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Crush Height of Engine Bearings

Dr. Dmitri Kopeliovich

Introduction

A rotating crankshaft takes the following actions on the engine bearings:


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Bearing Press Fit

The adverse effects described in the previous section can be mitigated by proper fitting of the bearing in its housing.
The bearing back perimeter is always greater then the perimeter of the housing bore. In other words, the bearing outside diameter (OD) is greater than the bore diameter. Therefore, a bearing mounted in the housing is mechanically stressed and elastically compressed.
The difference between the bearing OD and bore diameter is called interference. Its value determines parameters of the bearing press fit.
Fig.1 depicts a bearing mounted in the housing.
The friction torque ML induced by the rotating shaft is balanced by the torque MH produced at the interface between the bearing back and bore surface. Counteracting of the two torques prevents spinning of the bearing. Elastic deformation of the bearing builds compression stress σ along the bearing wall.
Stress at the bearing-bore interface induces contact pressure P, which is normal to the bore surface.

crush_height_of_engine_bearings_fig.1.jpg

Fig.1 Condition of Press Fitted Bearing

A properly fitted bearing has uniform firm contact with the housing surface, which fulfills the following functions:

The value of contact pressure P required for reliable press fit of engine bearings depends on the bearing work conditions. Commonly it is not less than 8-10 MPa (1200-1500 psi).
Increasing contact pressure leads to an increase of the compression stress σ which may cause distortion of the bearing profile geometry at the joint zones in form of inward protrusion of the bearing material (Fig.2).

crush_height_of_engine_bearings_fig.2.jpg

Fig.2 Distortion Caused by Too High Compression Stress

Depending on the application, the maximum value of compression stress σ, should not exceed 400-500 MPa (58,000-72,500 psi).

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Crush Height

There is no standard method of direct measurement of the bearing outside diameter or peripheral length . Instead a method of checking the bearing crush height is used.
Crush height is the difference between the outside circumferential length of a half bearing (one half shell) and half of the housing circumference measured at a certain press load.
Fig.3 and 4 illustrate a device for measuring crush height.
The tested bearing is installed in the gauge block and pressed with a predetermined force F producing compression stress σ=100 MPa. The force is calculated using formula:

F = 100*Acalc

Where:
F - applied force, N;
Acalc - cross-sectional area of bearing equivalent to bearing made of steel only, mm2;

crush_height_of_engine_bearings_fig.3.jpg

Fig.3 Measurement of Crush Height


crush_height_of_engine_bearings_fig.4.jpg

Fig.4 Measurement of Crush Height (ISO 3548-1)

The optimal value for crush height is dependent on the bearing diameter, housing material (modulus of elasticity and thermal expansion), housing dimensions and stricture (rigidity), and temperature.
The value of crush height not only determines compression stress σ and contact pressure P, but also affects the value of oil clearance. Greater crush height causes greater elastic expansion of the housing resulting in increase of oil clearance.
The effect of crush height, housing dimensions, material and temperature on the compression stress. contact pressure and oil clearance is illustrated in the following sections 4, 5 and 6.

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Effect of Housing Material

Housings of engine bearings are made of various materials such as steel, cast iron, aluminum or titanium.
The materials have different values of modulus of elasticity, Poisson’s ratio and coefficient of thermal expansion.
Therefore, a bearing having a particular value of the crush height induces different stress, contact pressure and oil clearance when fitted in identical housings but made of different materials.
Parameters of the bearings used in calculations are given in Table 1.
Crush height tolerance (difference between max. and min. limits) used in the calculations was 0.037 mm/1.5 thou.

Table 1 Input Parameters

Housing material Bearing material Housing OD/ID Housing ID, mm/inch Shaft diameter, mm/inch Bearing thickness, mm/inch Bearing length, mm/inch Temperature, ⁰C/ ⁰F
min. max. min. max. min. max.
Steel, Aluminum Tri-metal 1.5 50.180 / 1.9756 50.200 / 1.9763 46.958 / 1.8487 46.970 / 1.8492 1.588 / 0.0625 1.600 / 0.0630 15.0 / 0.591 20 / 68


The calculation results are presented in Fig.5-7.
Housing made of aluminum having modulus of elasticity ~1/3 of that of steel produces much lower compression stress at the same crush height (Fig.5). For example at crush height 0.1 mm/4 thou compression stress of the bearing wall is 350 MPa/50,750 psi in aluminum housing and 450 MPa/65,250 psi in steel housing.

crush_height_of_engine_bearings_fig.5.jpg

Fig.5

If required contact pressure is 10 MPa/1500 psi in steel housing it is achieved at crush height 0.06 mm/2.4 thou, whereas in aluminum housing crush height should be 0.082 mm/3.2 thou (Fig.6).

crush_height_of_engine_bearings_fig.6.jpg

Fig.6

The difference in oil clearance in housings made of different materials reaches 20 µm/0.8 thou at crush height 0.100 mm/4 thou (Fig.7) - aluminum housing expands more than housing made of steel.

crush_height_of_engine_bearings_fig.7.jpg

Fig.7

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Effect of Housing Rigidity

One of the factors affecting housing expansion is its rigidity or OD-to-ID ratio.
The higher the ratio the less housing deformation and the bearing stress and contact pressure (Fig.8-10).
The calculations were conducted for steel housing at OD-to-ID ratio varying between 1.25 to 2.0.

crush_height_of_engine_bearings_fig.8.jpg

Fig.8

crush_height_of_engine_bearings_fig.9.jpg

Fig.9

crush_height_of_engine_bearings_fig.10.jpg

Fig.10

At OD/ID ratio equal or greater than 1.5 the stress parameters as well as the values of oil clearance are similar.

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Effect of Thermal Expansion and Wall Thickness

Engine bearings are made of steel-bronze or steel aluminum materials. However, effect of bronze or aluminum linings on the bearing thermal expansion is negligible. When temperature increases engine bearings expand according to the coefficient of thermal expansion of steel.
If the bearing housing is made of steel thermal effect on the press fit parameters and on the oil clearance is almost nil.
However, a bearing mounted in an aluminum housing is affected with heating.
Fig.11-13 depict thermal effect on press fit parameters for two bearings having different wall thickness 1.6 mm (0.063”) and 3 mm (0.118”). Crush height of the bearings was taken within the tolerance limits 0.100-0.137 mm (3.9-5.4 thou).
The input parameters of the calculations are presented in Table 2.

Table 2 Input Parameters

Housing material Bearing material Housing OD/ID Housing ID, mm/inch Shaft diameter, mm/inch Bearing thickness, mm/inch Bearing length, mm/inch Crush height, mm/inch
min. max. min. max. min. max. min. max.
Aluminum Tri-metal 1.5 50.135 / 1.9738 50.155 / 1.9746 46.958 / 1.8487 46.970 / 1.8492 1.588 / 0.0625 1.600 / 0.0630 15.0 / 0.591 0.100/0.0039 0.137/0.0054


Housing material Bearing material Housing OD/ID Housing ID, mm/inch Shaft diameter, mm/inch Bearing thickness, mm/inch Bearing length, mm/inch Crush height, mm/inch
min. max. min. max. min. max. min. max.
Aluminum Tri-metal 1.5 52.935 / 2.0841 52.955 / 2.0848 46.958 / 1.8487 46.970 / 1.8492 2.988 / 0.1176 3.000 / 0.1181 15.0 / 0.591 0.100/0.0039 0.137/0.0054


The bearing compression stress decreases by ~100 MPa/14,500 psi when the housing and bearing are heated from room temperature to 100 ⁰C/212 ⁰F (Fig.11).

crush_height_of_engine_bearings_fig.11.jpg

Fig.11

A bearing mounted in aluminum housing loses its press fit when heated. Contact pressure produced by the bearing with wall thickness 1.6 mm/0.063” is 13.5 MPa/2000 psi at room temperature, but it decreases to unacceptable level of 7 MPa/1000 psi at temperature 100 ⁰C/212 ⁰F (Fig.12).
More rigid bearing having wall thickness 3 mm/0.12” even heated to 100 ⁰C/212 ⁰F has minimum contact pressure 10 MPa/14,500 psi.

crush_height_of_engine_bearings_fig.12.jpg

Fig.12

Thermal expansion of aluminum housing causes the oil clearance to increase (Fig.13). Oil clearance produced by the bearing with wall thickness 3 mm/0.12” is greater by 15-17 µm/0.59-0.67 thou than that produced by the bearing with wall thickness 1.6 mm/0.063”.

crush_height_of_engine_bearings_fig.13.jpg

Fig.13

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Conclusions


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