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Blade being
prepared for audit. |
Diagnostic Methods to Detect
and Avoid High-Cycle Fatigue Damage
High-cycle fatigue (HCF) is avoided in
rotating turbine blades by controlling vibratory stresses.
Long blades are designed by tuning the lower natural
frequencies to avoid operating near strong excitations and
high vibratory stresses.
When the
natural frequency variance is greater than an acceptable
band, the blades must be designed with sufficient stiffness
to limit stresses when blades operate at resonance. HCF
failures can occur when these conditions are not met or if
excessive excitations occur because of:
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Vane damage
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Rotating stall
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Test set up for impulse/strain
measurement test by SwRI. Impulse hammer in foreground;
strain gage located on sound blade at crack location. |
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Flutter
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Blade tip rubbing
The variability of blade fabrication can
influence natural frequencies on assembly; wear and erosion
can reduce resonant frequency margins over time. Either of
these conditions can result in high-cycle fatigue damage.
Blade Audit Approaches
There are several blade audit approaches used by Southwest
Research Institute (SwRI) that can provide information on
frequency margins and stress levels for turbine blades that
have experienced HCF failures. Because these methods are
based on testing of the actual blades in service, they
relate to the actual installation and the mix of variables
associated with fabrication, assembly, wear, and such.
The
blade vibration audit methods used by SwRI include the
following:
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Blade Modal Analysis provides a means to define the
vibratory motion for each blade natural frequency. This
illustration is useful for redesign of blade sets to avoid
resonances. For example, the shrouds and lashing are
features that can be readily adjusted for grouped blade sets
to affect their natural frequencies. Modal analysis requires
that a number of vibration points be recorded for each test
to clearly define the details of motion. The required mass
and stiffness changes to tune natural frequencies can be
estimated with acceptable accuracy.
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Click
graph for a larger image.
Campbell
diagram exhibits frequency margins for fundamental stair and
flow distortion excitations. Rising frequencies are caused by
centrifugal stiffening; descending frequencies are caused by
rising temperature. |
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Click
graph for a larger image.
Estimated
rotating blade vibratory stress based on combinations of vane
pass excitation and flow distortion. Endurance limit based on
rotating steady-state stress. |
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Excitation of Rotating Blades is caused by passage through
stationary wakes and flow distortions. Vector summation of
modulating axial velocity with constant tangential velocity
results in modulation in velocity relative to blade.
Relative velocity modulation is used to calculate lift
pulsation (pressure modulation).
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Blade Vibratory Stress Audit
provides experimental data for
estimating operating blade stresses. An "on resonance"
stress analysis is applied to high-frequency modes or to
evaluate transient conditions of lower frequency resonances.
Blade transfer function data are recorded by impulse testing
with strain gauges mounted at suspected failure locations.
Operating stresses are calculated from the measured
strain/force function, with dynamic forces based on steady
gas load and dynamic factor, frequency margins, and damping.
Calculated stresses are compared with the endurance limits
for the blade material to determine the prospects for HCF
damage.
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Probabilistic Analysis assesses the risk of failure of any
one blade in a group based on statistical information.
Failure could be associated with the probability that one
blade will operate with less than adequate frequency margin
or the probability that vibratory stress will exceed the
endurance limit for some period of time. An accurate measure
of probability of failure or risk times the consequence of
failure is useful for financial evaluations of maintenance
and repair options.
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Click
graph for a larger image.
Excitation of rotating
blades is caused by passage through stationary wakes and flow
distortions. Vector summation of modulating axial velocity
with constant tangential velocity results in modulation in
velocity relative to blade. Relative velocity modulation is
used to calculate lift pulsation (pressure modulation). |
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Click graph for larger
image.
Typical multi-order
blade vibration response measured with telemetry system.
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Nonintrusive Monitoring is a technique developed by SwRI to
detect shifts in blade natural frequency margins that
contribute to high vibratory stresses. The method requires
sensitive, high-frequency accelerometers mounted at the
bearings that are calibrated to sense blade vibration
sources. Data are continually recorded, filtered, averaged,
and analyzed for synchronous multiples of running speed.
Phase and amplitude trends are monitored and diagnosed for
resonance and damping using modal fitting algorithms. The
method will detect resonant frequency shifts for all blades
or blade groups in a stage. Multiple blade rows can be
monitored if their natural frequencies are separated by at
least one rotational order. -
Telemetry Testing or Slip Ring Systems can be provided by
SwRI when blade resonant responses are required at rotating
conditions to assure that all blade-to-blade interaction and
CF stiffening effects are included. Strain gages are
attached at critical stress locations, wires are routed
along the blade and rotor to a rotating transmitter, and the
signals are received through a stationary antenna to
stationary recording equipment.
Applications
All rotating blades, buckets, impellers; all
stationary vanes, nozzles, and struts used in gas turbines,
steam turbines, compressors, fans, expanders, and similar
rotating equipment.
Supporting Technology
SwRI can offer you a full range of capabilities
and experience in gas turbine technology including becoming an
extension of your engineering department. For more information about
our
gas turbine technology and blade vibration audit technology
capabilities, or how you can contract with SwRI, please contact
Klaus Brun, Ph.D., at
kbrun@swri.org or (210) 522-5449.
gasturbine.swri.org
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Southwest Research Institute® (SwRI®), headquartered
in San Antonio, Texas, is a multidisciplinary, independent, nonprofit, applied
engineering and physical sciences research and development organization with
11
technical divisions.
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