定常不規則近似を用いた地震応答特性の推定法 : 応答の自乗平均値の積分値の近似計算法(機械力学,計測,自動制御)

概要

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Seismic response of the system is nonstationary random process since earthquake excitation is nonstationary random process. It is not easy to obtain the statistical properties of nonstationary random response theoretically. Mean square value of the response is usually used to describe characteristic of random process. In this paper, integral of mean square value of the response during earthquake excitation is focused on and its simplified estimation method is proposed. Earthquake excitation is simulated by product of stationary random process and envelope function. Nonstationary mean square response is approximated by product of stationary mean square response and square of envelope function. Integral of mean square value of the response for single-degree-of-freedom system and two-degree-of-freedom system for some values of the damping ratio and the natural period are obtained. It is found that the proposed method gives exact value of integral of mean square value of the response.
2004-08-25