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Earthquakes and Structures
  Volume 8, Number 5, May 2015, pages 957-976

Correlation of elastic input energy equivalent velocity spectral values
Yin Cheng, Andrea Lucchini and Fabrizio Mollaioli

    Recently, two energy-based response parameters, i.e., the absolute and the relative elastic input energy equivalent velocity, have been receiving a lot of research attention. Several studies, in fact, have demonstrated the potential of these intensity measures in the prediction of the seismic structural response. Although some ground motion prediction equations have been developed for these parameters, they only provide marginal distributions without information about the joint occurrence of the spectral values at different periods. In order to build new prediction models for the two equivalent velocities, a large set of ground motion records is used to calculate the correlation coefficients between the response spectral values corresponding to different periods and components of the ground motion. Then, functional forms adopted in models from the literature are calibrated to fit the obtained data. A new functional form is proposed to improve the predictions of the considered models from the literature. The components of the ground motion considered in this study are the two horizontal ones only. Potential uses of the proposed equations in addition to the prediction of the correlation coefficients of the equivalent velocity spectral values are shown, such as the prediction of derived intensity measures and the development of conditional mean spectra.
Key Words
    correlation coefficient; input energy equivalent velocity spectra; conditional mean spectrum
Yin Cheng, Andrea Lucchini and Fabrizio Mollaioli: Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Via Gramsci 53, Rome, Italy

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