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Analyzing the Sufficiency of Alternative Scalar and Vector Intensity Measures of Ground Shaking Based on Information Theory

Jalayer, F. and Beck, J. L. and Zareian, F. (2012) Analyzing the Sufficiency of Alternative Scalar and Vector Intensity Measures of Ground Shaking Based on Information Theory. Journal of Engineering Mechanics, 138 (3). pp. 307-316. ISSN 0733-9399. doi:10.1061/(ASCE)EM.1943-7889.0000327.

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The seismic risk assessment of a structure in performance-based design (PBD) may be significantly affected by the representation of ground motion uncertainty. In PBD, the uncertainty in the ground motion is often represented by a probabilistic description of a scalar parameter, or low-dimensional vector of parameters, known as the intensity measure (IM), rather than a full probabilistic description of the ground motion time history in terms of a stochastic model. In this work, a new procedure employing relative sufficiency measure is introduced on the basis of information theory concepts to quantify the suitability of one IM relative to another in the representation of ground motion uncertainty. On the basis of this relative sufficiency measure, several alternative scalar- and vector-valued IMs are compared in terms of the expected difference in information they provide about a predicted structural response parameter, namely, the seismically induced drift in an existing reinforced-concrete frame structure. It is concluded that the most informative of the eight considered IMs for predicting the nonlinear drift response are two scalar IMs and a vector IM that depend only on the spectral ordinates at the periods of the first two (small-amplitude) modes of vibration.

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Additional Information:© 2012 American Society of Civil Engineers. This manuscript was submitted on January 22, 2011; approved on August 11, 2011; published online on August 13, 2011. This work was supported in part by the Earthquake Engineering Research Centers Program of the National Science Foundation under Award Number EEC-9701568 through the Pacific Earthquake Engineering Research Center (PEER). This support is gratefully acknowledged. Any opinions, findings, conclusions, or recommendations expressed in this material are those of the authors and do not necessarily reflect those of the National Science Foundation. The first author also acknowledges the support from a George W. Housner Post-doctoral Fellowship in Civil Engineering from the California Institute of Technology.
Funding AgencyGrant Number
NSF Earthquake Engineering Research Centers ProgramEEC-9701568
Subject Keywords:Seismic effects; Ground motion; Measurement; Information management; Uncertainty principles; Performance-based seismic assessment; Ground motion uncertainty; Intensity measure; Information theory; Relative entropy
Issue or Number:3
Record Number:CaltechAUTHORS:20120427-141107463
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:30380
Deposited By: Tony Diaz
Deposited On:30 Apr 2012 16:14
Last Modified:09 Nov 2021 19:47

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