7

Q2

0,0632

Qol

-0,00132

[kg]

ΔQol

0,014142136

Q3

0,05305

Po

-0,12198

 

ΔPo

0,0000551

Q4

0,00211

Pc

0,331611

 

ΔPc

0,000359


0x01 graphic
mass of dry sleeve (before saturating it with oil)

0x01 graphic
mass of sleeve after saturating with oil

0x01 graphic
mass of sleeve saturated with oil, along with the wire, submerged in water

0x01 graphic
mass of wire whose one end (shaped as loop) is immersed in water

0x01 graphic
- mass density of sintered material

0x01 graphic
- oil penetrated into it's pores

0x01 graphic
- active porosity

0x01 graphic
- total porosity

V - sleeve volume

0x01 graphic
volume of open pores

0x01 graphic
total volume of pores

0x01 graphic
mass density of the water (takes0x01 graphic
)

0x01 graphic
mass density of oil used to saturate sleeve

0x01 graphic
- oil density as a function of temperature 0x01 graphic

0x01 graphic
mass density of iron (takes 0x01 graphic
)

TABLE 7.2 (if not marked different, all units in mm)

Measured quantities

The orientation of the measuring device

Average value

RMS Error

0o

45o

90o

135o

Do

35,99

35,99

35,988

35,99

35,9135

0,001446

35,99

35,988

35,987

35,99

35,988

35,987

35,986

35,988

Dp

36,06

36,054

36,057

0,0004226

Negative allowance

Dp-Do=

0,1435

dp

25

25

25

0

dc

24,8

24,85

24,9

24,85

24,79583

0,062006

24,8

24,75

24,8

24,85

24,8

24,75

24,7

24,7

Clearance

dp-dc=

0,20417

0x01 graphic
diameter of the holder's seating hole

0x01 graphic
outer diameter of the sleeve

0x01 graphic
diameter of sleeve's hole after calibration

0x01 graphic
diameter of the journal

0x01 graphic
- root mean square

0x01 graphic
- avarage value

TABLE 7.3

Rotational velocity ω = 152,1/s

Circumferential speed U =2,66175 m/s

Weight mass Q = 1,13kg

Mean pressure p = 0,105955 N/mm2

Temperature at the beginning T0 = 23,5°C

No.

Time t

[min]

Measured

quantities

Calculated values

G[g]

T[°C]

M [Nm]

M [Nm]



 [MPas]

∙10-8

1

0

305

29

0,186

0,004266222

0,133756317

1,62245E-05

1,27414

2,9125E-06

2

2

275

25

0,167

0,004065236

0,120599958

1,46362E-05

1,59714

3,6508E-06

3

4

270

37

0,164

0,004032853

0,118407232

1,43726E-05

0,879334

2,01E-06

4

6

275

40

0,167

0,004065236

0,120599958

1,46362E-05

0,780929

1,7851E-06

5

8

280

42

0,170

0,004097951

0,122792685

1,49001E-05

0,725028

1,6573E-06

0x01 graphic
- circumferential speed

0x01 graphic
- mean pressure

0x01 graphic
- torque of resistance to motion In self lubricating bearing

0x01 graphic
friction coefficient

0x01 graphic
Hersey's numer In dimensionless form

0x01 graphic
- actual load bearing

0x01 graphic

i =6,95- lever ratio of loading system

0x01 graphic
mass of holder together with lever system and pan, reduced to bearing axis

d=36mm -nominal diameter of bearing

L=20,2mm - length of sleeve

G - mass indicated by the balance

l - length of lever arm

ERROR ANALYSIS

ρwd=0,997 ±0,0003g/cm3

ρFe=7,850 g/cm3±0,003g/cm3

ρol=0,899 g/cm3-0,00075[g/(cm3oC)] ∙T[oC] ± 0,01g/cm3

The measured values are:

T=29 ±0,1 oC

Q1=64,52±0,01g

Q2=63,2±0,01g

Q3=53,05±0,01g

Q4=2,11±0,01g

We assume the certainty level of αp=0,9973 for all errors (Δ) which is equivalent to the interval [±3σ].

Thus the errors are:

Δρv=3∙σ(ρv)

ΔQol=3∙σ(Qol)

ΔPo=3∙σ(Po)

ΔPc=3∙σ(Pc)

The standard deviations of the respective quantities are expressed as:

0x01 graphic

0x01 graphic

0x01 graphic

0x01 graphic

The relations between the measured quantities:

0x01 graphic
0x01 graphic
0x01 graphic
0x01 graphic

Having calculated the partial derivatives, we express the respective standard deviations as:

0x01 graphic

0x01 graphic

0x01 graphic

0x01 graphic

σ(ρwd)=Δρwd/3=0,0001g/cm3

σ(ρFe)= ΔρFe/3=0,001g/cm3

σ(ρol)= Δρol/3=0,00333g/cm3

σ(Qi)= σ(Q)= ΔQi/3=0,00333g

In the same way we calculate the errors of resistance torque and coefficient of friction:

Variances:
0x01 graphic

0x01 graphic

Derivatives:

0x01 graphic
0x01 graphic

0x01 graphic
0x01 graphic

Standard deviations:

0x01 graphic

0x01 graphic

0x01 graphic

0x01 graphic

0x01 graphic

0x01 graphic

0x01 graphic

Conclusions

In first part of our experiment, we didn't turn on the outlet from our dryer. By mistake we didn't close the inlet valve, and open the vent valve, so when we start the vacuum pipe, whe didn't have the pressure drop. By that our sleeve wasn't saturated, and the first part of our experiment was failed. In the second part we didn't cool down the sleeve to the ambient temperature, so on the beginning we have higher temperature, and viscosity, that in the next measure, but in the next steps, the results seems like good.

7



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