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                                                                           H



Bearing Runout Measurements

Application Note 243-7



Introduction

Advanced precision machinery,
from centrifuges to computer disk
drives, rely on precision bearing
and spindle assemblies for high
performance. For example, the
spacing of data tracks on a com-
puter disk drive can be limited by
the non-repeatable runout of the
spindle bearing assembly. For
reasons like these, the need to
measure runout and diagnose its
cause has increased in recent
years.

Traditionally, runout has been
measured with the electronic
equivalent of a dial indicator and
oscilloscopes which can deter-
mine the magnitude of runout.
More recently, spectrum analyzers
have been used because they can
help identify the various causes of
runout by providing the frequency
distribution information, as well
as the data available from other
testing methods. Originally con-
fined to design labs, spectrum
analyzers are now finding their       This note explores the advantages
way into incoming inspection and      of using a dynamic signal analyzer
onto the manufacturing floor,         to make runout measurements,
where they are used to measure        using both the traditional time
changes in runout caused by           domain measurements as well
critical assembly steps.              as spectrum measurements.
                                      The measurements shown were
                                      made on a disk memory spindle
                                      assembly.
Test setup to                                                                            Time domain
measure runout                                                                           measurements
                                                                                         of repeatable and
                                                                                         nonrepeatable runout

Figure 1:
                                                                                         In the time domain mode, the
Experimental                                                                             analyzer shows Total Indicated
runout test                                                                              Runout (TIR) as it changes with
set up
                                                                                         the revolution of the spindle. TIR
                                                                                         has two components. Repeatable
                                                                                         runout, the largest component
                                                                                         (up to 2 mils in this case), is
                                                                                         caused by the center of rotation
                                                                                         being offset from the physical
                                                                                         center of the part, as well as
                                                                                         surface irregularities on the hub.
                                                                                         The runout component of interest
                                                                                         is the nonrepeatable part, which
                                                                                         can be 1000 (60 dB) smaller than
                                                                                         the repeatable runout. In preci-
                                                                                         sion machinery, NRR is caused
                                                                                         largely by imperfections in the
Figure 1 shows a typical test                 that is proportional to the air gap        bearings.
setup to measure spindle runout.              between the hub and the probe.
The motor and spindle assembly                This signal is fed into a dynamic          Repeatable runout in the spindle
is typically loaded with an inertial          signal analyzer, where it is digi-         assembly is not a great concern
mass to simulate actual running               tized into an amplitude vs. time           because it is the same for every
loads. A proper load is often                 record.                                    revolution and can be compen-
required for the spindle servo                                                           sated for. For example, a disk
to maintain a constant speed.                 A once-per-revolution tach pulse           drive writes a servo track that is
                                              (INDEX) is needed from the                 concentric with the center of rota-
The runout in this example is                 spindle assembly to drive the              tion. The non-repeatable runout
measured by placing a proximity               external trigger input on the              (NRR) can not be compensated
probe close to the hub at the end             analyzer. This ensures that data           for and therefore is the precision
of the spindle. The probe, with               collection starts at the same angle        limit for the spindle bearing as-
its electronics, produces a signal            of rotation for each average.              sembly. In the case of a computer
                                                                                         disk drive, the goal is to maintain
                                                                                         a peak-to-peak NRR less than 5%
                                                                                         of the spacing between the tracks.
                                                                                         In a disk with 1000 tracks-per-
                                                                                         inch, a NRR of <20 microinches
Figure 2:         MEASUREMENT PAUSED                                                     peak-to-peak is desirable.
Total indicated            A Marker    X:   3.87573242 ms    Y: 97.537   uINCH
runout for two       200
                   uINCH
                                                                                         Figure 2 shows a single TIR
revolutions
of the hub.
                                                                                         measurement made with a
The fuzziness       Real
                                                                                         dynamic signal analyzer. Since
indicates the         50                                                                 the spindle speed is 60 Hz
non-repeatable     uINCH
runout.
                    /div                                                                 (3,600 RPM), the time period
                                                                                         for each revolution is 16.7 milli-
                                                                                         seconds. The time record length
                                                                                         shown in the figure is just over
                                                                                         31 milliseconds, thus showing
                                                                                         almost two complete revolutions
                    -200
                   uINCH
                                                                                         of runout.
                           Start:     0 s                          Stop:   31.219   ms
                           TIR




                                                                                         2
    Determining non-repeatable
    runout with Dynamic
    Signal Analyzers


    NRR can be computed by sub-           Figure 3:           MEASUREMENT PAUSED
    tracting repeatable runout from       Repeatable                   A Marker   X:   3.87573242 ms   Y: 58.409 e-6 INCH
                                          runout is              200
    a single TIR measurement. The                                e-6
                                          obtained by using     INCH
    repeatable runout is measured         Vector/Time
    by time averaging many TIR            Averaging to          Real
    measurements together. The            average out the         50
                                          non-repeatable         e-6
    nonrepeatable parts of the TIR        contribution to
                                                                INCH
                                                                /div
    are averaged out. This method is      runout.
    more precise than drawing limit
    lines on an oscilloscope or eyeing
    peak-to-peak fuzziness of many
    TIR measurements superimposed
                                                                -200
    on each other.                                               e-6
                                                                       Start: 0 s                            Stop:   31.219 ms
                                                                       REPEATABLE RUNOUT                             VECTOR: 64
    To determine the repeatable
    runout, time records used in the
                                          Figure 4:           MEASUREMENT PAUSED
    average must be synchronized;
                                          Non-repeatable               A Marker   X:   3.87573242 ms   Y: 29.128 e-6 INCH
    data collection for each time         runout is the          200
                                                                 e-6
    record must start at the same         difference            INCH
    angular location on the spindle.      between a TIR
                                          measurement           Real
    To do this, an external trigger is    and the                 50
    used to start data collection for     repeatable             e-6
                                                                INCH
    each time record at the same          runout.               /div

    angle of rotation on the disk
    spindle. The average smooths out
    and converges on the repeatable
    runout (figure 3). For vector aver-
    aging to work properly, the speed                           -200
    of the spindle should be regulated                           e-6
                                                                       Start: 0 s                            Stop:   31.219   ms
    within 1% or better1.                                              NON REPEATABLE RUNOUT



    Next, capture a new time record
    of TIR. Subtract the repeatable       Unfortunately, this time domain
    runout from the total runout. The     approach can not be used to diag-
    difference is the NRR versus time.    nose the causes of NRR because
    This subtraction removes all re-      the result is simply a display
    peatable eccentricities and sur-      of amplitude versus time. A
    face runout effects (figure 4).       different measurement method
                                          is needed to break NRR into
    The results of such testing are       components that can be related
    evaluated by looking for the          to bearing defects.
    peak-to-peak NRR. The one sigma
    variance or repeatability of the
    NRR versus time measurement
    is typically 20-50%.




1
    Computed order tracking can handle
    conditions or speed regulation.




                                                                                         3
Frequency domain
measurements of
synchronous and
asynchronous runout

The next step in runout testing is     Figure 5:               MEASUREMENT PAUSED
to use a spectrum analyzer to look     Synchronous                         B Marker   X:    131 Hz                   Y: 5.6465 u*
at the different components of         runout is                       1
                                                                      m*
                                       measured
runout. When runout is displayed       by using
as amplitude versus frequency, the     Vector/Time             LogMag
runout contributions from varia-       Averaging.                  10
                                       Note the                    dB
tions on the inner race, outer race,   markers set
                                                                 /div
and rolling elements stand out as      at 60 Hz and
separate spectral components           its harmonics.
(figures 5 & 6). Variation analysis
becomes more quantitative and
less guesswork. This approach of
measuring runout in the frequency                                    100
                                                                           THD: 44.173 %
                                                                     e-9
domain is referred to as synchro-                                          Start: 0 Hz                                             Stop: 400 Hz
                                                                           S: Spectrum Chan 1                                         VECTOR: 64
nous and asynchronous runout,
differentiating it from the time
domain measurements of repeat-         Figure 6:               MEASUREMENT PAUSED

able runout and NRR.                   Total runout is                     B Marker   X:    131 Hz                   Y: 19.966 u*
                                       measured using                  1
                                                                      m*                                                          * = INCH rms
                                       rms averaging.
Synchronous runout is the spec-        Notice the noise
trum of the repeatable runout,         floor is higher         LogMag
                                       and the                     10
which is the result of vector aver-    amplitude of                dB
                                                                 /div
aging many TIR measurements.           the 131 Hz
Figure 5, the synchronous runout       component is
                                       greater, than
spectrum, contains runout compo-       adjacent
nents that are due to the hub ec-      harmonics
centricity, hub finish and any         of 60 Hz.
other repeatable bearing runout.
                                                                     100
The off-synchronous runout com-                                      e-9   THD: 48.444 %
                                                                           Start: 0 Hz
ponents reduce in amplitude at a                                                                                                   Stop:    400 Hz
                                                                           S: TOTAL RUNOUT                                                 RMS: 64
rate of 1 k where k is the number
of averages. So 64 averages will
attenuate the asynchronous con-        Table 1:
tributions by a factor of eight.       Bearing
                                       Characteristic
                                       Frequencies
Figure 6 shows a spectrum of to-
tal or average runout, measured        Defect on outer race                                (n) (RPM) (1 - Bd cos 



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