Abstract
The response of the structure subjected to nonstationary random vibration such as earthquake excitation is nonstationary random vibration. Calculating method for statistical characteristics of such a response is complicated. The secondary system such as piping systems, tanks and other mechanical equipment is installed on the primary system such as buildings and supporting structures. Calculation method for statistical characteristics of the response of the secondary system is more difficult. Then, practical and simplified method to obtain theoretical statistical value is required. Mean square value of the response is usually used to evaluate random response. 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 secondary system is proposed. It is found that the proposed method gives exact value of sum of mean square value of the response
