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O, X and tandem arrangement

Overview

Summary

  • Applies to angular contact ball bearings and tapered roller bearings
  • O-arrangement: Only small misalignment of the bearings possible, wide support base
  • X-arrangement: Larger misalignment of the bearings possible, low support base
  • Tandem arrangement: Unlike the other two arrangements, bearings can support axial loads from only one direction
  • All arrangement types can be combined with each other

If you have already read the articles on angular contact ball bearings or tapered roller bearings, you may already have come into contact with different types of bearing arrangements. Specifically, these refer to the arrangement of the rolling elements in multi-row or matched bearings. There are three main types O, X and tandem arrangements.

The O, X and tandem arrangement is about how several bearings are arranged in relation to each other. If you look at the contact angles of the force application in the technical drawings and sketch them further in your mind, you will notice that they take on an O-shape in the O-arrangement and a surprise! – X-shape in the X arrangement. The tandem arrangement can be visualised insofar as the contact angles in the drawing work in the same direction. Also, the tandem bicycle can serve as a mnemonic. Before you read about specific characteristics, you should know that there are several names for the different arrangements.

Name Abbre­viation Descrip­tion
O arrangement DB Back to Back
X arrangement DF Face to Face
Tandem arrangement DT Tandem

In the text, only the designations O, X and tandem arrangement are used for simplicity. 

O arrangement

Let’s start with the O arrangement, the questions of what it can do and when you should use it. In the article on adjusted bearings, it was already mentioned that angular contact ball bearings and tapered roller bearings can beadjustedto form an O arrangement. This means that in addition to high radial loads, axial forces from both directions can also be accommodated. 

To explain when to use the O arrangement, the following example can be given: In an application, two 6212 deep groove ball bearings were previously used, but a more rigid support of the shaft is now required. What is the best way to proceed? In the sketch you can see two angular contact ball bearings. The value a must be used, which indicates the support span. For a 7212 angular contact ball bearing (30° contact angle) the value is a = 36 mm. For a 7212B angular contact ball bearing (40° contact angle) the value is a = 47,5 mm. In comparison, the previously used 6212 deep groove ball bearing only has a span of 11 mm (half the bearing width). If the two 6212 deep groove ball bearings are now replaced by angular contact ball bearings 7212B, this results in a considerably larger support span and consequently also a more rigid support of the shaft

The O arrangement using the example of two angular contact ball bearings.

In the following, the three temperature effects that exist in the O arrangement and the so-called rolling cone peak R will be discussed. The latter can be seen in the three case studies shown. 

If the rolling cone lines meet at their apexes, then the axial and radial thermal expansion balance out and the set clearance is maintained.
If the rolling cone lines overlap, the radial expansion has a greater effect on the bearing clearance than the axial thermal expansion. The set clearance becomes smaller.
If the rolling cone lines do not overlap, the axial thermal expansion has a greater effect on the bearing clearance than the radial expansion. The set clearance becomes larger.

OK, and what does that mean? The bearing has been designed and deflections, bending lines, gear corrections etc. have now been calculated. However, if the temperature effects have not been taken into account, the consequences can be serious. In the worst case, bearing damage can be the result. Should this occur in practice, it is advisable to contact the bearing manufacturer for support. 

In addition to single-row angular contact ball bearings, which can be arranged in an O arrangement, there are also double-row angular contact ball bearings, for example. These are supplied in an O arrangement and have a common outer ring and inner ring. The advantage of these double-row angular contact ball bearings is their width.

Double row angular contact ball bearing with seals (LLD).
Here you see a double-row tapered roller bearing in O arrangement.

A 7200B bearing (B = 40° contact angle), for example, has a width of 9mm, so the O arrangement thus has a bearing width of 18mm. The double-row angular contact ball bearing 5200S has an overall width of 14.3mm with the same bore and outer diameter and is thus narrower in design. However, the load ratings are lower compared to the single-row angular contact ball bearings, so a compromise must be found. In addition, there are also double-row tapered roller bearings.

X arrangement

Angular contact ball bearings as well as tapered roller bearings with rolling elements in X arrangement can support axial forces running in both directions in addition to high radial loads (just as with O arrangement). Bearings with an X arrangement have a smaller support span between the load application points compared to bearings with an O arrangement. The load directions therefore intersect on the shaft axis, which is why bearings in this arrangement have a lower moment rigidity. At the same time, the X arrangement has a lower tilting rigidity, which means that larger misalignments are possible. The use of such bearing arrangements is suitable, for example, in the case of shaft deflection or in the case of predominant radial force application between the bearing points.

Compared to bearings of the O-arrangement, the X-shaped structure can lead to higher misalignments of the rolling bearings.

What about the temperature effects here?

In contrast to the O arrangement, there is only one possibility here: A temperature difference between the inner ring and the outer ring leads to a reduction of the clearance or to an increase in the preload in the bearings. The extent to which these effects are critical for the bearing arrangement can be determined either from empirical values or through extensive and costly tests. In practice, costly tests can be avoided by asking the bearing manufacturer for advice.

X arrangement with tapered roller bearings.
Tandem arrangement

Sometimes a simple O or a simple X arrangement is not sufficient (for example due to low lifetime or rigidity).

Bearing of a CNC milling machine spindle.

In such cases, one adds one or two bearings to an O-arrangement (see illustration of the bearings of a CNC milling machine spindle). The two bearings on the left are in tandem. The bearing arrangement shown is therefore called a tandem O arrangement. In contrast to the “simple” O or X arrangements, such tandem arrangements can support a greater axial load in one direction (acting from left to right in the picture). This reduces the axial deflection compared to the simple O-arrangement.

With regard to temperature effects, the same rules apply as with the O and X arrangement.

The term tandem arrangement can serve you as a mnemonic, since both rolling elements lying next to each other point in the same direction.

For some applications (especially for bearings in machine tools), several bearings are needed toabsorbthe acting forces and to achieve the desired properties (service life, rigidity, etc). This is why you also come across various combinations of individual bearings. In order not to have to write long, almost complicated designations such as Tandem-O or Tandem-O-Tandem arrangement every time, the whole thing is abbreviated with initials (like with O and X arrangement).

No limits: All arrangement combinations are possible.

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Overview

Summary

  • Applies to angular contact ball bearings and tapered roller bearings
  • O-arrangement: Only small misalignment of the bearings possible, wide support base
  • X-arrangement: Larger misalignment of the bearings possible, low support base
  • Tandem arrangement: Unlike the other two arrangements, bearings can support axial loads from only one direction
  • All arrangement types can be combined with each other

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