Abstract

The response of the structure subjected to nonstationary random vibration such as earthquake excitation is nonstationary random process. Calculating method for statistical characteristics of such a response is complicated. Mean square value is one of the representative statistical values. Then, practical and simplified method to obtain theoretical statistical value is required. Integral of mean square value of the response corresponds to total energy of the response. In this paper, a simplified calculation method to obtain integral of mean square value of the response of the structure is proposed. Nonstationary random p input excitation is given as product of envelop function and stationary random process. Mean square value of nonstationary random response is assumed to be product of square of envelop function and mean square value of stationary random response. It is found that the proposed method gives exact value of integral of mean square value of the response

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