论文信息 - A Preliminary Study on the Randomness of Response Spectra of the 1999 Chi-Chi, Taiwan, Earthquake

A Preliminary Study on the Randomness of Response Spectra of the 1999 Chi-Chi, Taiwan, Earthquake

Abstract The Chi-Chi earthquake supplied us unprecedented informationonnear-fault ground motions and made it possible to study the randomness of near-faultground motions in assembly. From the viewpoint of random function, response spec-tra of 30 stations under similar conditions are used as the samples of three randomfunctions. The mean value functions, autocorrelation, and cross-correlation matrixesof response spectra are studied. According to this study, the response spectra of threecomponents are all the nonstationary functions. The spectra characteristics of twohorizontal components are similar in statistical meaning, but there are certain differ-ences in randomness. There are considerable differences between randomness ofresponse spectra of vertical component and horizontal components. It can be seenthat during the period range from 0.1 to 4 sec, which is the most commonly inves-tigated period range in engineering practice, the autocorrelation and cross-correlationmatrixes of response spectra of two horizontal components have roughly diamond-like shapes; however, it is not the case for the autocorrelation matrixes of verticalcomponent and cross-correlation matrixes of vertical to horizontal components,which are irregular in general. In this article, a primary mathematic model is estab-lished to simulate the autocorrelation matrixes and cross-correlation matrixes of re-sponse spectra of two horizontal components, which paves a way for further studyin the randomness of response spectra.Introduction

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