STUDY ON EARTHQUAKE RESPONSE OF STRUCTURES BY CONSIDERING NON-DETERMINISTIC VARIABLES : Part II-Stochastic Properties of Non-deterministic Variables concerning Earthquake Response of Structures (1)

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  • 構造物の地震応答問題における不確定変動量の取扱いに関する研究 : 第 2 報 構造物の地震応答問題にかかわる不確定変動量の統計的変動性 (その 1)
  • 構造物の地震応答問題における不確定変動量の取扱いに関する研究-2-構造物の地震応答問題にかかわる不確定変動量の統計的変動性-1-
  • コウゾウブツ ノ ジシン オウトウ モンダイ ニ オケル フカクテイ ヘンドウ

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Abstract

In previous paper, a theoretical treatment of earthquake response problems of a structure with non-deterministic variables was discussed. When using this theory practically, the stochastic properties of the non-deterministic variables concerning an earthquake response of a structure must be made clear. In this paper, the power spectral density properties of earthquake ground motions are investigated as one of these stochastic properties. Many strong earthquake records at the five locations in Hokkaido were analyzed here. From the result of this analysis, it became clear that the power spectral density properties of earthquake ground motions at a site can be statistically characterized by a sum of the power spectral density functions of the single-degree-of-freedom systems excited by white noise accelerations. Namely, the power spectral density function Sx_g(p) of an earthquake ground acceleration x_g is generally represented by Eq. 1. Based on this assumption, the mean values and the coefficients of variation of the stochastic variables on the power spectral density function for the 5 sites were obtained as shown in Table 2. The maximum coefficients of variation of the stochastic variables ω_g, ζ and s at the 5 sites are 0.16, 0.31 and 0.30, respectively.

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