2007
DOI: 10.1785/0120070007
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Beyond SaGMRotI: Conversion to SaArb, SaSN, and SaMaxRot

Abstract: In the seismic design of structures, estimates of design forces are usually provided to the engineer in the form of elastic response spectra. Predictive equations for elastic response spectra are derived from empirical recordings of ground motion. The geometric mean of the two orthogonal horizontal components of motion is often used as the response value in these predictive equations, although it is not necessarily the most relevant estimate of forces within the structure. For some applications it is desirable… Show more

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Cited by 84 publications
(58 citation statements)
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References 11 publications
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“…We find that a ratio close to unity is obtained up to 5 km both for PGA and PGV. Our results agree with the study of Watson-Lamprey and Boore (2007), which clearly shows that the maximum amplitude is observed on the SN direction only at very short distances from the fault and that at larger distances the SN component of ground motion seldom corresponds to the largest value.…”
Section: Ground-motion Componentssupporting
confidence: 92%
“…We find that a ratio close to unity is obtained up to 5 km both for PGA and PGV. Our results agree with the study of Watson-Lamprey and Boore (2007), which clearly shows that the maximum amplitude is observed on the SN direction only at very short distances from the fault and that at larger distances the SN component of ground motion seldom corresponds to the largest value.…”
Section: Ground-motion Componentssupporting
confidence: 92%
“…The orientation of this critical azimuth varies with oscillator period. The medians of maximum-direction ground motions are systematically higher than those for the geometric mean by factors ranging from 1.2 to 1.35 depending on oscillator period (Beyer and Bommer 2006;Watson-Lamprey and Boore 2007;Bozorgnia 2007, 2008). Using different procedures, modification factors of 1.1 to 1.5 were found by Huang et al (2008).…”
Section: Bidirectional Ground Motion Definitionsmentioning
confidence: 88%
“…Hazard analyses performed with relatively high r ln values for a reference rock site and then modified by deterministic site factors overestimate ground motions (Goulet and Stewart 2009). In summary, while the GMRotI50 r ln is arguably too low relative to r ln for the arbitrary component (difference in variance of 0.03-0.05 for PGA to 1.0 sec S a ; Bozorgnia 2007, Watson-Lamprey andBoore 2007), it is also too high for common site conditions (e.g., for a change of V s30 from the common reference value of 760 m=s to a typical soil site condition of 270 m=s, the difference in variance is $0.1 to 0.03 for PGA to 1.0 sec S a for M>7 earthquakes at distances < $15 km; Abrahamson et al 2008). While this trade-off of compensating errors is hardly ideal, the use of the existing USGS probabilistic ground motion maps combined with NEHRP site and risk factors represents the most reasonable (probabilistically most consistent) basis currently available for evaluating design ground motions along the principal axes of structures.…”
Section: Rationale For the Bias Concernmentioning
confidence: 89%
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“…The record can be used to assess the principal directions of ground motions based on the Arias intensity tensor or the axis along the maximum response, which are unknown a priori (Arias, 1970(Arias, , 1996Hong and Goda, 2007;Watson-Lamprey and Boore, 2007). By defi nition, the major, intermediate, and minor principal directions or axes are associated with the maximum, intermediate, and minimum values of the Arias intensity measure, respectively (Arias, 1970(Arias, , 1996Penzien and Watabe, 1975;Kubo and Penzien, 1979).…”
Section: Introductionmentioning
confidence: 99%