U.S. patent application number 11/227040 was filed with the patent office on 2006-01-12 for monitoring and correcting for non-translational motion in a resonance measurement apparatus.
Invention is credited to Harald F. Hess, Patrick Rodney Lee.
Application Number | 20060009930 11/227040 |
Document ID | / |
Family ID | 31886367 |
Filed Date | 2006-01-12 |
United States Patent
Application |
20060009930 |
Kind Code |
A1 |
Hess; Harald F. ; et
al. |
January 12, 2006 |
Monitoring and correcting for non-translational motion in a
resonance measurement apparatus
Abstract
A system and method for assessing and potentially correcting for
non-translational motion in a resonance measurement apparatus is
provided. The design measures the response of an article, such as
an HGA assembly including a read/write head, as well as the
excitation of a shaking device, such as a head resonance tester,
and computes a correction factor using either two or three point
measurement. The correction factor may be evaluated by subjecting
the arrangement to further vibration at varying frequencies.
Measurement of the shaking device may be accomplished using an
accelerometer or by optical measurement using a light beam.
Inventors: |
Hess; Harald F.; (La Jolla,
CA) ; Lee; Patrick Rodney; (San Diego, CA) |
Correspondence
Address: |
SMYRSKI LAW GROUP, A PROFESSIONAL CORPORATION
3310 AIRPORT AVENUE, SW
SANTA MONICA
CA
90405
US
|
Family ID: |
31886367 |
Appl. No.: |
11/227040 |
Filed: |
September 14, 2005 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
|
|
10163172 |
Jun 4, 2002 |
6947852 |
|
|
11227040 |
Sep 14, 2005 |
|
|
|
Current U.S.
Class: |
702/56 ; 702/105;
G9B/19.013 |
Current CPC
Class: |
G11B 19/048 20130101;
G01M 7/00 20130101 |
Class at
Publication: |
702/056 ;
702/105 |
International
Class: |
G01H 1/04 20060101
G01H001/04; G01L 25/00 20060101 G01L025/00 |
Claims
1. A method for providing an enhanced response representation for
an article mounted to a shaker device, comprising: measuring an
article response quantity at the apparatus; determining a shaker
excitation quantity at the shaker device; computing a correction
factor geometrically relating the shaker excitation quantity to the
article response quantity; and determining the response
representation based on applying the correction factor to raw
shaker and article data.
2. The method of claim 1, wherein the article comprises an HGA
comprising a head and suspension element, and the shaking device
comprises a head resonance tester.
3. The method of claim 1, wherein said shaker excitation quantity
measurement employs an accelerometer to measure acceleration of the
shaker device.
4. The method of claim 1, further comprising revising the response
representation based on expected response of the article at a
particular frequency.
5. The method of claim 1, wherein said shaker excitation quantity
determining comprises measuring velocity excitation of the shaker
at a plurality of points on the shaker device.
6. The method of claim 5, wherein the plurality of points comprises
two points on the shaker device.
7. The method of claim 5, wherein the plurality of points comprises
three points on the shaker device.
8. The method of claim 5, wherein a light energy beam is employed
to measure excitation velocity.
9. The method of claim 1, wherein response representation
determining comprises applying the correction factor to determine a
transfer function representing a frequency response at the
article.
10. A system for determining an excitation representation of a
shaking device having an article attached thereto, comprising: an
article response measurement device for measuring the article
response when shaken at at least one shaking frequency; a shaking
device excitation measurement apparatus for measuring the shaking
device excitation when shaken at at least one shaking frequency; a
computing device for computing a correction factor based on the
shaking device excitation relative to the article response and
applying the correction factor to received article response and
shaking device excitation.
11. The system of claim 10, wherein the article response
measurement device comprises a light energy emitter and sensor.
12. The system of claim 11, wherein the shaking device excitation
measurement apparatus comprises an accelerometer.
13. The system of claim 11, wherein the shaking device excitation
measurement apparatus comprises the light energy emitter and
sensor.
14. The system of claim 10, wherein the correction factor is based
on a geometric relationship between the shaking device and the
article.
15. The system of claim 10, wherein the article response measuring
device measures article velocity and the shaking device excitation
measurement apparatus measures acceleration of the shaking
device.
16. The system of claim 10, wherein the article response measuring
device measures article velocity and the shaking device excitation
measurement apparatus measures translation velocity of the shaking
device.
17. The system of claim 10, wherein the shaking device measurement
excitation apparatus measures responses for multiple points on the
shaking device.
18. A method for determining resonance behavior of a component
affixed to a resonance inducing device, comprising: identifying
component resonance behavior for a location on the component for at
least one frequency; determining resonance inducing device
excitation behavior for at least one location on the resonance
inducing device for at least one frequency; computing a correction
factor based on the component resonance behavior and the resonance
inducing device excitation behavior at varying frequencies, said
correction factor geometrically relating the component and the
resonance inducing device; and applying the correction factor to
data received for the component and the resonance inducing
device.
19. The method of claim 18, wherein the component comprises an HGA
comprising a head and suspension element, and the resonance
inducing device comprises a head resonance tester.
20. The method of claim 18, wherein said resonance inducing device
resonance behavior determination employs an accelerometer to
measure acceleration of the resonance inducing device.
21. The method of claim 18, further comprising: determining a
response representation based on applying the correction factor to
data received for the component and the resonance inducing device;
and revising the excitation representation based on expected
response of the component at a particular frequency.
22. The method of claim 18, wherein said resonance inducing device
excitation behavior determination comprises measuring excitation
velocity of the resonance inducing device at a plurality of
locations on the resonance inducing device.
23. The method of claim 22, wherein the plurality of points
comprises two points on the resonance inducing device.
24. The method of claim 22, wherein the plurality of points
comprises three points on the resonance inducing device.
25. The method of claim 22, wherein a light energy beam is employed
to measure excitation velocity.
26. The method of claim 18, further comprising: determining a
response representation based on applying the correction factor to
data received for the component and the resonance inducing device;
and wherein response representation determining comprises applying
the correction factor to determine a transfer function representing
a frequency response at the component.
27. A method for compensating for non-translational motion of a
component, comprising: determining component frequency responses of
the component at varying frequencies; determining motion device
frequency excitations of a motion device employed to shake the
component, said determining occurring at varying frequencies;
computing a correction factor based on the component frequency
response and the motion device frequency excitation; and applying
motion to the component and evaluating the quality of the
correction factor by applying the correction factor to data from
the component and the motion device.
28. The method of claim 27, wherein said component comprises an HGA
comprising a head and suspension element, and the motion device
comprises a head resonance tester.
29. The method of claim 27, wherein said motion device frequency
excitation determination employs an accelerometer to measure
acceleration of the motion device.
30. The method of claim 27, further comprising: determining a
response representation based on applying the correction factor to
data received for the component and the motion device; and
reevaluating the response representation based on expected response
of the component at a particular frequency.
31. The method of claim 27, wherein said motion device frequency
excitation determination comprises measuring excitation velocity of
the motion device at a plurality of locations on the motion
device.
32. The method of claim 31, wherein the plurality of points
comprises two points on the motion device.
33. The method of claim 31, wherein the plurality of points
comprises three points on the motion device.
34. The method of claim 31, wherein a light energy beam is employed
to measure excitation velocity.
35. The method of claim 27, further comprising: determining a
response representation based on applying the correction factor to
data received for the component and the motion device; and wherein
response representation determining comprises applying the
correction factor to determine a transfer function representing a
frequency response at the component.
Description
BACKGROUND OF THE INVENTION
[0001] 1. Field of the Invention
[0002] The present invention relates generally to the field of
resonance compensation, and more specifically to compensating for
hard disk drive head suspension mechanical resonance effects, such
as torsion and sway.
[0003] 2. Description of the Related Art
[0004] Disk drives are magnetic recording devices used for the
storage of digital information. Digital information is recorded on
substantially-concentric tracks on either surface of one or more
magnetic recording disks. Disks are rotatably mounted on a spindle
motor, and read/write heads mounted to actuator arms access
information on the disks, with the heads rotated by a voice coil
motor (VCM). The voice coil motor rotates the pivoting arms, or
suspensions, and moves the heads radially over the surface of the
disk or disks. The read/write heads must generally be accurately
positioned on the disk to ensure proper reading and writing of
information that will define the data storage tracks. After the
system writes the servo patterns on the disks, each disk can be
added to a hard drive assembly.
[0005] The information contained in servo and data tracks on the
disk surface must be written in a precise manner. In a typical
configuration, one or more data heads are employed and are
connected to a rotatable base via a suspension, or arm, that has
particular mechanical characteristics. The resonance behavior of
the arm is highly determinative of the accuracy of data written and
read by the head, as significant resonance in the arm or suspension
can significantly disturb head positions
[0006] Testing of disk drive suspension mechanical resonance
characteristics requires devices such as a Head Resonance Tester,
or HRT, to excite various resonance modes on the combined
suspension and head assembly by shaking the assembly. The HRT, or
shaker, may excite resonance modes within certain ranges, including
but not limited to 1 KHz to 40 KHz. If the head is mounted onto the
suspension and centered along a suspension axis, the HRT may shake
the suspension and head arrangement in a line perpendicular to the
suspension axis, which may be called the Z axis. In essence, the
base of the suspension is fixed and shaken in a direction
perpendicular thereto, such as the arrangement shown in FIG. 6.
Loaded HRT 601 includes accelerometer 401, shaker block 402,
suspension 404, and head 403. The amplitude of the HRT excitation
in the arrangement shown may be measured by the accelerometer
401.
[0007] For the arrangement shown in FIG. 5, when the direction of
acceleration does not remain well aligned in the Z direction, the
accuracy of the resonance curve generated by the accelerometer may
be compromised. Such misalignment can result from resonance modes
in the HRT, which can be very difficult to prevent over large
frequency ranges. Further, the interaction between the suspension
and the HRT, specifically the action of the suspension resonance on
the shaker block, can also cause the suspension to torque and move
in directions other than the Z direction in the arrangement shown.
The additional movement is not measured by the accelerometer but is
a component describing the rotational motion of the shaker block
402. These spurious motions, sometimes referred to as shaker modes,
provide an additional non-characterized excitation to the
suspension and head and thereby limit the accuracy and usefulness
of resonance measurements.
[0008] It would be beneficial to have a system that overcomes the
shortcomings of previous designs and provides a more accurate
assessment and correction of resonance curves for a mechanical
arrangement, such as a drive head and suspension combination.
SUMMARY OF THE INVENTION
[0009] According to the present invention, there is provided a
system and method for assessing and potentially correcting for
non-translational motion in a resonance measurement apparatus. The
design measures the response of an article, such as an HGA assembly
including a read/write head, as well as a more complete
characterization of the excitation of a shaking device, such as a
head resonance tester, and computes a correction factor using
either two or three point measurement. The correction factor
generally geometrically relates the measurement at the shaking
device and translates it into an excitation measurement at the
article, such as the head of the HGA. The correction factor may be
evaluated by subjecting the arrangement to further vibration at
varying frequencies and assessing the response. Measurement of the
shaking device may be accomplished using an accelerometer or by
optical measurement using a light beam. Measurement of the article
is performed using a light beam, which may be a light beam
generated in the same manner as that used to measure the response
of the shaking device.
[0010] According to one aspect of the present invention, there is
provided a method for providing an enhanced response representation
for an article mounted to a shaker device. The method comprises
measuring an article response quantity at the apparatus,
determining a shaker excitation quantity at the shaker device,
computing a correction factor geometrically relating the shaker
excitation quantity to the article response quantity, and
determining the response representation based on applying the
correction factor to raw shaker and article data.
[0011] According to a second aspect of the present invention, there
is provided a system for determining a excitation representation of
a shaking device having an article attached thereto. The system
comprises an article response measurement device for measuring the
article response when shaken at at least one shaking frequency. The
system also comprises a shaking device excitation measurement
apparatus for measuring the shaking device excitation when shaken
at at least one shaking frequency. The system further comprises a
computing device for computing a correction factor based on the
shaking device excitation relative to the article response and
applying the correction factor to received article and shaking
device excitation.
[0012] According to a third aspect of the invention, there is
provided a method for determining resonance behavior of a component
affixed to a resonance inducing device. The method comprises
identifying component resonance behavior for a location on the
component for at least one frequency, determining resonance
inducing device excitation behavior for at least one location on
the resonance inducing device for at least one frequency, computing
a correction factor based on the component resonance behavior and
the resonance inducing device excitation behavior at varying
frequencies, said correction factor geometrically relating the
component and the resonance inducing device, and applying the
correction factor to data received for the component and the
resonance inducing device.
[0013] According to a further aspect of the present invention,
there is provided a method for compensating for non-translational
motion of a component. The method comprises determining component
frequency responses of the component at varying frequencies,
determining motion device frequency excitation of a motion device
employed to shake the component. The determining occurs at varying
frequencies. The method further comprises computing a correction
factor based on the component frequency response and the motion
device frequency excitation and applying motion to the component
and evaluating the quality of the correction factor by applying the
correction factor to data from the component and the motion
device.
[0014] These and other objects and advantages of the present
invention will become apparent to those skilled in the art from the
following detailed description of the invention and the
accompanying drawings.
DESCRIPTION OF THE DRAWINGS
[0015] FIG. 1 illustrates a suspension and head, also called an
HGA, that may be employed with the current invention;
[0016] FIG. 2 illustrates a shaker device used with a disk and
spindle arrangement in accordance with the current invention;
[0017] FIG. 3 presents a multiple HGA arrangement that may be
utilized in accordance with one aspect of the current
invention;
[0018] FIG. 4 illustrates a shaker device, accelerometer, and an
article such as a suspension and head (HGA) used in one aspect of
the current invention encountering ideal shaker motion;
[0019] FIG. 5 is a shaker device, accelerometer, and an article
such as a suspension and head (HGA) used in one aspect of the
current invention encountering non-ideal shaker motion;
[0020] FIG. 6 is a top view of the interferometer arrangement used
in accordance with one aspect of the current invention and
measuring a point on the head;
[0021] FIG. 7 shows a top view of the interferometer arrangement
used in accordance with one aspect of the invention and measuring a
point on the shaker block;
[0022] FIG. 8 illustrates a perspective view of one interferometer
arrangement that may be employed with the invention disclosed
herein;
[0023] FIG. 9 is a view of three point correction geometry;
[0024] FIG. 10 illustrates two point correction geometry; and
[0025] FIG. 11 presents possible configurations used for three
point correction.
DETAILED DESCRIPTION OF THE INVENTION
[0026] The present system addresses resonance effects encountered
when testing a suspension arrangement, which may comprise resonance
effects associated with a single head on a disk drive suspension or
multiple heads on a multiple-arm positioner depending on the
application. The system and inventive aspects discussed herein may
be employed in other shaking devices but are described with
specific reference to head/suspension arm aspects.
[0027] The present disclosure will briefly describe the design
wherein the head/suspension arrangement may be ultimately employed,
followed by a detailed description of the resonance effect
correction design.
[0028] The novel design presented herein may be used in association
with a media reading/writing device, such as a HDD. The method and
apparatus disclosed may be used in association with other devices
including a drive head and support configuration while still in the
scope of the present invention.
[0029] One such design with which the present method and apparatus
may be used includes a single head and associated suspension
arrangement as presented in FIG. 1, or alternately in a multiple
head and multi-arm positioner arrangement as presented in FIG. 3.
FIG. 2 illustrates a disk arrangement wherein a rotatable spindle
201 maintains the disk and is typically rotated by a motor (not
shown). The rotating spindle may maintain a plurality of media
disks, or may maintain a single disk or virtually any number of
disks. In the configuration shown, one disk is employed and is
secured by locking cap 202.
[0030] FIG. 3 presents a positioner 301 used to maintain a series
of heads 303(a) through (n), typically individual read/write heads
that perform both reading and writing functions, where each head
flies over the surface of media, which are typically hard
disks.
[0031] FIG. 4 illustrates a suspension and head arrangement
subjected to shaking motion, with the arrows indicating an even
movement of the shaker block. FIG. 5 illustrates a suspension and
head arrangement subjected to uneven movement of the shaker block
in the Z direction. In this view, the lower portion of the shaker
block moves in a distance greater than the upper portion, inducing
torque in the suspension and providing inexact resonance response
recorded by accelerometer 401.
[0032] In the arrangement shown in FIGS. 4 and 5, shaker excitation
amplitude is measured with the accelerometer 401, providing the
acceleration of the shaker, suspension, and head measured at the
base of the suspension as a function of time (a(t)). At the same
time, the system has the ability to measure the response of the
head at the remote end of the suspension using a laser
interferometer (not shown). If the velocity of the head is v(t),
the acceleration measured at the base of the suspension and the
velocity of the head may be converted into Fourier representations
a(.omega.) and v(.omega.), where .omega. is the frequency of the
sinusoidal excitation and a(.omega.) v(.omega.) are the complex
acceleration and velocity values at the frequency .omega.. The
resonance gain of the suspension is: G .function. ( .omega. ) = 20
.times. Log .times. .omega. .times. .times. V .function. ( .omega.
) A .function. ( .omega. ) ( 1 ) ##EQU1##
[0033] This resonance gain is nonzero when the suspension flexes
from resonance modes such as torsion and sway.
[0034] FIG. 6 illustrates a top view of the overall system 601
including the laser interferometer 606 used to measure velocity
and/or acceleration at the head 403. The system illustrated also
includes the motor 604 and a prism 605 used for vertical beam
alignment. FIG. 7 illustrates a top view of the overall system
where the system and the laser beam 603 have been repositioned to
enable measurement of the shaker block 402 rather than the head
403. The interferometer 606 positions a laser beam to a point, such
as the tip of the head 403, which is reflected back to the system,
and the returning light wave and delay thereof provides the amount
of movement of the head over a fixed time period. Accelerometer
401, shaker block 402, and head 403 are as shown in FIGS. 6 and 7.
As shown in FIG. 2, disk 602 may be located proximate the head. As
shown in FIG. 8, interferometer device 800 includes laser 801,
motor 802, and prism 803 used for vertical alignment. The
arrangement is mounted on translation stage 804. When the
measurement of the shaker block or shaker device 402 is desired,
the laser beam 603 is translated horizontally to the position shown
in FIG. 7.
[0035] The shaker block 402 has typically been assumed to be a
rigid body. In assuming that the shaker block 402 is a rigid body,
it is further assumed that movement of a point on the shaker block
402 defines a local translational movement of the shaker block.
Further, movement of multiple points on the face of the shaker
block 402 provides greater knowledge of the movement of any point
on the block. Movement of the block in the arrangement shown tends
to induce non-translational motion in the HGA and/or head 403
attached to the shaker block 402 that is unrelated to the naturally
occurring resonance modes inherent in the HGA. These aberrant
non-translational motions have been observed to consist of mainly
two rotations. From FIG. 9, theoretical shaker block 402 is
centered at known point C, while head 403 is located at a distance
therefrom. The distance from the center of the shaker block to the
head is Ly in the y direction and L.sub.x in the x direction. Off
axis motions have generally been observed in two rotational
aspects, namely an up-and-down rotation having a rotational
velocity w.sub.x and a left-and-right rotation (having a rotational
velocity w.sub.y. The positive orientation of x and y and the
rotational velocities w.sub.x and w.sub.y are as shown in FIG.
9.
[0036] A device such as a shaker has six degrees of freedom. The
present design addresses non-translational motion in part by
essentially ignoring translation effects in X and Y directions, and
rotation about the Z axis, as measurable resonance gain from
excitation in these directions is essentially zero in the
arrangement presented. The remaining three degrees of freedom,
which are translation in the Z direction and rotation about the X
axis (w.sub.x) and Y axis (w.sub.y), dominate coupling to the main
resonance modes of the suspension in the arrangement
illustrated.
[0037] Data in the foregoing design, such as that shown in FIGS. 4
and 5, may be measured and received in various forms. One form in
which data may be received is in terms of a transfer function,
representing the ratio of the response to the excitation, or the
ratio of the head motion to the motion of the base): Transfer
.times. .times. function = V H V T ( 2 ) ##EQU2## where V.sub.H
represents the velocity at the head and V.sub.T is the velocity at
the base. If these quantities are decomposed into their Fourier
frequency components, the transfer function can be written as:
Transfer .times. .times. function = V H .function. ( .omega. ) V T
.function. ( .omega. ) ( 3 ) ##EQU3## The velocity V.sub.T of the
base can be deduced from the acceleration A.sub.C of the base, i.e.
V T = A c .function. ( .omega. ) j.omega. ( 4 ) ##EQU4## where j=
{square root over (-1)}. Using this, the transfer function can be
written as: Transfer .times. .times. function = j.omega. .times.
.times. V H .function. ( .omega. ) A c .function. ( .omega. ) ( 5 )
##EQU5## The transfer function may be determined by two
measurements, namely the velocity of the head measured by a laser
interferometer and the acceleration of the base measured by an
accelerometer.
[0038] The transfer function is defined in terms of frequency, and
is measured after subjecting the hardware to vibration to various
frequencies and taking measurements therefrom. For example, the
arrangement of FIG. 4 may be exposed to a low frequency vibration.
The acceleration at the accelerometer 401 and velocity of the head
403 is measured and saved. Vibration may be halted and subsequently
continued, or may not be halted and simply continued. The
continuation of vibration may be at a second frequency, wherein
measurements are again taken. This frequency changing and
measurement continues through the range of available frequencies.
As noted, the problem with these measurements is the inability to
know a more complete description of the excitation of the base, in
particular its rotational motion.
[0039] Correction of the head response transfer function based on
knowledge of input motion is made in the present system in one of
two general manners, namely three point correction or two point
correction. Three point correction is employed in the situation
where two rotations are considered added to the main translation.
Two point correction considers only one rotation to the main
translation. The type of processing available and the types of
modes observed during shaking, as well as the construction of the
shaking device and the suspension/head are factors considered in
determining whether to apply two or three point correction.
[0040] Three point correction is illustrated in FIG. 9. Head 403 is
adjoined to suspension 902, with shaker block 402 having a center
point 904. The distance from the head to the center of the shaker
device is L.sub.x and L.sub.y. Various points on the shaker block
may be chosen for measurement purposes, but the present arrangement
employs measurement points 905, 906, and 907, with the distance
between measurement points 905 and 906/907 equal to L.sub.2 and the
distance between points 905/906 and 907 equal to L.sub.3. The
velocity in the Z direction (i.e. perpendicular to the plane of
FIG. 9) at each of these points with respect to center point 904
are as follows:
V.sub.1=V.sub.T-w.sub.y(.sup.L.sup.2/.sub.2)-w.sub.x(.sup.L.sup.3/.sub.2)
V.sub.2=V.sub.T-w.sub.y(.sup.L.sup.2/.sub.2)+w.sub.x(.sup.L.sup.3/.sub.2-
)
V.sub.3=V.sub.T+w.sub.y(.sup.L.sup.2/.sub.2)+w.sub.x(.sup.L.sup.3/.sub.-
2) (6) [0041] where V.sub.T is the translational velocity in the Z
direction. V.sub.1 is the velocity at point 905, V.sub.2 is the
velocity at 906, and V.sub.3 is the velocity at 907. Solving for
the translational velocity and the two rotational velocities, V T =
V 1 + V 3 2 .times. .times. w x = V 3 - V 2 L 3 .times. .times. w y
= V 2 - V 1 L 2 ( 7 ) ##EQU6## [0042] Velocity at the head 403 is:
V.sub.H=V.sub.T-w.sub.y(Lx)-w.sub.x(L.sub.y) (8)
[0043] Replacing w.sub.x and w.sub.y by the associated velocity
differences divided by lengths, and writing the resultant equation
in terms of transfer functions provides: V H = V T .function. ( 1 +
( 2 .times. Lx L 2 ) .times. j.omega. .times. .times. V 1 Ac -
j.omega. .times. .times. V 2 Ac j.omega. .times. .times. V 1 Ac +
j.omega. .times. .times. V 3 Ac + ( 2 .times. L Y L 3 ) .times.
j.omega. .times. .times. V 2 Ac - j.omega. .times. .times. V 3 Ac
j.omega. .times. .times. V 1 Ac + j.omega. .times. .times. V 3 Ac )
( 9 ) ##EQU7## where A.sub.C is the acceleration measured by the
accelerometer 401. For any i in the set 1, 2, 3, . . . , H, the
i.sup.th transfer function can be denoted by: Ci = j.omega. .times.
.times. Vi Ac ( 10 ) ##EQU8## Using Equation 10, Equation 9 may be
re-written as: V H = V T .function. ( 1 + ( 2 .times. L x L 2 )
.times. C 1 - C 2 C 1 + C 3 + ( 2 .times. L y L 3 ) .times. C 2 - C
3 C 1 + C 3 ) ( 11 ) ##EQU9## For a V.sub.Hm representing the
velocity measured by the laser and A.sub.C the acceleration
measured at the accelerometer, setting A H = j.omega. .times.
.times. V H , j.omega. .times. .times. V T = Ac , j.omega. .times.
.times. V Hm Ac = C H , ##EQU10## the resultant transfer function
relating the velocity measured by the laser at the head to the
geometrically implied acceleration at the head is: j.omega. .times.
.times. V Hm A H = C H .times. 1 ( 1 + ( 2 .times. L X L 2 )
.times. C 1 - C 2 C 1 + C 3 + ( 2 .times. L Y L 3 ) .times. C 2 - C
3 C 1 + C 3 ) ( 12 ) ##EQU11## The value on the left side of
Equation 12 is referred to as the corrected transfer function.
[0044] If the top middle point of the shaker block is used for the
third measurement as shown in FIG. 11, the corrected transfer
function becomes: j.omega. .times. .times. V Hm A H = C H .times. 1
( 1 + ( 4 .times. L X L 2 ) .times. C 1 - C 2 2 .times. C 3 + C 1 +
C 2 + ( 2 .times. L Y L 3 ) .times. C 1 + C 2 - 2 .times. C 3 2
.times. C 3 + C 1 + C 2 ) ( 13 ) ##EQU12##
[0045] From Equation (12) or (13), the measured transfer function
called C.sub.H in Equation (12) and (13), is multiplied by a
correction factor to determine the corrected transfer function. Two
point correction is illustrated in FIG. 10. Measurement points 1001
and 1002 are collinear with the head 403 and center point 904.
w.sub.x in this configuration has no effect at the head 403 since
the distance from the head 403 to the X axis is zero. The relevant
rotational velocity is thus designated by w. Translational velocity
at points 1001 and 1002 are:
V.sub.1=V.sub.T+w.times.(.sup.L/.sub.2)
V.sub.2=V.sub.T-w.times.(.sup.L.sub.2) (14) where V.sub.1 is the
velocity at point 1001, V.sub.2 is the velocity at 1002, and
V.sub.T is the translational velocity in the Z direction (i.e.
perpendicular to the plane of FIG. 10).
[0046] Solving and using the previous calculations, the corrected
transfer function relating velocity measured by the laser at the
head to the geometrically implied acceleration at the head is:
j.omega. .times. .times. V Hm A H = C H .times. 1 ( 1 + ( 2 .times.
L H L ) .times. C 1 - C 2 C 1 + C 2 ) ( 15 ) ##EQU13##
[0047] This is denoted as the corrected transfer function for two
point correction. Again, C.sub.H represents the measured transfer
function relating V.sub.Hm, the velocity of the head measured by
the laser, and Ac, the acceleration measured at the accelerometer,
equal to j.omega. .times. .times. V Hm Ac . ##EQU14## The value to
the right of C.sub.H in the equation above represents the
correction factor which when multiplied by C.sub.H yields the
corrected transfer function.
[0048] The foregoing two and three point correction values relate
to the gain G(.omega.) in the following manner. Corrected
acceleration is described by the foregoing correction factors. For
example, in two point correction, the term ( 1 + ( 2 .times. L H L
) .times. C 1 - C 2 C 1 + C 2 ) ##EQU15## may be multiplied by the
measured acceleration at the accelerometer to produce the
geometrically implied acceleration at the head, A H .function. (
.omega. ) = A C .function. ( .omega. ) .times. ( 1 + ( 2 .times. L
H L ) .times. C 1 - C 2 C 1 + C 2 ) ( 16 ) ##EQU16##
[0049] The aforementioned term describes the extra acceleration
contributed by a combination of the lever arm 905 to the head 403
and the twisting of the shaker plane. The term is equal to one if
no tilting exists.
[0050] If this term is reasonably constant on repetition of the
measurement, it may be stored and used to compute a corrected
suspension gain G.sub.c(.omega.): G C .function. ( .omega. ) = 20
.times. Log .times. .omega. .times. .times. V Hm .function. (
.omega. ) A H .function. ( .omega. ) ( 17 ) ##EQU17##
[0051] Hence corrected gain G.sub.c is a function of the frequency,
velocity at the head, and the geometrically implied acceleration at
the head, and either the two point or three point correction factor
or geometric values outlined above.
[0052] In operation, the arrangement of FIGS. 6 and 7 is subjected
to vibration across various frequencies. Both the accelerometer 401
and the laser take initial readings for acceleration at the
accelerometer 401 and velocity at the head 403, respectively. Based
on these initial readings, the system determines the foregoing two
point and/or three point correction factors. These correction
factors may then be evaluated for adequate performance, such as
subjecting the head and suspension combination to further
vibrations and applying the correction factors, and determining the
actual gain of the determined signal. If the gain varies greatly
from the expected signal gain, particularly if the gain and phase
exceed that of the expected signal, a re-measurement and improved
correction factor may be warranted. Gains and performance can vary
over different frequencies. Certain frequencies where the
correction factor is applied may produce worse responses than other
frequencies, so tuning the correction factors may be advantageous.
The tuning of correction factors, and specifically the
determination of gain and frequency responses at different
frequencies is typically within the realm of those skilled in the
art.
[0053] The result of the foregoing description is a more accurate
characterization of the frequency response of the head in different
vibration conditions. This information may be used in a variety of
ways, including but not limited to changing the overall design,
changing individual component designs, minimizing the effects of
the resonances encountered, and so forth. Thus the head and
suspension response in a fully implemented HDD can be more
accurately measured using the foregoing arrangement and
methodology.
[0054] An alternate aspect of the present design is employing an
acceleration value derived not from the accelerometer but from
velocity measurements on the base of the shaking device. In this
aspect, the resonance amplitude gain of the HGA structure is the
ratio of the amplitude of the responding measured head displacement
D.sub.Hm versus the amplitude of an applied displacement D.sub.H of
a known element, such as the block or base to which the HGA is
attached. As in the aspect presented above, the ratio of these
amplitudes is given for each frequency of a Fourier decomposed
spectrum of frequencies. Thus resonance gain may be defined as a
transfer function, or alternately on the logarithmic scale as Gain,
according to the following equations: Transfer
function=D.sub.Hm/D.sub.H (18a) Gain=20*log(D.sub.Hm/D.sub.H)
(18b)
[0055] Acceleration is the derivative of velocity, and velocity is
the derivative of displacement. Thus these quantities are related
by a multiplication by j.omega., such that head velocity V.sub.H
equals head displacement DH multiplied by j.omega., and head
acceleration AH equals head velocity V.sub.H multiplied by
j.omega.. Further, measured head velocity V.sub.Hm equals measured
head displacement D.sub.Hm multiplied by j.omega., and measured
head acceleration A.sub.hm equals measured head velocity V.sub.Hm
multiplied by j.omega.. Thus resonance gain can be described as
ratios of displacements, velocities, and/or accelerations, such as:
Transfer .times. .times. function = D Hm / D H = V Hm / V H = A Hm
/ A H = j.omega. .times. .times. V Hm / A H ( 19 ) Gain = 20 * log
.function. ( D Hm / D H ) = 20 * log .function. ( V Hm / V H ) = 20
* log .function. ( A Hm / A H ) = 20 * log .function. ( j.omega.
.times. .times. V Hm / A H ) ( 20 ) ##EQU18##
[0056] Again, the applied acceleration at the head may differ from
the acceleration measured at the accelerometer 401. Acceleration
and the associated velocity have the same tilting components. Thus,
the relationship between the implied velocity at the head V.sub.H
and translation velocity V.sub.T at the center of the block to
which the HGA is attached is: V H = V T .function. ( 1 + ( 2
.times. L X L 2 ) .times. C 1 - C 2 C 1 + C 3 + ( 2 .times. L Y L 3
) .times. C 2 - C 3 C 1 + C 3 ) ( 21 ) ##EQU19## [0057] while the
relationship between the implied acceleration at the head and
acceleration at the accelerometer, which is at the center of the
block to which the HGA is attached, is similar: A H = Ac .function.
( 1 + ( 2 .times. L X L 2 ) .times. C 1 - C 2 C 1 + C 3 + ( 2
.times. L Y L 3 ) .times. C 2 - C 3 C 1 + C 3 ) ( 22 )
##EQU20##
[0058] The terms in parentheses in the foregoing equations
represent the geometrical equations accounting for angular rotation
components. Stated another way, j.omega. .times. .times. V Hm A H =
j.omega. .times. .times. V Hm A C .times. 1 ( 1 + ( 2 .times. L X L
2 ) .times. C 1 - C 2 C 1 + C 3 + ( 2 .times. L Y L 3 ) .times. C 2
- C 3 C 1 + C 3 ) ( 23 ) ##EQU21##
[0059] From this, the alternate aspect of the present design uses a
different measurement to extract the same resonance gain values. In
place of using the accelerometer measured acceleration, the system
measures the translational velocity on the block V.sub.T using the
interferometer and subsequently deriving the gain. The
translational velocity V.sub.T is derived from the average of
velocities V.sub.1 and V.sub.3 measured at the aforementioned
locations, so the two different measurement methodologies provide
the same gain value by utilizing the
displacement/velocity/acceleration frequency relationships
presented above. In other words, use of the relationship:
j.omega.V.sub.T=A.sub.C (24) [0060] yields the resonance gain
derived based on the velocity measurements without use of the
accelerometer measurement according to the following equation:
j.omega. .times. .times. V Hm A H = j.omega. .times. .times. V Hm
j.omega. .times. .times. V T .times. 1 ( 1 + ( 2 .times. L X L 2 )
.times. C 1 - C 2 C 1 + C 3 + ( 2 .times. L Y L 3 ) .times. C 2 - C
3 C 1 + C 3 ) = j.omega. .times. .times. V Hm j.omega. .times.
.times. V T .times. 1 ( 1 + ( 2 .times. L X L 2 ) .times. V 1 - V 2
V 1 + V 3 + ( 2 .times. L Y L 3 ) .times. V 2 - V 3 V 1 + V 3 )
.times. .times. where .times. .times. V T = V 1 + V 3 2 ( 25 )
##EQU22##
[0061] The foregoing equation (25) removes reliance on C.sub.i from
the above recited two point and three point correction equations,
as the C.sub.i values, equal to j.omega. V.sub.i/A.sub.C, cancel
out the A.sub.C accelerometer measurements. The A.sub.C values drop
out of the C.sub.i equations above when divided in the fashion
presented. Thus the correction terms are based on the V.sub.i
values representing the velocities at the points on the block. This
obviates the need for accelerometer 401, and provides for the same
level of correction with the use of the laser arrangement of FIGS.
6 and 7, used to measure head and block displacement, velocity, and
acceleration.
[0062] In operation of this alternate aspect, the system first
measures the head when exposed to vibrations at varying
frequencies, and may measure head displacement, head velocity,
and/or head acceleration. Subsequent to this measurement, the
system is altered to evaluate the response of the block, or any
other rigid device employed to shake the article, by measuring the
displacement, velocity, or acceleration of the block at one or more
points when exposed to different frequencies. These values,
representing the excitations at varying frequencies, are employed
to determine a correction factor according to the foregoing
calculations. The result is a correction factor that may be
employed to determine performance of the HGA without the need for
an accelerometer attached to the shaking device.
[0063] While the invention has been described in connection with
specific embodiments thereof, it will be understood that the
invention is capable of further modifications. This application is
intended to cover any variations, uses or adaptations of the
invention following, in general, the principles of the invention,
and including such departures from the present disclosure as come
within known and customary practice within the art to which the
invention pertains.
* * * * *