TECHNICAL PAPERS
Jan 1, 1990

Method to Estimate Center of Rigidity Using Vibration Recordings

Publication: Journal of Structural Engineering
Volume 116, Issue 1

Abstract

A method to estimate the center of rigidity of buildings by using vibration recordings is presented. The method is based on the criterion that the coherence of translational motions with the rotational motion is minimum at the center of rigidity. Since the coherence is a function of frequency, a gross but frequency‐independent measure of the coherency is defined as the integral of the coherence function over the frequency. The center of rigidity is determined by minimizing this integral. The formulation is given for two‐dimensional motions. Two examples are presented for the method; a rectangular building with ambient‐vibration recordings, and a triangular building with earthquake‐vibration recordings. Although the examples given are for buildings, the method can be applied to any structure with two‐dimensional motions.

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References

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Bongiovanni, C., Çelebi, M., and Şafak, E. (1987). Seismic rocking response of a triangular building founded on sand. Earthquake Spectra, 3(4), 793–809.
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Çelebi, M., et al. (1987). Integrated instrumentation plan for assessing the seismic response of structures: A review of the current USGS program, U.S. Geological Survey Circular 947, U.S. Geological Survey, Menlo Park, Calif.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 116Issue 1January 1990
Pages: 85 - 97

History

Published online: Jan 1, 1990
Published in print: Jan 1990

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Authors

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Erdal Şafak, Associate Member, ASCE
Res. Struct. Engrg., U.S. Geological Survey MS‐977, Menlo Park, CA 94025
Mehmet Çelebi, Member, ASCE
Res. Civ. Engrg., U.S. Geological Survey MS‐977, Menlo Park, CA

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