Abstract:A real domain pseudo-excitation method (PEM) is proposed for computing the power spectral density (PSD) of the linear time variant systems subjected to stationary stochastic external excitations. This method consists of that in accordance with relationship between the Hartley transform and Fourier transform to construct the real pseudo exceptions and to determine the real transfer function, to compute the real pseudo response of structure, and to calculate the PSD of random vibration responses. The results show that the statistical relevancies and coherences among the excitations can be easily evaluated; compared with the traditional complex field PEM, using real pseudo excitations and real pseudo responses to evaluate the PSD of structural random vibrations responses, this method is simpler and practicable.