Covariance Response of Structural Systems to Nonstationary Random Excitation

This paper derives the basic equation for the covariance response of a structural system to any nonstationary random excitation. This equation is constructed by the variance equation and the state transfer matrix of the system. The covariane equation method is given in a form of differential equation，but former that is integral type. For this reason， this method is suitable for the analysis to nonstationary response. The metnod is applied to a single-degree-of-freedem probrem excited by nonstationary noise. The excitation are two special casses，one is white noise process modulated by unit-step-function，another is correlated noise process modulated by half-sine-function