Dynamic response of linear systems to moving stochastic sources

We present a generalized theory for dealing with the dynamic response of li near systems to moving sources. Stochastic characteristics of the response of linear systems to moving stochastic sources are theoretically analyzed b ased on the time-convolution expression established in this paper. We show that the random response of a linear system under a moving stationary stoch astic source becomes a non-stationary process, for which the commonly used spectral analysis is not valid. To overcome this obstacle, the follow-up sp ectral analysis procedure is introduced. Statistical characteristics of the dynamic response are then given in the fixed and follow-up co-ordinates. A brief physical explanation related to time-frequency domain analysis is al so provided. The theory developed in the paper can be universally applied t o the moving source problem for linear systems. (C) 2000 Academic Press.