空間的に変化する地震動のスペクトルと対応する地盤-基礎系の伝達関数

概要

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The movement of ground surface during an earthquake would not be necessarily identical even in relatively limited plane, but possible to have spatial variation. In this sense mathematical expressions of cross spectral density functions among such ground motions have been investigated from various standpoints, from which associated transfer functions of soil-foudation system have been analytically derived herein. This paper mainly consists of the following contents. In Section 2 some earthquake observations performed in past both on the building foundation and on ground surface in its vicinity are reviewd from above-mentioned point of view. Section 3 describes the technique by which the response of rigid foundation due to multiple inputs is evaluated in a frequency domain through the probabilistic theory. In Section 4 the cross spectral density functions of statistically correlated ground motions are expressed in mathematical forms together with corresponding transfer functions of soil-foundation system obtained by the method discussed in Section 3, the results of which are compared with those of observations shown in Section 2. Ground motions with phase difference in addition are also dealt with in Section 5.
1975-06-30