フーリェ級数展開による構造物の地震応答解析法

概要

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The linear acceleration method and Runge-Kutta method have been generally used for the earthquake response analysis of structure. These methods are effective when the earthquake input is given by acceleration acting at the base of structure. In the case, however, when the input mechanism of earthquake to the base of structure and the interaction effect between soil and structure are taken into consideration, the earthquake signal after passing through some transfer function should be applied to the base of structure. It is comparatively easy to analyse the transfer mechanism by assuming the input earthquake as a harmonic wave, and the general characteristic of the mechanism is expressed usually as a function of frequency of vibration. Thereby, it becomes almost unable to analyse the response of structure by random earthquake using linear acceleration method or other similar methods. In those cases, it is convenient that the earthquake response of structure can be obtained by compounding responses due to harmonic waves. To achieve this, random earthquake is expanded into trigonometric series by Fourier transform, and the random response of structure has been reduced to the problem of harmonic response in this study. As the result, the method by Fourier transform was proved to give enough accuracy and to be carried out by economical speed.
1971-12-30