SIMULATION OF EARTHQUAKE GROUND MOTION AND ITS APPLICATION TO RESPONSE ANALYSIS

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  • 地震動の模擬作成とその応答解析への応用
  • ジシンドウ ノ モギ サクセイ ト ソノ オウトウ カイセキ エ ノ オウヨウ

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Two types of modelling of earthquake motions are introduced. Using synthetic motions simulating a certain recorded motion, characteristics of these synthetic earthquake motions are evaluated and the correlation of response properties between the recorded motion and synthetic ones is determined. Under certain conditions, a time function corresponds uniquely to its Fourier transform, i. e. to the pair of its Fourier phase spectrum and its Fourier amplitude spectrum. The one modelling, Type I modelling, is to determine the Fourier phase spectrum by analysis of a recorded motion and to give uniformly distributed random numbers to the Fourier amplitudes. The other, Type II modelling, is to determine the Fourier amplitude spectrum by analysis giving random angles to the Fourier phase spectrum. Simulating the motions of El Centro, Imperial Valley earthquake of 1940 and Hachinohe Harbour, Tokachi-oki earthquake of 1968, twenty samples of synthetic motions are produced by Type I and Type II modellings, respectively. Characteristics of synthetic motions such as cumulative energy distribution, elastic response spectrum and inelastic response spectrum are evaluated and from a statistical point of view the results are compared with those obtained for the recorded motion. Summarized in the following the properties of synthetic motions are; 1. Cumulative energy distributions for the Type I motions fall in similar values with a small deviation around the mean taken across twenty samples of synthetic motions. 2. While the mean of maximum elastic responses for the Type I motions takes an uniform value and is dissimilar to the response for the recorded motion, the mean of maximum responses for the Type II motions coincides with good agreement to the response for the recorded motion over the entire range of periods. 3. On an average, seventeen cases of maximum elastic responses out of twenty for the Type II motions fall in the value not greater than the mean plus one standard deviation taken across the twenty responses obtained for synthetic motions. 4. For the inelastic response, the maximum response of the recorded motion lies in the range between mean minus one standard deviation and mean plus one standard deviation taken across the twenty responses of the Type II motions.

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