Abstract
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. Non-stationary 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.
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