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Angular motions are at least as prevalent in the automobile and its
surroundings as linear motions but their accurate measurement has been
difficult. The requirement to measure angular motion has become more
critical during the last 10 years due to rapid changes in automotive
design and testing technologies. The greatest changes have been brought
about by the integration of computers into automotive designs and
automated testing which creates the need to capture accurate motion and
vibration data for use in modeling, simulation and test fixtures. The
safety regulation of the automotive industry has also resulted in large
efforts to standardized crash testing with additional needs to accurately
measure angular motions in both vehicles and in crash test mannequins.
Out of these necessities, MHD (Magnetohydrodynamic) angular rate sensors
were developed to provide a wide range of solutions for the automotive and
aerospace industries.
The prior technology
for angular motion analysis used techniques requiring use of linear
accelerometers in arrays such as the 3-2-2-2 array described by Padhaonkar,
et al.1(1975) or the 3-3-3 array of Nusholtz2. (1993). However, these
techniques require positioning multiple linear accelerometers per axis
measured with multiple data channels per axis measured. They have more
complex calculations based on the arrays used, and may include compounded
effects of measurement error in the accelerometers and the multiple data
channels per axis measured. MHD sensors allow single data channels per
axis and direct reading of angular rates which may be easily converted to
acceleration using optional in-line-converter modules, or the conversion
may be done in the measurement and analysis equipment.
The evolution of new
MHD sensor designs for vibration and angular motion analysis have resulted
in a range of products that can be used to measure angular rates as high
as ±11,000 degrees/second or vibration motions as small as 50 nano-radians
over a basic frequency range of less than 1 to greater than 1,000 Hz.
Digital filtering techniques allow the basic frequency response to be
extended to below 0.2 Hz and above 1,500 Hz. The typical modified
frequency and phase response curves are shown in Figure 1. Typical results
of standard MHD sensors with the digital filtering program yield noise
equivalent rates and noise equivalent angles as shown below over the full
range from 0.1Hz to >1000 Hz.
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|
Sensor Model |
Noise
Equivalent Rate
(rad/sec rms) |
Noise
Equivalent Angle
(rad rms) |
|
ARS-01 |
0.008 |
80 x 10-6 |
|
ARS-06 |
0.006 |
60 x 10-6 |
|
ARS-12 |
8 x 10-6 |
100 x 10-9 |
|
ARS-15 |
40 x 10-6 |
500 x 10-9 |
|
The low cross-axis
sensitivity and insensitivity to linear shocks make the MHD sensors
particularly suited to motion and vibration analysis in automotive
applications, and units are hermetically sealed so the use environment may
cover the full range for which automobiles are designed. The sensors have
excellent linearity over the frequency range as shown in Figure 2. MHD
sensors are suitable for suspension and chassis motion and vibration
analysis, engine and drive train torsional and vibration analysis, as well
as for the uses in crash testing previously reported3. MHD
angular rate sensors may be mounted anywhere on the housing of rotating
equipment with the angular axis of sensitivity in the same plane as the
rotation and still provide a complete spectrum of the vibrations. This
flexibility allows the use of MHD angular sensors and 6 degree-of-freedom
arrays in the gathering of data on vehicles under all test conditions.
Typical sensors use dual (+/-) voltages inputs between 5 and 15 Vdc, but
dynamic automotive applications have resulted in new models which can be
operated off of a single +10 to +12 Vdc.
New uses of the MHD
sensors include providing typical driving condition shock, vibration, and
motion data for use in programming simulators and motion test by attaching
analytical instrumentation with angular sensors to each of the suspension
or wheel assemblies, supplementing these with 6 degree-of-freedom arrays
at the center of-gravity of the vehicle chassis, and utilizing angular
motion sensors at the steering components, complete measurements of
vehicle motion is achieved. The resulting analysis of angular and linear
motions and vibrations can then be used to program simulators and test
stands to emulate exact driving conditions, or to emulate the vibrations,
shocks and motions acting on specific subassemblies and components. MHD
sensors are uniquely suited to these applications because of their small
size and ease of mounting on moving vehicles, their ability to withstand
the broad environmental limits, the simple data analysis equipment
required, and their rugged design.
Angular rate sensors
also measure the movements of automobile and truck chassis and suspension
components in braking tests and in evasive handling maneuvers. They can
be used as roll-over sensors, and are finding use in race cars for
analyzing and setting the chassis adjustments for different race tracks
for repeatable performance.
In measuring the
torsional velocity and vibration of rotating equipment such as power
trains, power generation units and engines, MHD angular sensors replace
laser systems and accelerometers for direct measurement in multiple axis.
Used by engine and generator manufacturers such as Cummins Power Systems’
Onan Division for torsional vibration measurements, MHD angular rate
sensors has been verified to yield accurate results over the usable
response curve of the sensor. Test results compare favorably with laser
systems as shown in Figure 3. Amplification and phase response have been
found to be very repeatable and accurate, with phase response for specific
applications brought to within +/- 3 degrees over the large frequency
range by component selection in ARS-01 on-board signal conditioning
electronics.
In automotive crash
and roll-over testing, the versatile MHD sensors again play a variety of
rolls including use in anthropomorphic test mannequins for measurement of
head and pelvis rotation. Extensive studies by the U.S. Department of
Transportation, the U.S. Navy Biodynamic Laboratory4,5 and
others with the ARS-01 type MHD sensors proved the MHD devices to be as
accurate and responsive to measuring angular motions any of the other
methods available while requiring less data channels and calculations.
The ARS-01 products have been made into triaxial arrays and 6
degrees-of-freedom arrays for use in the Hybrid III crash test dummy heads
and for use in aircraft ejection seat testing. Further work by the
University of Virginia and Ford Motor Company6 with the ARS-04
and Dynacube™ sensors validated measurement techniques and extended the
use of MHD angular rate sensors to use in joint kinematics for neck,
spine, subtler joints, and ankles.
In other areas of
automotive crash analysis, the MHD sensors help automotive designers
understand the dynamic forces affecting various components such as
passenger seats, sheet metal structural components and collapsible or
deformable structures. During crash testing, the sensors measure the
angular motions of the structures to allow understanding of the motions
and forces involved for failure analysis and design of better components.
With the ability to operate to linear shock levels well above 1000g and
survive shocks over 3,000g, MHD angular rate sensors are ideal for these
crash testing applications.
The next generation
of MHD angular rate sensors is now under development. New products like
the ARS-12 have extremely high sensitivities for measuring vibrations and
very low noise floors. These products incorporate internal transformers
and unique component designs to achieve new levels of performance for
automotive and aerospace angular motion and vibration analysis and
testing. Combined with solid state pumps for the internal fluids, new MHD
effect gyroscope designs based on the ARS-12 are also emerging which offer
the promise of supplementing GPS navigation systems when the GPS signals
are blocked by “urban canyons” of high buildings and natural geographic
features. Whenever there are new needs for measurement products, MHD
sensors will have all the angles covered.
|
1. |
Padgaonar, A.J.,
etal, “Measurement of Angular Acceleration of a Rigid Body Using
Linear Accelerometers.” Journal of Applied Mechanics, ASME Reprint
75-APMB-3, pp 552-556; September, 1975. |
|
|
2. |
Nusholtz G.S.,
“Geometric Methods in Determining Rigid Body Dynamics”, Experimental
Mechanics, Vol. 33, pp 153-158; June 1993. |
|
|
3. |
Testing
Technology International ’98, p 156. |
|
|
4. |
M.S. Weiss,
S.J.Willems, S.J. Guccione, C.J Mugnier, and M.E Pittman, “A New
Instrumentation System for Measuring the Dynamic Response of the Human
Head and Neck During Impact Acceleration”, Naval Biodynamics
Laboratory and University of New Orleans, Paper presented at AGARD
(Advisory Group For Aerospace Research & Development) Conference
Proceedings 532. |
|
|
5. |
G.C. Willems and
David R. Knouse, Naval Biodynamics Laboratory, A Detailed Evaluation
of the ATA Angular Motion Sensor in Realistic Simulated Crash
Environments, Proceeding of the 35th Stapp Conference,
Society of Automotive Engineers, Orlando, FL, October 1990. |
|
|
6. |
P.G Martin, J.R.
Crandall, and W.D. Pilkey, University of Virginia, and C.C Chow and B.
B. Fileta, Ford Motor Company; Measurement Techniques for Angular
Velocity and Acceleration in an Impact Environment. |
|

Figure 1a. Overlay of the Normalized
Magnitude Response of the ARS-01 MHD sensor, H(s), the
compensation filter C(s), and the
extended (compensated) ARS-01 Response, Hc(s)=H(s)C(s).

Figure 1b. Overlay of the Phase
Responses of the ARS-01, H(s), the compensation filter C(s),
and the extended (compensated) ARS-01
Response, Hc(s)=H(s)C(s).

Figure 2. Linearity of MHD angular
rate sensors calibrated against linear accelerometers.

Figure 3. Correlation of various
measurement methods shows that MHD sensors have responses
equal to laser based systems and
linear accelerometer based methods while offering multiple axes
and single data channel per axes
simplicity. (Data courtesy of Onan Division, Cummins Power
Systems).
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