Research Article

Developing efficient scalar and vector intensity measures for IDA capacity estimation by incorporating elastic spectral shape information†

  1. Dimitrios Vamvatsikos1,*,
  2. C. Allin Cornell2

Article first published online: 1 JUN 2005

DOI: 10.1002/eqe.496

Issue

Earthquake Engineering & Structural Dynamics

Earthquake Engineering & Structural Dynamics

Volume 34, Issue 13, pages 1573–1600, 10 November 2005

Additional Information

How to Cite

Vamvatsikos, D. and Cornell, C. A. (2005), Developing efficient scalar and vector intensity measures for IDA capacity estimation by incorporating elastic spectral shape information. Earthquake Engineering & Structural Dynamics, 34: 1573–1600. doi: 10.1002/eqe.496

Author Information

  1. 1

    Department of Civil Engineering, National Technical University of Athens, Greece

  2. 2

    Department of Civil and Environmental Engineering, Stanford University, CA 94305-4020, U.S.A.

*Theagenous 11, Athens 11634, Greece

  1. †

    Based on a short paper presented at the 13th World Conference on Earthquake Engineering, Vancouver, 2004.

Publication History

  1. Issue published online: 28 SEP 2005
  2. Article first published online: 1 JUN 2005
  3. Manuscript Accepted: 16 MAR 2005
  4. Manuscript Revised: 9 MAR 2005
  5. Manuscript Received: 8 JUL 2004

Funded by

  • Reliability of Marine Structures Affiliates Program

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Keywords:

  • performance-based earthquake engineering;
  • incremental dynamic analysis;
  • capacity;
  • intensity measure;
  • limit-state;
  • non-linear

Abstract

Scalar and vector intensity measures are developed for the efficient estimation of limit-state capacities through incremental dynamic analysis (IDA) by exploiting the elastic spectral shape of individual records. IDA is a powerful analysis method that involves subjecting a structural model to several ground motion records, each scaled to multiple levels of intensity (measured by the intensity measure or IM), thus producing curves of structural response parameterized by the IM on top of which limit-states can be defined and corresponding capacities can be calculated. When traditional IMs are used, such as the peak ground acceleration or the first-mode spectral acceleration, the IM-values of the capacities can display large record-to-record variability, forcing the use of many records to achieve reliable results. By using single optimal spectral values as well as vectors and scalar combinations of them on three multistorey buildings significant dispersion reductions are realized. Furthermore, IDA is extended to vector IMs, resulting in intricate fractile IDA surfaces. The results reveal the most influential spectral regions/periods for each limit-state and building, illustrating the evolution of such periods as the seismic intensity and the structural response increase towards global collapse. The ordinates of the elastic spectrum and the spectral shape of each individual record are found to significantly influence the seismic performance and they are shown to provide promising candidates for highly efficient IMs. Copyright © 2005 John Wiley & Sons, Ltd.

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