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31.3 Seismic Qualification
Frequently, it is necessary to determine whether a given piece of equipment is capable of withstanding a
pre-established seismic environment in a specific application. This process is known as seismic
qualification. For example, electric utility companies should qualify their equipment for seismic
capability before installing it in earthquake-prone geographic localities. Safety-related equipment in
nuclear power plants also requires seismic qualification. Regulatory agencies usually specify the general
procedures to follow in seismic qualification.
Seismic qualification by testing is appropriate for complex equipment, but in such cases, the
equipment size is a limiting factor. For large systems that are relatively simple to model, qualification by
analysis is suitable. Often, however, both testing and analysis are needed in the qualification of a given
piece of equipment. Seismic qualification of equipment by testing is accomplished by applying a dynamic
excitation by means of a shaker to the equipment, which is suitably mounted on a test table, and then
monitoring structural integrity and functional operability of the equipment. Special attention should be
given to the development of the dynamic-test environment, mounting features, the operability variables
that should be monitored, the method of monitoring functional operability and structural integrity, and
the acceptance criteria used to decide qualification.
In monitoring functional operability, the test facility would normally require auxiliary systems to load
the test object or to simulate in-service operating conditions. Such systems include actuators,
dynamometers, electrical-load and control-signal circuitry, fluid-flow and pressure loads, and thermal
loads. In seismic qualification by analysis, a suitable model is first developed for the equipment, and then
static or dynamic analysis (or computer analysis) is performed under an analytically defined dynamic
environment. The analytical dynamic environment is developed on the basis of the specified dynamic
environment for seismic qualification. By analytically or computationally determining system response at
various locations, and by checking for such crucial parameters as relative deflections, stresses, and strains,
qualification can be established.
31-6 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
31.3.1 Stages of Seismic Qualification
Consider the construction of a nuclear power plant. In this context, the plant owner is the customer.
Actual construction of the plant is done by the plant builder, who is directly responsible to the customer
concerning all equipment purchased from the equipment supplier or vendor. Often, the vendor is also
the equipment manufacturer. The equipment may be purchased by the customer and handed over to the
plant builder or directly purchased by the plant builder. Accordingly, the purchaser could be the plant
builder or the plant owner. A regulatory agency might stipulate seismic-excitation capability
requirements for the equipment used in the plant, or might specify the qualification requirements for
various categories of equipment. The customer is directly responsible to the regulatory agency for
adherence to these stipulations. The vendor, however, is responsible to the plant builder and the customer
for the seismic capability of the equipment. The vendor may perform seismic qualification on the
equipment according to required specifications. More often, however, the vendor hires the services of a
test laboratory, which is the contractor, for seismic qualification of equipment in the plant. A reviewer,
who is hired by the plant builder or the customer, may review the qualification procedure and the report,
which are usually developed by the test laboratory by adhering to the qualification requirements.
Figure 31.3 gives a flowchart for test-object movement and for associated information interactions
between various groups in the qualification program.
A basic step in any qualification program is the preparation of a qualification procedure. This is a
document that describes in sufficient detail such particulars as the tests that will be conducted on the test
object, pretest procedures, the nature of test-input excitations and the method of generating these signals,
inspection and response-monitoring procedures during testing, definitions of equipment malfunction,
and qualification criteria. Where analysis is also used in the qualification, the analytical methods and
computer programs that will be used should be described adequately in the qualification procedure. The
qualification procedure is prepared by the test laboratory (contractor), equipment particulars are
obtained from the vendor or the purchaser, and the purchaser usually supplies the test environment for
which the equipment will be qualified.
Before the qualification tests are conducted, the test procedure is submitted to the purchaser for
approval. The purchaser normally hires a reviewer to determine whether the qualification procedure
satisfies the requirements of both the regulatory agency and the purchaser. There could be several stages
of revision of the test procedure until it is accepted by the purchaser upon the recommendation of the
reviewer.
The approved qualification procedure is sent to the test laboratory and qualification is performed
accordingly. The test laboratory prepares a qualification report that also includes the details of static or
dynamic analysis when incorporated. The qualification report is sent to the purchaser for evaluation. The
purchaser might obtain the services of an authority to review the qualification report. The report might
have to be revised and analysis and tests might have to be repeated before a final decision is made on the
qualification of the equipment. Information flow in a typical qualification program is shown in
Figure 31.4.
Regulatory Agency
Equipment
Supplier
(vendor)
(Manufacturer)
Test
Laboratory
(Contractor)
Customer
(Plant Owner)
Plant
Builder
Equipment
To Be
Qualified
Qualified
Equipment
FIGURE 31.3 Test-object movement and information interactions in seismic qualification.
Seismic Qualification of Equipment 31-7
© 2005 by Taylor & Francis Group, LLC
31.3.2 Test Preliminaries
Seismic qualification tests are usually conducted by
one of two methods depending on whether singlefrequency
or multifrequency excitation inputs are
employed in the main tests. The two test categories
are (1) single-frequency tests and (2) multifrequency
tests. Although the second test method is
more common in seismic qualification by testing,
the first method is used under some conditions
depending on the nature of the test object and its
mounting features (for example, line-mounted vs.
floor-mounted equipment). Typically, multifrequency
excitations are preferred in qualification
tests, and single-frequency excitations are favored
in design-development and quality-assurance tests.
In single-frequency testing, amplitude of the excitation input is specified by a required input motion
(RIM) curve, similar to that shown in Figure 31.5. If single-frequency dwells (e.g., sine dwell, sine beat)
are employed, then the excitation input is applied to the test object at a series of selected frequency values
in the frequency range of interest for that particular test environment. In such cases, dwell times (and
number of beats per cycle where sine beats are employed) at each frequency point should be specified.
If a single-frequency sweep (such as a sine sweep) is employed as the excitation signal, then the sweep
rate should be specified. When the single-frequency test-excitation is specified in this manner, the tests
are conducted very much like multifrequency tests.
Multifrequency test are normally conducted by employing the response spectra method to represent
the test-input environment. Basically, the test object is excited using a signal whose response spectrum,
known as the test response spectrum (TRS), envelops a specified response spectrum, known as the
required response spectrum (RRS). Ideally, the TRS should equal the RRS but it is practically impossible
to achieve this condition. Hence, multifrequency tests are conducted using a TRS that envelops the RRS
so that in significant frequency ranges, the two response spectra are nearly equal (see Figure 31.6).
However, excessive conservatism, which would result in overtesting, should be avoided. It is usually
acceptable to have TRS values below the RRS at a few frequency points.
The RRS is part of the data supplied to the test laboratory prior to the qualification tests being
conducted. Two types of RRS are provided, representing (1) the operating-basis earthquake (OBE), and (2)
the safe-shutdown earthquake (SSE). The response spectrum of the OBE represents the most severe
motions produced by an earthquake under which the equipment being tested would remain functional
without undue risk of malfunction or safety hazard. However, if the equipment is allowed to operate at a
Equipment
Supplier Test
Laboratory
Purchaser (Contractor)
Purchaser
Regulatory
Agency
Purchaser
Reviewer
Test
Laboratory
Equipment
Data
Test
Environment
Qualification
Procedure
Approved
Procedure
Standards
Guides
Specification
Test Report
Qualification
Procedure
Approved
Test Report Test Report
FIGURE 31.4 Information flow in a seismic qualification program.
Frequency
Acceleration Amplitude
FIGURE 31.5 A typical required input motion curve.
31-8 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
disturbance level higher than the OBE level for a
prolonged period then there would be a significant
risk of malfunction.
The response spectrum of the SSE represents the
most severe motions produced by an earthquake
that the equipment being tested could safely
withstand while the entire nuclear power plant is
being shutdown. However, prolonged operation
(i.e., more than the duration of one earthquake)
could result in equipment malfunction. In other
words, equipment is designed to withstand only
one SSE in addition to several OBEs.
A typical seismic qualification test would first subject the equipment to several OBE-level excitations,
primarily for aging the equipment mechanically to its end-of-design-life condition, and then would
subject it to one SSE-level excitation. When providing RRS test specifications, it is customary to supply
only the SSE requirement. The OBE requirement is then taken as a fraction (typically, 0.5 or 0.7) of the
SSE requirement.
Test response spectra corresponding to the excitation signals are generated by the test laboratory
during testing. The purchaser usually supplies the test laboratory with an FM tape containing frequency
components that should be combined in some ratio to generate the test-input signal.
Qualification tests are conducted according to the test procedure approved and accepted by the
purchaser. The main steps of seismic qualification testing are outlined in the following subsections.
31.3.3 Single-Frequency Testing
Seismic ground motions usually pass through
various support structures before they eventually
are transmitted to equipment. For seismic qualification
of that equipment by testing, in theory we
should apply the actual excitations felt by it, and
not the seismic ground motions. In an ideal case,
the shaker-table motion should be equivalent to
the seismic response of the supporting structure
at the point of attachment of the equipment.
The supporting structure would have a particular
frequency-response function between the
ground location and the equipment-support
location (see Figure 31.7). Consequently, it could
be considered a filter that modifies seismic ground
motions before they reach the equipment mounts.
In particular, the components of the ground motion that have frequencies close to a resonant frequency of
the supporting structure will be felt by the equipment at a relatively higher intensity. Furthermore, the
ground motion components at very high frequencies will be almost entirely filtered out by the structure. If
the frequency response of the supporting structure is approximated by a lightly damped simple oscillator,
then the response felt by the equipment will be almost sinusoidal, with a frequency equal to the resonant
frequency of the structure.
When the equipment supporting structure has a very sharp resonance in the significant frequency
range of the dynamic environment (for example, 1 to 35 Hz for seismic ground motions), it follows from
the previous discussion that it is desirable to use a short-duration single-frequency test in seismic
qualification of the equipment. Equipment that is supported on pipelines (valves, valve actuators, gauges,
and so forth) falls into this category and is termed line-mounted equipment.
FIGURE 31.6 The TRS enveloping the RRS in a
multifrequency test.
FIGURE 31.7 Schematic representation of the filtering
of seismic ground motions by a supporting structure.
Seismic Qualification of Equipment 31-9
© 2005 by Taylor & Francis Group, LLC
Resonant frequency of the supporting structure is usually not known at the time of the seismic
qualification test. Consequently, single-frequency testing must be performed over the entire frequency
range of interest for that particular dynamic environment.
Another situation in which single-frequency testing is appropriate is when the test object (equipment)
itself does not have more than one sharp resonance in the frequency range of interest. In this case, the
most prominent response of the test object occurs at its resonant frequency, even when the dynamic
environment is an arbitrary excitation. Consequently, a single-frequency excitation would yield
conservative test results. Equipment that has more than one predominant resonance may employ singlefrequency
testing provided that each resonance corresponds to a dynamic DoF (e.g., one resonance along
each dynamic principal axis), and that cross coupling between these DoF is negligible.
In summary, single-frequency testing may be used where one or more of the following conditions are
satisfied:
1. The supporting structure has one sharp resonance in the frequency range of interest (linemounted
equipment is included).
2. The test object does not have more than one sharp resonance in the frequency range of interest.
3. The test object has a resonance in each DoF, but the DoF are uncoupled (for which adequate
verification should be provided in the test procedure).
4. The test object can be modeled as a simple dynamic system (such as a simple oscillator), for which
adequate justification or verification should be provided.
Usually, the required SSE excitation level for a single-frequency test over a frequency range is specified
by a curve such as the one shown in Figure 31.5. This curve is known as the RIM magnitude curve. The
OBE excitation level is usually taken as a fraction (typically, 0.5 or 0.7) of the RIM values given for the
SSE. For a sine-sweep test, the sweep rate and the number of sweeps in the test should also be specified.
Typically, the sweep rate for seismic qualification tests is less than 1 octave/min. One sweep, from the state
of rest to the maximum frequency in the range and back to the state of rest, is normally carried out in an
SSE test (for example, 1 – 35 to 1 Hz). Several sweeps (typically, five) are performed in an OBE test.
In an SSE sine-dwell test, the dwell time for each dwell frequency should be specified. The dwellfrequency
intervals should not be high (typically, a half-octave or less). For an OBE test, the dwell times
are longer (typically, five times longer) than those specified for an SSE test.
For an SSE test using sine beats, the minimum number of beats and the minimum duration of
excitation (with or without pauses) at each test frequency should be specified. In addition, the pause time
for each test frequency should be specified when sine beats with pauses are employed. For an OBE test,
the duration of excitation should be increased (as in a sine-dwell test).
The dwell time at each test frequency should be adequate to perform at least one functional-operability
test. Furthermore, a dwell should be carried out at each resonant frequency of the test object as well as at
those frequencies that are specified. Total duration of an SSE test should be representative of the duration
of the strong-motion part of a standard safeshutdown
earthquake.
Sometimes, narrow-band random excitations
may be used in situations where single-frequency
testing is recommended. Narrowband random
signals are those that have their power concentrated
over a narrow frequency band. Such a signal
can be generated for test-excitation purposes by
passing a random signal through a narrow-bandpass
filter. By tuning the filter to different center
frequencies in narrowbands, the test-excitation
frequency can be varied during testing. This center
frequency of the filter should be swept up and
down over the desired frequency range at a
FIGURE 31.8 A typical RRS for a narrow-band
excitation test.
31-10 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
reasonably slow rate (e.g., 1.0 octave/min) during the test. Thus, a multifrequency test with a sharp
frequency-response spectrum (the RRS), as illustrated in Figure 31.8, is adequate in cases where singlefrequency
testing is recommended. In this case, a requirement that has to be satisfied by the testexcitation
signal is that its amplitude should be equal to or greater than the zero-period acceleration of
the RRS for the test.
31.3.4 Multifrequency Testing
When equipment is mounted very close to the ground under its normal operating conditions, or if its
supporting structure and mounting can be considered rigid, then seismic ground motions will not be
significantly filtered before they reach the equipment mounts. In this case, the seismic excitations that are
felt by the equipment will retain broadband characteristics. Multifrequency testing is recommended for
seismic qualification of such equipment.
Whereas single-frequency tests are specified by means of an RIM curve along with the test duration at
each frequency (or sweep rates), multifrequency tests are specified by means of an RRS curve. The test
requirement in multifrequency testing is that the response spectrum of the test excitation (the TRS) felt
by the equipment mounts should envelop the RRS. Note that all frequency components of the test
excitation are applied simultaneously to the test object. This is in contrast to single-frequency testing, in
which only one significant frequency component is applied at a given instant.
When random excitations are employed in multifrequency testing, enveloping of the RRS by the TRS
may be achieved by passing the random signal produced by a signal generator through a spectrum shaper.
As the analyzing frequency bandwidth (e.g., one-third octave bands, one-sixth octave bands) decreases,
the flexibility of shaping the TRS improves. A real-time spectrum analyzer (or a personal computer) may
be used to compute and display the TRS curve corresponding to the control accelerometer signal (see
Figure 31.9). By monitoring the displayed TRS, it is possible to adjust the gains of the spectrum-shaper
filter to obtain the desired TRS that would envelop the RRS.
Most test laboratories generate their multifrequency excitation signals by combining a series of sine
beats that have different peak amplitudes and frequencies. Using the same method, many other signal
types (such as decaying sinusoids) may be superimposed to generate a required multifrequency
excitation signal. A combination of signals of different types could also be employed to produce a desired
test input. A commonly used combination is a broadband random signal and a series of sine beats. In this
combination, the random signal is adjusted to have a response spectrum that will envelop the broadband
portion of the RRS without much conservatism. The narrow-band peaks of the RRS, which generally will
not be enveloped by such a broadband response spectrum, will be covered by a suitable combination
of sine beats.
Random
Signal
Generator
Spectrum
Shaper
Power
Amplifier
Test
Table
Random
Signal
Spectrum
Analyzer
Shaped
Signal
Test Input
Control Excitation
Accelerometer
Output
TRS
Spectrum
Control
FIGURE 31.9 Matching of the TRS with the RRS in multifrequency testing.
Seismic Qualification of Equipment 31-11
© 2005 by Taylor & Francis Group, LLC
By employing such mixed composite signals, it is possible to envelop the entire RRS without having to
increase the amplitude of the test excitation to a value that is substantially higher than the ZPA of the
RRS. One important requirement in multifrequency testing is that the amplitudes of the test excitation be
equal to or greater than the ZPA of the RRS.
31.3.5 Generation of RRS Specifications
Seismic qualification of an object is usually specified in terms of an RRS. The excitation input that is used
in seismic qualification analysis and testing should conservatively satisfy the RRS; that is, the response
spectrum of the actual excitation input should envelop the RRS (without excessive conservatism, of
course).
For equipment to be installed in a building or on some other supporting structure, the RRS generally
cannot be obtained as the response spectrum of a modified seismic ground-motion time-history. The
supporting structure usually introduces an amplification effect and a filtering effect on seismic ground
motions. This amplification factor alone could be as high as three. Some of the major factors that
determine the RRS for a particular seismic qualification test are as follows:
1. Nature of the building that will be qualified
2. Dynamic characteristics of the building or structure and the location (elevation and the like)
where the object is expected to be installed
3. In-service mounting orientation and support characteristics of the object
4. Nature of the seismic ground motions in the geographic region where the object would be installed
5. Test severity and conservatism that is required by the purchaser or the regulator agency
The basic steps in developing the RRS for a specific seismic qualification application include the
following:
1. Development of representative safe-shutdown earthquake (SSE) ground-motion time histories for
the building (or support structure) location
2. Development of a suitable building (or support structure) model
3. Response analysis of the building model, using the time histories that are obtained in Step 1
4. Development of response spectra for various critical locations in the building (or support
structure), using the response time histories obtained in Step 3
5. Normalization of the response spectra obtained in Step 4 to unity ZPA (that is, dividing by their
individual ZPA values)
6. Identification of the similarities in the set of normalized response spectra that are obtained in Step
5 and grouping them into a small number of groups
7. Representation of each similar group by a response spectrum consisting of straight-line segments
that envelop all members in the group, giving a normalized RRS for each group
8. Determination of scale factors for various locations in the building for use in conjunction with the
corresponding normalized RRS curves
Representative strong-motion earthquake time histories (SSEs) are developed by suitably modifying
actual seismic ground-motion time histories that have been observed in that geographic location (or a
similar one), or by using a random-signal-generation (simulation) technique or any other appropriate
method. These time histories may be available as either digital or analog records, depending on the
way in which they are generated. If computer simulation is used in their development, then a
statistical representation of the expected seismic disturbances in the particular geographic region
(using geological features in the region, seismic activity data, and the like) should be incorporated in
the algorithm. The intensity of the time histories can be adjusted, depending on the required test
severity and conservatism.
The normalized response spectra are grouped so that the spectra that have roughly the same shape are
put in the same group. In this manner, relatively few groups of normal response spectra (normalized) are
31-12 Vibration and Shock Handbook
© 2005 by Taylor & Francis Group, LLC
obtained. Then, the response spectra that belong to each group are plotted on the same graph paper.
Next, straight-line segments are drawn to envelop each group of response spectra. This procedure results
in a normalized RRS for each group of analytical response spectra.
The RRS that is used for a particular seismic qualification scheme is obtained as follows. First, the
normalized RRS corresponding to the location in the building where the object would be installed is
selected. The normalized RRS curve is then multiplied by the appropriate scaling factor. The scaling
factor normally consists of the product of the actual ZPA value under SSE conditions at that location (as
obtained from the analytical response spectrum at that location, for example) and a factor of safety that
depends on the required test severity and conservatism.
In fact, three RRS curves corresponding to the vertical, east – west and north – south directions might
be needed, even for single-degree-of-freedom (single-DoF) seismic qualification tests because, by
mounting three control accelerometers in these three directions, triaxial monitoring could be
accomplished. If only one control accelerometer is used in the test, then only one RRS curve is used.
In this case, the resultant of the three orthogonal RRS curves should be used. One way to obtain the
resultant RRS curve is to apply the square root of the sum of squares (SRSS) method to the three
orthogonal components. Alternatively, the envelope of the three orthogonal RRS curves is obtained and
multiplied by a safety factor (greater than unity).
Note that more than one building (or even many different geographic locations) could be included in
the described procedure for developing RRS curves. The resulting RRS curves are then valid for the
collection of buildings or geographic locations considered. When the generality of an RRS curve is
extended in this manner, the test conservatism increases. This will also result in an RRS curve with a
much broader band.
In practice, in a particular seismic qualification project, only a few normalized RRS curves are
employed. In conjunction with these RRS curves, a table of data is provided that identifies the proper
RRS curves and the scaling factors that should be used for different physical locations (for example,
elevations) in various buildings that are situated at several geographic locations.
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