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16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
Paper N° 2826
TESTING PROTOCOLS AND ACCEPTANCE CRITERIA FOR
PERFORMANCE CHARACTERIZATION OF PENDULUM ISOLATORS
G. Lomiento(1), G. Benzoni(2)
(1) Assistant Professor, California Polytechnic State University Pomona, Department of Civil Engineering, 3801 West Temple Avenue,
Pomona, CA 91768, glomiento@cpp.edu
(2) Research Scientist, University of California, San Diego, Department of Structural Engineering, 9500 Gilman Dr. La Jolla, CA 92093
MC0085, gbenzoni@ucsd.edu
Abstract
This paper addresses common issues of testing requirements for seismic isolators in current building standards. The
extensive results collected from current prototype tests are only partially utilized to support structural models and design
procedures, which often rely on a number of assumptions and simplifications that may significantly affect the prediction of
the isolation system performance. The unique database of the behavior of full scale seismic isolators, subjected to a wide
range of seismic actions at the experimental facility of the University of California San Diego, is used for a rational review
of current testing protocols, with the aim of simplifying and refining pendulum isolators’ performance characterization
process. At the same time, observed ranges of variation of critical response parameters allow to propose physically
motivated acceptance criteria for the most common technologies currently in use. Examples are provided to show how the
results from revised testing programs can be integrated into the design of isolated structures preventing over-simplification
in the modelling phase of the device performance.
Keywords: Seismic isolation; testing protocols; property modification factors; pendulum isolators
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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1. Introduction
Prototype testing protocol is a crucial step in the development of seismic isolation systems. Proper assessment of
the isolation devices’ performance is required in order to prove the system capabilities that protect the isolated
structure. The design and testing of seismically isolated civil structures in the United States is regulated by the
American Society of Civil Engineering Standard ASCE-7 [1]. The importance of prototype testing was early
recognized in Standards incorporating the use of seismic isolation systems [2]. The experimental variability of
design parameters for seismic isolators was extensively investigated in [3], in which the use of property
modification factors was proposed to bound the properties of seismic isolation systems within acceptable values.
As in other standards such as the AASHTO Guide Specification for Seismic Isolation Design [4] and the
Eurocodes [5], the most recent ASCE 7-16 use property modification factors () to account for the variation of
the isolators’ performance parameters due to a variety of effects, including cyclic motion, loading rate,
variability in production, temperature, aging, and environmental exposure and contamination.
The practical advantage of the property modification factors approach over other approaches relies on
allowing the use of simplified predictive models based on upper and lower bound characteristics rather than
sophisticated models that consider all sources of parameters variability. Idealized bilinear lateral force-
displacement models are used for common seismic isolators. These models rely on a limited number of nominal
design parameters such as friction and restoring stiffness for sliding isolator [6] and characteristic strength, post-
elastic stiffness and yield displacement for lead rubber isolators [7]. The actual mechanical properties of an
isolation system during an earthquake are expected to differ from the nominal values used in the analyses while
remaining confined between the boundary limits. The main limitations of this approach consist in the difficult
translation of the experimentally observed behavior into nominal design parameters and reliable modification
factors () that can be safely used for the design. Since the first use of property modification factors, the
availability of new experimental evidence from extensive testing programs has been constantly incorporated into
the definitions of updated upper and lower bound values. Modification were proposed in [5a] to properly
account for scragging phenomena and strain rate effects on elastomeric isolators. Further updates for elastomeric
isolators were later proposed by [5b], which also included the definition of property modification factors for
sliding isolators. As the technology advances and new materials/designs are incorporated into modern seismic
isolators, additional sources and entities of variability for isolators’ properties are evidenced by prototype tests,
which need to be included into current Standards. Even during a single test, mechanical properties of isolators
may significantly vary, and diverge from nominal design parameter [10], which makes the interpretation of
experimental data controversial.
One of the major amendments in the ASCE 7-16 is the presentation of a modified rational approach to
property modification factors for seismic isolators [11]. The procedure suggested by the ASCE-7 is presented
and discussed in light of available full scale experimental data on sliding pendulum isolators. This study focuses
on the modification factors test, which account for the variability of the design parameters during protocol tests.
A regular reinforced concrete building equipped with single pendulum isolators is used as a reference case study.
The current characterization procedures from the ASCE 7-16 are discussed for the case study. A recent friction
coefficient model [12] is used in order to perform detailed structural analysis and to simulate the isolators’
performance when not experimentally available. Based on the observed discrepancies between the simulated
behavior of the structure and the simulated testing data, modifications are proposed to the current testing
adequacy verifications of the ASCE 7-16.
2. Research significance
The use of property modification factors is a simplified way of accounting for the inherent variability of seismic
isolators’ properties, and is strictly paired with standardized prototype testing protocols. An experimental model,
validated against a unique set of data from an extensive experimental campaign, is used to predict the expected
variability for friction isolators during seismic events in comparison with recent prototype tests proposed by the
revised ASCE 7-16. This comparison is aimed at evaluating the adequacy of testing protocols and acceptance
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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criteria, and at verifying their level of comprehensiveness and severity. Modifications of the current prototype
testing protocol are proposed in order to represent expected seismic shaking conditions, and to allow a
comprehensive characterization of the isolators’ performance.
3. Experimental evidence and model
Experimental tests on full scale pendulum isolators show that the restoring forces developed at the curved sliding
interfaces are only affected by the level of the applied vertical force [12], while the coefficient of friction may
depend on a variety of factor [13, 14, 15]. For typical steel-polymer interfaces, the four main effects affecting the
coefficient of friction are:
1. “Breakaway effect”, i.e. the sudden increase of at each motion beginning/reversal;
2. “Load effect”, i.e. the reduction of for increasing contact pressure;
3. “Cycling effect”, i.e. the continuous reduction of due to the increasing temperature of the sliding
interface induced by cyclic sliding;
4. “Velocity effect”, i.e. the gradual increase of with the increasing sliding velocity.
These effects may significantly affect the frictional performance of the even within the duration of a
single test. A detailed experimental model for the variation of the frictional properties was demonstrated as
suitable for capturing most of the effects of load, velocity, and repetitive motion (cycling). The experimental
data used for the model calibration derived from an extensive mono- and bi-directional test campaign conducted
on full-scale single-pendulum isolators under a wide range of vertical loads and velocity [12, 13].
Exemplificative experimental and predicted force-displacement loops are presented in Fig. 1 for two different
levels of vertical load.
Fig. 1 – Exemplificative experimental and predicted force-displacement loops
The proposed friction model accounts for load, velocity, and cycling effects through the functions
NfN
,
vfv
, and
CfC
, respectively:
vfCfNfvCN vCN ,,
(1)
In this study, a modification to the original formulation was implemented in order to allow the application
of the model to isolators of different size with respect to the specimens actually tested. The parameters affected
by scale effects are Nref and Cref, as presented hereafter.
Vertical load effect. This effect is accounted for through the function:
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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ref
NN
sN eNf /
0
(2)
where
s0 = 0.103 = zero-load static coefficient of friction, N>0 vertical compression load on the isolator, Nref =
ref,0
a2 = load associated to a 63% friction reduction, a = 180 mm = in-plane radius of the slider, and ref,0 =
121 MPa = average contact pressure associated to a 63% friction reduction, determined as
ref,0 = Nref,0 /(
a02) (3)
in which the subscript 0 refers to variables of the isolator actually tested.
Velocity effect. The velocity effect is described by:
1 /ref
vv
vevf
(4)
where v = sliding velocity,
= 1.4 = fast / slow friction coefficient ratio, vref = 10 mm/s = experimental value of v
related to a 63% increment of the coefficient of friction.
Cycling effect. Degradation of the coefficient of friction due to sustained motion is taken into account by:
ref
CC
CeCf
(5)
where
= 0.5 = exponential rate of the friction degradation determined from experimental data, C = cycling
variable with the dimension of a heat rate evaluated as
t
t
dtNv
a
tC
0
2
2
(6)
in which N= vertical compression load, v=sliding velocity, a=in-plane radius of the slider, Cref = value of the
variable C associated with a 63% friction reduction for cycling effects: Cref = cref,0
A2, A = in-plane radius of
the concave surface, and
cref,0 = Cref,0 /(
A02) (7)
where the parameters of the tested isolator are: Cref,0 = 5766 kN/ms and A0 = 435 mm.
The experimental validation of the model [12, 13] proved the importance of considering appropriate
vertical loads, sliding velocity, and generated heat flux (or cycling variable) for the assessment of the seismic
behavior of friction isolators. A similar experimental model relying on three functions for the above mentioned
effects was presented later by [16], proving the importance of the inclusions of these effects in the analysis of
seismic isolaton systems. Consistently, the ASCE 7-16 (Sec. 17.8.2) requires that prototype tests protocols shall
be based on preliminary structural analysis of the structural system, to determine the expected levels of vertical
load, wind lateral force, lateral displacement, as well as effective vibration periods.
3. Test protocol and adequacy requirements
The ASCE 7-16 prototype testing protocol suggests the sequence of tests summarized in Table 1. Three different
levels of vertical loads are considered:
1. Vertical load level 1 (average): 1.0D + 0.5L
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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2. Vertical load level 2 (maximum): 1.2D + 1.0E + 1.0L +0.2S
3. Vertical load level 3 (minimum): 0.9D + 1.0E
where D = Dead Load, L = Live Load, S = Snow Load, E = Earthquake Load (Maximum Considered
Earthquake MCE). A total of 8 tests need to be performed including repetitions of test #2 for 3 vertical loads,
and of test #5 for 2 vertical loads.
The above mentioned variability of the coefficient of friction is acknowledged by the ASCE 7-16 that defines
modification factors that shall be applied to the friction properties of pendulum isolators for the structural
analysis. No modification factors are instead applied to the restoring stiffness property. The seven requirements
that need to be satisfied in order to verify the specimen adequacy for each individual isolator (Sec. 17.8.4 ASCE
7-16) are summarized in Table 2. However, only requirements # 3 to 6, are used to verify the adequacy of
nominal design values of the coefficient of friction, and the variability of the coefficient of friction for the above
mentioned effects. An indirect check of the variability of the friction properties is carried out through the
variation of the effective stiffness keff, and damping ratio eff. This indirect check raises the question of the
adequacy of the current procedures, as they are not directly related to the sources of variability experienced
during testing.
Table 1 – Sequence and cycles of prototype tests for ASCE 7-16
Test
Vertical load
# of cycles
per displ. level
Peak displacement
Peak force
Period
1
1
20
-
FW
TM / - (1)
2
1, 2, 3
3
0.25DM, 0.5DM, 0.67DM, 1.0DM
-
TM / - (1)
3
1
3
1.0DM
-
TM / - (1)
4
1
30SM1/(SMSBM)≥10 (2)
0.75DM
TM / - (1)
5
2, 3 (3)
1
1.0DM
-
Notes:
(1) Dynamic testing at the effective period TM are not required if dynamic prototype testing has already being
performed on similar sized isolators, at similar loads, velocity, and displacement
(2) SMS and SM1 are the Maximum Considered Earthquake spectral acceleration values at short periods and 1 sec
period, respectively. BM is the spectrum reduction factor that accounts for the effective damping of the isolation
system. Dynamic testing is performed in sets of 5 cycles.
(3) Maximum and minimum downward vertical load on any one isolator of an individual type must be used, instead
of average maximum and minimum values
Table 2 – Specimen adequacy requirements according to ASCE 7-16
Req. #
Reference tests
Specimen adequacy requirement
1
1, 2, 3, 4
dF/dx > 0
2
3
spec,min-5% ≤ kd,av/( kd,av /N) ≤ spec,max+5%
spec,min-5% ≤ Eloop,av/( Eloop,av/N) ≤ spec,max+5%
3
2, 3
test,min ≤ kd,i/kd,nom ≤ test,max
≤ keff,i/(keff,i/N) ≤
4
4
0.80 ≤ keff,i/keff,1 ≤
5
4
test,min ≤ kd,i/kd,nom ≤ test,max
test,min ≤ Eloop,i/Eloop,1 < test,max
6
4
≤ eff,i/eff,1
7
5
Stability
Notes:
F and x are the lateral force and lateral deflection, respectively
kd and keff, are post-yield and effective stiffness, respectively
Eloop, and eff are energy dissipated per cycle and effective damping ratio, respectively
Subscripts 1, i, av, and nom mean 1st cycle, i-th cycle, average value for all cycles in a single test, and nominal value
N is the number of tested isolators of a common type
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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In addition, current testing protocols are not suited for calibration of detailed friction models. The sources
of variability of the coefficient of friction are not directly addressed by any specific tests. Extrapolation of useful
data from the current testing procedures may be complicated and can discourage the use of most accurate
predictive models. The adequacy of the current testing protocol will be investigated for a specific case study.
5. Case study
A reinforced concrete moment-frame structure is used as reference case study to initiate the prototype testing
procedure. The structure consists of 5 floors with inter-storey height of 3.0 m. Each floor is square in plan and is
supported by double-bay 5.0 m span beams in longitudinal and lateral directions.
The ASCE 7-16 standard implies the use of simplified models for sliding isolators. Upper-bound and
lower-bound friction values are used to account for any possible variation of the friction properties (Sec. 17.2.8.4
ASCE 7-16). The upper-bound and lower-bound modification factors applied to the friction properties are
max =
2.1 and
min = 0.6. These values are determined upon ae factors (
ae,max = 1.56 and
ae,min = 1.0, accounting for
variability due to environmental exposure and aging), test factors (
test,max = 1.3 and
test,min = 0.7, for heating and
sliding rate effects), and spec factors (
spec,max = 1.15 and
spec,min = 0.85, accounting for manufacturing
variability).
Two analyses are completed with a lower and higher limit of the friction coefficient obtained by
multiplying the
min and
max for the nominal coefficient of friction
assumed for load combination 1. A
state-of-the-practice SAP 2000 © model is used to evaluate the structural response of the isolated building. The
isolators are modeled through nonlinear T/C friction isolator links, with a nominal effective radius of curvature
R=2450 mm. Sets of accelerograms from the three ground shaking events reported in Table 3 are used to
simulate three different Maximum Considered Earthquake (MCE) conditions. Nonlinear time history analyses
with the two lateral components of each ground motion are used to determine the expected seismic performance
of the isolation system.
Table 3 – Ground shaking events
Name
Year
Earthquake
Mw
Mech.*
Station
Site
PGA
(g)
PGV
(cm/s)
PGD
(cm)
LP
1989
Loma Prieta
7.0
OB
LGPC
Soil
0.56
94.8
41.1
KO
1995
Kobe
6.9
SS
KJMA
Stiff soil
0.82
81.6
17.7
ER
1992
Erzincan
6.7
SS
Erzincan
Soil
0.50
64.3
21.9
* Fault Mechanism = SS Strike-slip; OB Oblique
6. Simulated testing protocols
Peak displacement (DM) and effective period (TM) are extracted from the preliminary structural analysis,
in order to establish a prototype testing protocol. The peak displacement DM is evaluated as the largest
displacement value from upper- and lower-bound analyses under bi-directional input. The effective period TM is
instead determined as the lower of those determined from upper-bound and lower-bound values. For lack of
better specifications, the effective period was based on bi-directional rather than mono-directional motions.
Values of DM and TM from structural analyses based on upper-bound, lower-bound and nominal values are
summarized in Table 4, with percentage differences from nominal values in brackets. A consistent trend for the
variation of the peak displacement with the coefficient of friction is not evidenced. For the Erzincan earthquake,
an unexpected larger displacement is determined by using upper-bound values rather than lower-bound values.
This is most probably due to a combination of the nonlinear response of the isolation system, the bi-directional
nature of the input, and the shape of the acceleration record. The values in bold in Table 4 were used to define
test parameters for the experimental campaign.
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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Table 4 – Peak displacement and effective period from preliminary analysis
Peak displacement DM (mm)
Effective period TM (s)
Event
Upper-bound
Nominal
Lower-bound
Upper-bound
Nominal
Lower-bound
LP
188 (-60%)
466
656 (+41%)
2.01 (-5%)
2.50
2.64 (-5%)
KO
155 (-59%)
375
525 (+40%)
1.90 (-5%)
2.39
2.55 (-5%)
ER
255 (+12%)
228
217 (-5%)
2.19 (-5%)
2.13
2.10 (-5%)
Vertical loads are also extracted, in order to define the three values of axial force to be applied to the
isolators during testing. Vertical loads of 440 kN, 573 kN, and 344 kN are determined for the three above
mentioned load combination 1, 2 and 3, respectively.
For each MCE event, the complete testing protocol of Table 1 was simulated by using the friction model
presented above. Exemplificative simulated force-displacement loops are shown in Fig. 2 based on the LP event.
a) b) c)
Fig. 2 – Force-displacement loops for: a) test 2 (ascending, N=573 kN), b) test 3, and c) test 4
The results of the simulated tests are summarized in Table 5 in terms of adequacy requirements. In two of
the three considered earthquake scenarios, the isolators failed the adequacy checks (values in bold). A detailed
discussion of the specimen adequacy requirements is presented in the next section.
Table 5 – Verifications of the ASCE 7-16 adequacy requirements # 3 to 6
Req. #
Reference tests
Specimen adequacy requirement
LP
KO
ER
min
max
min
max
min
max
3
2, 3
≤ kd,i/kd,nom ≤ 1
4
4
≤ keff,i/keff,1 ≤
0.95
1.00
0.94
1.00
0.90
1.00
5
4
≤ kd,i/kd,nom ≤
≤ Eloop,i/Eloop,1 ≤
6
4
≤ eff,i/eff,1
7. Discussion of specimen adequacy requirements
Based on the results from the simulated tests, the following considerations are carried out for the ASCE 7-16
testing protocols and adequacy requirements.
Requirement #1 targets possible softening behavior of the isolator for increasing levels of displacement.
A softening behavior is not expected in pendulum isolators, unless a mechanical failure occurs. This requirement
is currently assessed on tests 1, 2, 3, and 4, but may be verified based on tests 1, 4 and 5. Test 5 appears
preferable as it includes maximum levels of displacement under the largest vertical load (level 2).
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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Requirement #2 addresses the adequacy of the manufacturing process in terms of restoring stiffness and
energy dissipated per loop, which is a direct representation of the frictional property of the isolator. Tests 1 and 5
can be used in substitution of the required test 3, as they provide minimum and maximum repeated stress
conditions for the isolator.
Requirement #3 aims at verifying the consistency of the restoring stiffness. The restoring stiffness
depends on the geometry of the isolator and the level of compression force. The restoring stiffness kd appears
marginally affected by the testing conditions, as it is related to the geometry of the sliding surfaces and the
vertical compressive load, which is kept constant during the tests. The reduction of the coefficient of friction due
to cycling effects produces an apparent reduction of the restoring stiffness. This apparent variation is more
significant in tests with lower level of lateral displacement, as proved by the maximum reduction of -19%
detected for the ER test 2. Being most significantly affected by cycling effects, results from test 4 can be used
rather than from test 3.
The requirement also addresses the variability in effective stiffness among tests on similar isolators, which
is not directly representative of the variability of any individual physical parameters of the isolators. The
variability of the coefficient of friction has minor effects on the effective stiffness keff of the isolators. The
maximum reduction (-10%) of the effective stiffness due to cycling is observed for the ER test. This requirement
may be removed, and as a direct control of the variability of the friction property is already performed in Req.
#2.
Requirement #4 focuses on the effective stiffness variation during a single test. This requirement is again
not representative of the actual variation of the friction property, and may be removed. The variability of
coefficient of friction is already addressed by Req. #5.
Requirement #5 relates to the variability of the restoring stiffness and the energy dissipated per loop
during test #4. The requirement about the variability of the restoring stiffness may be removed, since a similar
check is already provided in Req. #3. The variation of the energy dissipated per loop is equivalent to the
variation of the average coefficient of friction during each loop of the test. This variation includes velocity and
cycling effects while it neglects any load effect on the frictional properties. This adequacy requirement is aimed
at avoiding uncontrolled reduction of the coefficient of friction due to heating phenomena even though the
related test cannot isolate this single phenomenon from the effect of velocity. The dissipated energy per loop
Eloop is not expected to increase from the first cycle to following cycles for any of the possible effects affecting
the coefficient of friction. The velocity effect causes an increase of the coefficient of friction, which is however
the same in each deformation cycle of test 4. Also, the load effect is not affecting the coefficient of friction as the
vertical compressive load is held constant during the test. Based on the predictive model, the cycling effect is
responsible for a significant reduction of the coefficient of friction (up to -51% for the LP test 4), which is
directly related to the reduction of the dissipated energy per cycle (up to -35% for the LP test 4). The entity of
the reduction of the dissipated energy is so significant that results in the rejection of the isolator.
Even though load effects are neglected, test 4 may be appropriate to verify the variability of the
coefficient of friction during the design seismic event, because the vertical load on the isolator is on average
approximately equal to load level 1 during a full seismic displacement cycle. However the number of cycles of
the test was found to be in disagreement with the actual cycling degradation during the design seismic event. A
comparison between the earthquakes and the tests 4 is here presented in terms of cycling variable, which
represents the heat generated during the sliding motion and is related to the average increase in temperature of
the sliding surface (Fig. 3).
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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a) b) c)
Fig. 3 – Cycling variable vs time for earthquake and test 4: a) Loma Prieta, b) Kobe, and c) Erzincan
It is evident from the plots that the cycling variable associated with the tests is generally higher than the
cycling variable associated with their relative earthquakes. This is indicative of a higher heat generation during
the tests, with respect to the heat generated during the seismic event. The largest differences are evidenced for
the LP event (+99%) and the KO event (+275%), while a smaller difference is noticeable for the ER event
(+16%). These results suggest that test 4b is not representative of the thermodynamic phenomena associated
with seismic events. As a consequence, it may be excessively conservative for some design earthquakes, and
induce unrealistic reductions of the coefficient of friction. Friction isolator may then be considered inadequate
based on adequacy Req. # 5. It is the Authors' opinion that the prototype testing protocol shall account for
realistic thermodynamic effects. A revision of the testing protocol is envisioned in order to modify Req. # 5 to
make it more representative of real loading conditions, with the key parameter being the cycling variable C.
Variation of the energy dissipated per cycle and the damping ratio shall be verified for levels of the cycling
variable comparable to those expected in seismic events. In case of dynamic analyses, a practical way of
implementing these considerations could be to limit the adequacy requirements verification from test 4 to the
first loop that exceeds the maximum cycling variable value determined by the preliminary structural analysis.
For the analyzed cases, the verification for the LP and KO inputs shall be limited to the third and second
displacement loop, respectively. By doing so, the reduction in Eloop with respect to the first loop would be limited
to -27% for the LP test, and to -17% for the KO test. These values would be a better representation of the design
shaking conditions and would guarantee adequacy of the isolators by ASCE 7-16 (greater than
test,min = 0.70).
Requirement #6 is aimed at limiting uncontrolled variations of the effective damping ratio during a
single test. The reduction in damping ratio may be significant (up to -31% for the LP test 4) and is partially
contained by the simultaneous reduction of the energy dissipated per cycle Eloop and of the effective stiffness keff.
The effective damping ratio is not directly representative of the actual variation of the friction property, and may
be removed. The variability of coefficient of friction is already assessed by Req. #5.
Requirement #7 relates to the overall stability of the isolator at the maximum displacement level. Since
an unstable behavior for pendulum isolators can only be induced by high downward forces, the requirement may
be considered satisfied by only considering the maximum level of vertical load (level 2) in test #5.
8. Proposed testing protocols and specimen adequacy requirements
Based on the previous analysis, the following testing protocol and specimen adequacy requirements are
proposed. The proposed tests are summarized in Table 6. Tests P1, P2 replace tests 1, 4, while test P3 replaces
tests 2, 5. Tests 3 is not included in the proposed protocol, as it is mostly suited for rubber isolators, for which
the force-displacement property is affected by the strain level in the rubber. For pendulum isolators, instead,
intermediate levels of displacement are not expected to cause any source of variation on the isolators’ physical
properties.
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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Table 6 – Proposed sequence and cycles of prototype tests
Test
Vertical load
# of cycles
per displ. level
Peak displacement
Peak force
Period
P1
1
20
-
FW
TM
P2
1
30SM1/(SMSBM)≥10 (1)
0.75DM
TM
P3
1, 2, 3
3
1.0DM
TM
Notes:
(1) SMS and SM1 are the Maximum Considered Earthquake spectral acceleration values at short periods and 1 sec
period; BM is the spectrum reduction factor that accounts for the effective damping of the isolation system. Dynamic
testing is performed in sets of 5 cycles.
The proposed adequacy requirements are presented in Table 7. The requirements about variability of
effective stiffness and damping ratio are removed from the list, while the variability requirements for restoring
stiffness and energy dissipated per cycle are condensed in Req. #P3.
Table 7 – Proposed specimen adequacy requirements
Req. #
Reference tests
Specimen adequacy requirement
P1
P1, P2, P3
dF/dx > 0
P2
P1, P2, P3
spec,min-5% ≤ kd,av/( kd,av /N) ≤ spec,max+5%
spec,min-5% ≤ Eloop,av/( Eloop,av/N) ≤ spec,max+5%
P3
P2
test,min ≤ kd,i/kd,nom ≤ test,max
test,min ≤ Eloop,i/Eloop,1 < test,max
P4
P3
Stability
The combined variability due to velocity and cycling effect may be assessed through test P2. However, the
number of loops considered in order to determine the maximum variation shall be limited to account for the
expected maximum value of cycling variable during the design earthquake.
In case the coefficient of friction exceed the limits set by the modification factors test,min and test,max, the
designer shall have the opportunity of using a more refined friction model from the tests, in order to assess the
seismic behavior of the isolated structure. With this aim, three tests are proposed for the evaluation of the load,
velocity and cycling effects.
The vertical load effect can be assessed through a quasi-static test in which velocity and cycling effects are
negligible. A triangle displacement pattern is used, and the downward force is varied from the minimum value
Load 3 (but not less than 20% Load 1) to the maximum value Load 3 by means of a linear function. The
displacement pattern, and the vertical load pattern are presented in Fig. 4. A 300 s duration was used in this case
to keep the sliding velocity below 2.5 mm/s. The maximum displacement reached in the test is DM.
Fig. 4 – Displacement pattern and vertical force for the vertical load test
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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Simulated results from this test are presented in Fig. 5, in terms of force-displacement loop and coefficient
of friction variation versus the applied vertical load. This test allows assessing the maximum variability of the
friction coefficient for the applied vertical load within the whole design range.
-250
-200
-150
-100
-50
0
50
100
150
200
250
Force F (kN)
Displacement d (mm)
Fig. 5 – Force-displacement loop and friction variability from the vertical load test
The velocity as a source of variability can be assessed through a velocity test with a quadratic
displacement pattern. The maximum displaced is DM, and the time scale is set in order to reach a maximum
velocity of 50mm/s. The value of the maximum velocity is kept low in order to reduce cycling effects. The
maximum velocity may be increased if the coefficient of friction does not reach a plateau at 50mm/s. The
plateau is considered reached if the variation of the coefficient of friction for in the last 20% of the velocity
range (40mm/s to 50mm/s) is less than 5%. The downward force is kept constant during the test, at a level which
is 10% Load 1. Such a low level of vertical force is chosen to minimize cycling effects during the test. The
displacement pattern and the force-displacement behavior are presented in Fig. 6 along with the simulated
variability of the coefficient of friction with the sliding velocity.
-800
-600
-400
-200
0
200
400
600
800
0 2 4 6 8 10
Displacement (mm)
Time (s)
0
5
10
15
20
25
Force F (kN)
Displacement d (mm)
0.05
0.07
0.09
0.11
0.13
0.15
Coefficient of friction (-)
Velocity v (mm/s)
Fig. 6 – Displacement pattern, force-displacement and coefficient of friction variability from the velocity test
Finally a cycling test is proposed to assess, separately from other effects, the friction property variation
due to heating phenomena. The test is performed at constant velocity and vertical load. The test is performed
with a triangular displacement function (peak displacement DM) with period TM. The number of loops are limited
based on the expected value of the cycling variable from the preliminary structural analysis. Displacement
pattern and simulated results for the cycling test are presented in Fig. 7.
16th World Conference on Earthquake Engineering, 16WCEE 2017
Santiago Chile, January 9th to 13th 2017
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Fig. 7 – Displacement pattern, coefficient of friction variation, and force-displacement loops for the cycling test
9. Conclusion
The use of a numerical model of a simple structure and of an experimentally validated phenomenological model
of the frictional performance of sliding isolators allowed the investigation of the testing and acceptance criteria
proposed by ASCE 7-16. Some of the current test requirements proved to be unjustified and weekly informative
for the property modification factors approach. They can also neglect critical performance variations that
significantly affect the efficiency of the isolators while potentially penalizing devices based on unrealistic
loading conditions. A modified testing protocol is proposed in order to account for the device performance
observed during several full scale tests at the Caltrans SRMD Testing Facility. Specific tests are proposed to
characterize single performance parameters that can be directly used for reliable numerical simulations.
10. References
[1] American Society of Civil Engineers (ASCE) (2014): Minimum Design Loads for Buildings and Other Structures,
Draft Version of Standard ASCE/SEI 7-16.
[2] Mayes, R. L., Buckle, I. G., Kelly, T. E., & Jones, L. R. (1992). AASHTO seismic isolation design requirements for
highway bridges. Journal of Structural Engineering, 118 (1), 284-304.
[3] Constantinou, M. C., Tsopelas, P., Kasalanati, A., and Wolff, E. D., "Property modification factors for seismic isolation
bearings." Technical Report MCEER, Vol. 99. US Multidisciplinary Center for Earthquake Engineering Research
(MCEER), 1999.
[4] American Association of State Highway and Transportation Officials (AASHTO) (1999): Guide Specification for
Seismic Isolation Design, Washington D. C.
[5] European Committee for Standardization (CEN) (2005): Eurocode 8 – Design of structures for earthquake resistance –
Part 2: Bridges, EN 1998-2.
[6] Constantinou M, Mokha A, Reinhorn A. (1990): Teflon bearings in base isolation II: Modeling, Journal of Structural
Engineering, 116 (2), 455-474.
[7] Robinson, W. H. (1982): Lead‐rubber hysteretic bearings suitable for protecting structures during earthquakes,
Earthquake Engineering & Structural Dynamics, 10 (4), 593-604.
[8] Thompson, A. C., Whittaker, A. S., Fenves, G. L., & Mahin, S. A. (2000). Property modification factors for elastomeric
seismic isolation bearings. In Proceedings of the 12th World Conference on Earthquake Engineering. New Zealand:
Auckand.
[9] Constantinou, M. C., Whittaker, A. S., Kalpakidis, Y., Fenz, D. M., & Warn, G. P. (2007). Performance of seismic
isolation hardware under service and seismic loading. Technical Rep. No. MCEER-07, 12.
[10] Benzoni, G., Lomiento, G., and Bonessio, N. (2011): Testing protocols for seismic isolation systems, Proceedings of
XIV convegno ANIDIS. L’ingegneria Sismica in Italia, digilabs, Bari, Italy.
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Santiago Chile, January 9th to 13th 2017
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[11] Yenidogan, C., & Erdik, M. (2016). A comparative evaluation of design provisions for seismically isolated buildings.
Soil Dynamics and Earthquake Engineering, 90 , 265-286.
[12] Lomiento, G., Bonessio. N., and Benzoni, G. (2013): Friction model for sliding bearings under seismic excitation,
Journal of Earthquake Engineering, 17 (8), 1162-91.
[13] Lomiento, G., Bonessio, N., and Benzoni, G. (2013): Concave sliding isolator’s performance under multi-directional
excitation, Ingegneria Sismica, 30 (3), 17-32.
[14] 1Lomiento, G., Bonessio, N., and Benzoni, G. (2012): Effects of Loading Characteristics on the Performance of Sliding
Isolation Devices, Proc. of the 15th World Conference on Earthquake Engineering, Lisbon, Portugal.
[15] Lomiento, G., Bonessio, N., Ökten, M. S., and Benzoni, G. (2015): Effect of frictional characteristics on the response
of sliding base-isolated buildings under three components of earthquake excitation, Proc. 14th World Conference on
Seismic Isolation, Energy Dissipation and Active Vibration Control of Structures, San Diego, USA.
[16] Kumar, M., Whittaker, A. S., & Constantinou, M. C. (2015). Characterizing friction in sliding isolation bearings.
Earthquake Engineering & Structural Dynamics, 44(9), 1409-1425.