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Strong-motion duration and RMS amplitude of earthquake records

DEPARTMENT OF CIVIL ENGINEERING MASSACHUSETTS INSTITUTE OF TECHNOLOGY, CAMBRIDGE, MASSACHUSETTS 02139
DEPARTMENT OF CONSTRUCTION ENGINEERING AND TECHNOLOGY NATIONAL TAIWAN INSTITUTE OF TECHNOLOGY, TAIPEI, TAIWAN (107), Republic of China

Abstract

A simple procedure is proposed for estimating the strong-motion duration s_o and the rms strong-motion acceleration t_o of earthquake ground motion records. The strong-motion duration is found to be nearly proportional to the quantity I_o/a²_max where a_max is the maximum ground acceleration, and I_o is the integral over time of the squared accelerations. A less important factor influencing the relationship between s_o and I_o/a²_max is the predominant period T_o of the strong phase of the accelerogram. The following simplified expression is also derived for the strong-motion duration: s_o = 7.5 I_o/a²_max.

Duration-related statistics are presented for a set of 140 horizontal components of earthquake ground motion recorded in California. The dependence of duration upon magnitude, epicentral distance, and local condition is examined. The proposed measure of duration provides an important link between the major spectral representations of earthquake ground motion: the Fourier amplitude of acceleration, the acceleration spectral density function, and the response spectrum.

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