Rotordynamics & Squeeze
Film Dampers
Funded
by National Science Foundation (1994-97) and TAMU Turbomachinery Research
Consortium (1992-to date)
Squeeze
film dampers (SFDs) provide viscous damping to rotating structures,
allowing for reduction in vibration amplitudes and providing safe isolation
from or of other structural components. SFDs are customarily used in
aircraft jet engines, where rolling element bearings provide little damping to
the rotor-bearing system, and in high performance compressors as retrofit
elements in series with tilting pad bearings to soften bearing supports, reduce
critical speeds, and allow for an extra margin of system stability. Most
aircraft gas turbine engines employ at least one squirrel cage supported
damper.
Squeeze
film dampers derive their behavior from a lubricant being squeezed in the
annular space between a non-rotating journal and a bearing housing. The
journal, typically mounted on the outer race of rolling element bearings,
whirls due to the forces exerted on the rotating shaft. The squeeze film action
generates hydrodynamic pressures and damping forces at the film locations where
the instantaneous gap (film thickness) is decreasing.
Squirrel
cage supported dampers are the most commonly employed SFD design. Most
large aircraft gas turbine engines use at least one, and in many instances, two
or three dampers in one engine. The most distinctive feature of this damper
configuration is the relatively large axial space required in comparison to the
bearing hydrodynamic length.
OBJECTIVES:
Funds allowed construction of a fully instrumented
test rig for measurement of the imbalance response of a three disk rotor
supported on SFDs (see figures below). The objectives of the research
are:
(a) to provide reliable imbalance
response measurements in a rotor-SFD configuration similar to that of an
aircraft engine,
(b) to develop an empirical model to
predict the forced dynamic performance of SFDs operating with air entrainment leading to a
bubbly air/oil mixture, and
(c) to develop a non-linear SFD-structural
model should the test results from (a) evidence deviations from linear
behavior.
The
first objective, fully completed, comprised the construction of the test
apparatus and measurements of the test rotor in squirrel-cage supported SFDs
and integral SFDs. The rotor-bearing system shows rigid body cylindrical
and conical critical speeds below a top operating speed of 10 krpm. More than
two hundred test measurements have shown the experimental rotor-SFD
response to be linear even for large imbalance levels and off-centered damper
journal operation. The experimental results allow the identification (and
analytical validation) of the damping capability of integral squeeze film
dampers and aid to determine the applicability of this novel technology to
aircraft jet engines. These results have made the third objective irrelevant.
Other
experiments conducted in a controlled orbit SFD rig have shown the
effects of air ingestion on the performance of SFDs. An analytical model
for performance prediction of SFDs with bubbly mixtures has also been
completed.
ROTORDYNAMICS TEST RIG – ROTOR & SFDs
The
Squeeze Film Damper (SFD) rig consistst of a three disk massive rotor
(92 lb) supported on high precision angular contact ball bearings. The outer
races of these bearings are supported on squeeze film dampers. The rotor is
driven by a 10
Additional
instrumentation includes four oscilloscopes, a FFT analyzer, and digital
displays indicating rotor speeds and lubricant temperatures. The facility
includes a 40 gallon oil tank, three gear pumps (one main oil supply pump and 2
return pumps), and 2 forced air convection coolers (for the lubricant and the
drive motor). A Bentley Nevada ADRE for Windows DAIU collects and
processes the test rig vibration measurements. The data processing software
includes real time slow-roll subtraction, order-tracking and synchronous
response filtering. An instrumentation console contains signal conditioners and
digital displays of the operating rotor speed, flow rate, supply pressures and
inlet/exit damper temperatures. The console includes the controls for operation
of the lubrication pumps and the oil cooling and heating elements. Three
oscilloscopes display the rotor orbits at the measurement locations. A fourth
oscilloscope shows the bearing support housing accelerations, and a frequency
analyzer depicts the FFT of selected vibration signals.
STATE OF THE ART TECHNOLOGY: INTEGRAL SQUEEZE FILM DAMPERS (ISFDs)
Modern technological advances in metal working allow
the development of integral squeeze film dampers (ISFDs). This ingenious
design is made possible by a wire Electrical Discharge Machining (EDM)
process.
ISFDs are compact
mechanical elements with a length no larger than the bearing itself, and
comprised of arcuate pads attached to a bearing housing via thin wire-EDM
webs. ISFDs can also be machined as split segments allowing rapid
retrofit. Replacement of squirrel cage supported SFDs by integral
dampers brings the following benefits to an aircraft gas turbine engine:
1.
Reduced overall weight and length of the entire aircraft engine structure
2. Elimination of squirrel cage components ISFDs
compact and with reduced number of parts
3. Ability to support axial thrust loads without locking the damper lateral
motion
4. Accurate positioning (centering) by precise design and construction of the
support web stiffness and pad film clearances
5. Split configuration which allows easier assembly and inspection than with
any other damper design
A
comprehensive study of the forced performance of Integral Squeeze Film
Dampers is one of the main objectives of research and further development.
RESEARCH COMPLETED
IN 1996/1997:
Measurements of the imbalance response of the test rotor supported on open
ends, integral squeeze film dampers (ISFDs) have been completed. The
dampers are compact with integral radial stiffness procured by wire EDM
thin webs. The ISFDs have length and diameter equal to 3.8 inches (96.52
mm) and 0.91 inches (23.0 mm), with a clearance equal to 9 mils (0.229 mm). The
tests are conducted with an ISO VG 10 oil at room temperature (73 F). The
measurements include shaft speed, vibration displacements at six shaft
locations, and two accelerations at the support housings. Other measurements
include oil temperatures, feed pressures and flow rate.
Tests
identifying the structural stiffness of each ISFD verify the design
value (20 klb/in). Measurements of the synchronous rotor response with
increasing imbalance masses are performed from coast-down tests. The measured
vibration peak response at the rotor first critical speed is used to extract
the system damping force coefficients and subsequent identification of the ISFD
damping coefficients. The experiments show the open ended ISFDs to
damp well the rotor response for the cylindrical modes of vibration, with peak
vibration amplitudes proportional to the magnitude of the imbalances. Large
rotor motions up to 80% of the nominal ISFD clearance are measured, and
without shifts in the first critical speed denoting an absence of damper
stiffness hardening. The test system damping coefficients increase slightly
with the amplitude of rotor motion through the first critical speed. From
these, the damping coefficients for the ISFDs are extracted and agree
well with predictions from a full-film open ends, integral damper FEM model.
This model is based on the solution of the classical Reynolds equation without
fluid inertia effects for incompressible, isoviscous fluids flowing through the
thin film land between the flexural pads and the damper housing. Given a
specified damper journal position and instantaneous velocity, the program
calculates the damper reaction forces and damping force coefficients in the
(X,Y) directions.
RESEARCH
COMPLETED IN 1997/98: SEALED INTEGRAL SQUEEZE FILM DAMPERS
Additional work on the experimental
facility includes measurements of the test rotor-ISFD responses to
couple mass imbalances and for ISFDs with end seals. The goal
is to determine the effect of controlled end gap seals on the integral damper
viscous force coefficients and their influence on the imbalance response of the
test rotor. The measurements also include damper flow-rates and maximum
temperature rise of the lubricant.
Measurements
of the rotor synchronous response to couple imbalances exciting the conical mode
of vibration further demonstrate the effectiveness of the integral SFDs
to reduce rotor vibrations at this mode. Additional imbalance response
measurements show the effect of controlled end gap seals on increasing the ISFDs
damping coefficients while still allowing for cooling lubricant flow through
the dampers.
The
synchronous horizontal rotor (p-p) response for increasing levels of rotor
imbalance is shown here for dampers with end seal gaps equal to 3 mils. The
experiments show the sealed ends ISFDs to damp well the rotor response
for the cylindrical mode of vibration and with peak vibration amplitudes
proportional to the magnitude of the disk imbalances. Note that the rotor peak
amplitude for the largest imbalance is nearly 90% of the damper radial clearance
(0.230 mm). Damping coefficients extracted from the peak amplitudes are also
shown below as a function of the peak rotor amplitude for various end gap seal
clearances (3, 4 and 5 mils). Damping coefficients for the open ended dampers
are also included. The damping values at zero rotor eccentricity correspond to
the test results from impact response experiments without rotor spinning.
The paramount
effect of the end seal gap clearance is clearly demonstrated from the
experiments. Tighter end gap seals offer more damping, up to two times the
magnitude obtained with the open ended dampers. However, the most notable
finding is that the damper flow rate is not reduced as the end seal clearance
decreases, thus allowing for the integral dampers to perform their function
satisfactorily without lubricant overheating, as would be the case of a
conventional damper with tight end seals.
RESEARCH
COMPLETED IN 998-1999: SERIES TILTING PAD BEARING-AND INTEGRAL SF-DAMPER
High
performance, high speed turbomachinery demands appropriate means to ensure
structural isolation of components and stringent rotor vibration limits with
tolerance to sudden imbalance loads due to blade loss events, shock, and
maneuver actions. Squeeze film dampers are an effective mean to reduce
vibrations and to suppress instabilities in high performance aero-engine
systems. Integral squeeze film dampers (ISFDs) offer distinct advantages
such as reduced overall weight and length of the damper structure with less
number of parts, accuracy of positioning (centering), and a split segment
construction allowing easier assembly, inspection and retrofit than with any
other type of damper. Flexure pivot tilting pad bearings offer similar
construction features as the ISFDs while minimizing assembly stack up
tolerances and avoiding pivot wear and fretting. The series combination of a
tilting pad bearing and a squeeze film damper has been implemented in numerous
process compressors in the petrochemical industry to introduce flexibility and
damping to the bearing supports. The proper design of these two mechanical
elements allows for the optimum damping coefficient at the bearing support and
accurate relocation of the (rigid mode) rotor bearing system critical speeds away
from the operating speed range.
Measurements of
imbalance responses of a test rotor supported on SFDs have been
conducted since 1996. These experiments address to rotor-SFD
configurations typical of aircraft gas turbines where safety and stability
dictate the use of ball bearings instead of fluid film hydrodynamic bearings.
In 1999 we are conducting measurements of the synchronous imbalance response of
the test rotor supported on flexure pivot, tilting pad bearings and integral SFDs.
The major objectives of the experiments are to determine the combined effect of
the hydrodynamic bearings and SFDs on the location of critical speeds
and effective logarithmic decrement, and to demonstrate the effectiveness of
this bearing pair combination on reducing amplitudes of rotor vibration. The
experimental results will allow benchmarking of predictive computational tools
for estimation of force coefficients in both tilting pad bearings and squeeze
film dampers.
THE
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ACKNOWLEDGMENTS
The support from National Science Foundation (NSF) and the Turbomachinery
Research Consortium (TRC) is gratefully acknowledged. Thanks to Dr. F.
Zeidan, KMC Bearings, Inc., for his assistance and support.