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End-to-end simulations consist of holistically simulating the earthquake process, starting with fault rupture, generation and propagation of seismic waves to a site(s) of interest, and shaking of the top-soil layer, simulating the structural response including soil-structure interaction, and estimating the losses due to damage and the opportunity cost due to interruption of structure usage. A prototype end-to-end simulation study of a large earthquake on the San Andreas fault and its effects on two tall building models located on 636 analysis sites in southern California is described below.
What would happen to engineered buildings in the Los Angeles and San Fernando
basins if an 1857-like magnitude 7.9 earthquake were to occur on the San Andreas
fault?
Two such earthquakes have been simulated and the nonlinear response of two
18-story steel moment-frame buildings has
been modeled with the aid of high-performance computing.
Key information:
1. Two scenarios - one with rupture initiating at Parkfield in central
California and propagating north-to-south a distance of 290 km and the other
with the slip distribution and rupture direction flipped such that rupture
starts north of Los Angeles and proceeds south-to-north terminating at Parkfield.
2. Both are magnitude 7.9 earthquakes. Kinematic source model of
the Denali (Alaska) fault earthquake of 2002 has been mapped on to the San
Andreas fault.
3. Domain of simulation includes a uniform grid of 636 analysis sites
spaced at 3.5 km in each direction.
4. 3-D models of two 18-story steel moment-frame buildings (one
existing building designed according to the 1982 Uniform Building Code, and the
other being the same building redesigned according to the stricter 1997 UBC)
have been analyzed subjected to 3-component ground motion from the two San Andreas
fault earthquakes at each of the 636 sites.
5. Building response summed up in the form of maps of peak interstory
drift ratio.
Watch movies of the seismic wave propagation and building response.
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NORTH-TO-SOUTH RUPTURE SCENARIO
Fault rupture and seismic wave propagation: Play Movie (18 MB)
Movies of the shaking of existing and new 18-story steel moment-frame
building models at various sites in Southern California. Of these, the
existing building models in Thousand Oaks and Northridge are seen collapsing,
while there is significant permanent tilt in most other cases.
Anaheim: Play Movie (8 MB)
Baldwin Park: Play
Movie (8 MB)
Downtown Los Angeles: Play Movie (8 MB)
Long Beach: Play Movie (8 MB)
Northridge: Play Movie (8 MB)
Santa Ana: Play Movie (8 MB)
Thousand Oaks: Play Movie (8 MB)
West Los Angeles: Play Movie (8 MB)
SOUTH-TO-NORTH RUPTURE SCENARIO
Fault rupture and seismic wave propagation: Play Movie (18 MB)
SOFTWARE USED
SPECFEM3D for the seismic wave propagation.
FRAME3D for the building analyses.
REFERENCES
"Performance of
Two 18-Story Steel
Moment-Frame Buildings in Southern California During Two Large Simulated San Andreas
Earthquakes," Swaminathan Krishnan, Chen Ji,
Dimitri Komatitsch, and Jeroen Tromp, vol. 22(4), November 2006, Earthquake Spectra.
"Case Studies of Damage to Tall
Steel Moment-Frame Buildings in Southern California During Large San Andreas
Earthquakes," Swaminathan Krishnan, Chen Ji, Dimitri Komatitsch, and Jeroen Tromp, vol. 96(4), August 2006,
Bulletin of the Seismological Society of America.
"Performance of 18-Story Steel Moment-Frame Buildings
During a Large San Andreas Earthquake - A Southern California-Wide End-to-End
Simulation", Swaminathan Krishnan, Chen Ji, Dimitri Komatitsch, and
Jeroen Tromp, Technical Report -
CaltechEERL:EERL-2005-01, California Institute of Technology, Pasadena,
California, 2005.
COLLABORATORS
Dr. Jeroen
Tromp, Caltech
Dr. Chen Ji,
University of California, Santa Barbara
Dr. Dimitri
Komatitsch, University of Pau, France
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Strong ground motion from a nearby fault has frequency content in the same
range as the natural frequencies of tall buildings. This may have serious
repercussions. Buildings are
designed per building code standards. But, are the code provisions adequate?
Strong motion from large earthquakes has been recorded only in recent times in
the near-source region. Have the current codes used this information to update
tall structure design guidelines? Considerable damage has been observed in tall
buildings from the Northridge, Kobe, Turkey, and Taiwan earthquakes. How will
tall buildings designed per the latest code regulations perform if they were to
be shaken by any of these earthquakes?
Tall buildings by their nature are computationally intensive to analyze. They
consist of thousands of degrees of freedom and when subjected to strong ground
motion from a nearby source, exhibit inelastic response. Modeling this inelastic
response requires an iterative approach that is computationally expensive.
Furthermore, a large class of buildings, classified as irregular, exhibits
complex behavior that can be studied only when the structures are modeled in
their entirety. To this end, a three-dimensional analysis program, FRAME3D, has been developed
incorporating two special beam-column elements -- the plastic hinge element and
the elastofiber element that can model beams and columns in buildings accurately
and efficiently, a beam-column joint element that can model inelastic joint
deformation, and 4-noded elastic plane-stress elements to model floor slabs
acting as diaphragms forcing the lateral force resisting frames in a building to
act as one unit. The program is capable of performing time-history analyses of
buildings in their entirety.
Six 19-story irregular steel moment frame buildings (with buildings 2A and 3A
being variants of buildings 2 and 3, respectively) have been designed per the
latest code (Uniform Building Code, 1997). Two of these buildings have reentrant
corners and the other two have torsional irregularity. Their strength and
ductility are assessed by performing pushover analyses on them. To assess their
performance under strong shaking, FRAME3D models of these buildings are
subjected to near-source strong motion records from the Iran earthquake (Mw = 7.3, Tabas Station) of 1978, the Northridge earthquake (Mw = 6.7,
Sylmar Station) of 1994 and the Kobe earthquake (Mw = 6.9, Takatori
Station) of 1995. None of the buildings collapsed under these strong events in
the computer analyses. However, when compared against the acceptable limits for
various performance levels in FEMA 356 document, the damage in terms of plastic
deformation at the ends of beams and columns and at joints would render the
buildings inadequate in terms of life safety in quite a few cases and would even
indicate possible collapse in a couple of cases. Thus, in these terms, the code
falls short of achieving its life safety objective, and the near-source factors
introduced in the code in 1997 in recognition of the special features of
near-source ground motion seem to be inadequate. The ductility demand, in terms
of plastic rotation at the ends of beams and columns and in joints, on these
buildings during this class of earthquakes is up to 6% of a radian, which is far
greater than a typical limiting plastic rotation of 3% associated with fracture
and consequent failure of large wide-flanged steel sections during experiments.
Thus, if strength degradation due to fractures, local buckling, etc., were to be
included in the analysis, then the results would likely to be worse, as far as
the ability of these buildings to withstand these earthquakes without collapse
is concerned.

Due to damage localization, the peak drifts observed in the structure far
exceeded the inelastic drift limit in the code of 0.02 (in some cases up to 3
times). This points to serious non-structural damage to facades, interior dry
wall, etc. Furthermore, large roof permanent offsets after the events indicate
significant post-earthquake repair requiring considerable disruption and
building closure. Column yielding was minimal thus validating the strong-column
weak-beam criterion in the code. Redundancy factors used to assess the
redundancy in the system need to take into account the case of torsionally
sensitive structures where frames in both principal directions are
simultaneously activated. Stress concentration was not observed at the reentrant
corners in L-shaped buildings.
Related Links:
Three-Dimensional Nonlinear Analysis of Tall Irregular Steel Buildings Subject
to Strong Ground Motion.
FRAME3D Program - http://www.frame3d.caltech.edu.
FRAME3D Program User Guide - FRAME3D -
A Program for Three-Dimensional Nonlinear Time-History Analysis of Steel
Buildings: User Guide.
Building Animations - http://www.frame3d.caltech.edu/anim.html.
Key Analyses Results - http://www.frame3d.caltech.edu/bldgdb.html.
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