Abstract

Earthquake is a violent and irregular ground motion that can severely damage structures. In this paper we subject a single-degree-of-freedom system, consisting of spring and damper, to an earthquake excitation, and meanwhile investigate the response behavior from a novel theory about the dynamical system, by viewing the time-varying signum function of It can reflect the characteristic property of each earthquake through and the second component of f, where is a time-sampling record of the acceleration of a ground motion. The barcode is formed by plotting with respect to time. We analyze the complex jumping behavior in a barcode and an essential property of a high percentage occupation of the first set of dis-connectivity in the barcode from four strong earthquake records: 1940 El Centro earthquake, 1989 Loma earthquake, and two records of 1999 Chi-Chi earthquake. Through the comparisons of four earthquakes, we can observe that strong earthquake leads to large percentage of the first set of dis-connectivity.

Highlights

  • IntroductionA simple stationary representation of earthquake-induced ground acceleration was proposed by Kanai [6] and Tajimi [7], based on the study of frequency content of a number of strong ground motion records

  • For a single-degree-of-freedom system subjected to an earthquake excitation, we have investigated the response behavior function from of f a newly developed theory about x 2 − 2(f ⋅ x

  • The barcode was formed by plotting the signum function Sign with respect to the time history of an earthquake

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Summary

Introduction

A simple stationary representation of earthquake-induced ground acceleration was proposed by Kanai [6] and Tajimi [7], based on the study of frequency content of a number of strong ground motion records. They suggested that the ground acceleration of the earth surface layer could be approximated by the absolute acceleration of a simple oscillator with a concentrated mass supported by a linear spring and a dashpot. In this paper we try to use the barcode and the percentage of the first set of dis-connectivity in the barcode to reflect the characteristic property of an earthquake ground motion.

A System Formulation
Two Branches Solutions
The Demonstration of Barcodes
Example 1
Analyzing the Barcode under Earthquakes
The First Set of Dis-Connectivity under Earthquakes
Conclusions
Full Text
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