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Earthquake Engineering Research - HKU Libraries - The University ...

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177<br />

SPECIFIC ISSUES AND CHALLENGES IN PERFORMANCE ASSESSMENT<br />

Each step summarized in the previous section has many issues that need much discussion and further<br />

research. <strong>The</strong> following sections address a few of these issues and point out some of the challenges<br />

that have to be confronted in order to permit a consistent implementation of the framework equation.<br />

Because of space limitations, only a few specific issues concerned with IMs and EDPs are addressed.<br />

Intensity Measures, IM<br />

Intensity measures are quantities that describe the magnitude (M) and distance (R) dependence (other<br />

parameters such as fault mechanism also could be considered) of ground motions characteristics that<br />

significantly affect the upstream variables of the performance assessment approach. In the context of<br />

Eq. (1), this implies evaluation of the MAP of IMs through seismic hazard analysis. Of course,<br />

simplicity favors scalar measures, and in particular, measures for which hazard analysis results are<br />

available. Choosing, for example, PGA for the IM may be initially appealing, but it implies that the<br />

distribution G(EDP\IM) may have a very broad variability. This in turn means that it will require a<br />

large sample of records and nonlinear analyses to estimate G(EDP\IM) with sufficient confidence. A<br />

well selected spectral ordinate (e.g., S a at the fundamental period T ; ) is an improvement over PGA and<br />

has been the popular choice in the recent past. It is a matter of debate whether S a (Tj) is indeed the<br />

"best" choice ("best" implies a balance between simplicity and accuracy).<br />

S a (Tj") does not account for the frequency content at T y T 17 which dominates higher mode effects (T <<br />

Tj) and period elongation effects for inelastic systems (T > T t ). Again, this may lead to G(EDP\IM)<br />

distributions with a very broad variability. This is illustrated in Fig. 2, which shows normalized<br />

incremental dynamic analyses (IDAs), together with statistical values, for a 6-story frame structure<br />

subjected to 40 ground motions that are scaled so that the S a at the fundamental period (T, = 0.6 sec.) is<br />

the same. Scaling records to a common S a at T, (which is implied by using S a (T|) as the IM) results in<br />

a median spectrum that resembles a typical spectrum for ordinary ground motions, but results in large<br />

variability in spectral ordinates at periods even very close to T,, see Fig. 3.<br />

NORMALIZED MAXIMUM STORY DRIFT<br />

N-6, T,=0 6, £=0 05, Peak-oriented model 9=0.010, BH, K,,S,, LMSR-N<br />

ELASTIC STRENGTH DEMAND SPECTRA<br />

Scaled Records (T=OJ s), LMSR, § = 0.05<br />

1 2 3 4 5<br />

Norm. Max. Story Drift Over Height, 9ull)l)

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