Rotation-invariant measures of earthquake response spectra

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 o...

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Bibliographic Details
Published in:Bulletin of earthquake engineering 2013-12, Vol.11 (6), p.1885-1893
Main Authors: Rupakhety, R., Sigbjörnsson, R.
Format: Article
Language:English
Subjects:
Accelerometers
Civil Engineering
Displacement
Earth and Environmental Science
Earth Sciences
Earthquakes
Environmental Engineering/Biotechnology
Geophysics/Geodesy
Geotechnical Engineering & Applied Earth Sciences
Ground motion
Horizontal
Hydrogeology
Mathematical analysis
Orientation
Original Research Paper
Principal components analysis
Seismic activity
Seismic phenomena
Sensors
Spectra
Spectrum analysis
Structural Geology
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Description
Summary: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.
ISSN:1570-761X
1573-1456
DOI:10.1007/s10518-013-9472-1