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Rotation-invariant measures of earthquake response spectra

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Abstract

A new procedure for combining the response spectra of two horizontal components of recorded ground motion is presented. The presented formulation accounts for different orientations of accelerometer sensors and derives the maximum and the expected (mean) horizontal response spectra at a site, both of which are invariant to rotation of sensor axes. The maximum response spectrum is derived as the peak resultant response of single degree of freedom oscillators subjected to the as-recorded ground acceleration. The expected spectrum is derived by projecting the displacement response (due to as-recorded motion) along two orthogonal axes to a principal axes in which the displacement responses are uncorrelated. This property is used to formulate an approximation for the expected response spectrum over all possible sensor orientations. A large set of accelerometric data from Europe and the Middle East is used to demonstrate the applicability of the proposed response spectral measures.

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Acknowledgments

We acknowledge the support from University of Iceland Research Fund. This work has been co-financed by the European project “Urban Prevention Strategies using Macroseismic and Fault sources” (UPStrat-MAFA–Num. 230301/2011/613486/SUB/A5), DG ECHO Unit A5. Support from the Energy Research Fund of Landsvirkjun, the national power company of Iceland, is acknowledged.

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Authors and Affiliations

  1. Earthquake Engineering Research Centre, University of Iceland, 800 , Selfoss, Iceland

    R. Rupakhety & R. Sigbjörnsson

  2. Department of Structural Engineering, Norwegian University of Science and Technology, 7491 , Trondheim, Norway

    R. Sigbjörnsson

Authors
  1. R. Rupakhety
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  2. R. Sigbjörnsson
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Correspondence to R. Sigbjörnsson.

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Rupakhety, R., Sigbjörnsson, R. Rotation-invariant measures of earthquake response spectra. Bull Earthquake Eng 11, 1885–1893 (2013). https://doi.org/10.1007/s10518-013-9472-1

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  • DOI: https://doi.org/10.1007/s10518-013-9472-1

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