Linearization of Non-Linear Stochastically Excited Dynamic Systems by a Modified Second-Order Procedure

An enhanced second-order linearization method for linearization of non-linear dynamic systems excited by stationary stochastic input processes is outlined in the paper. Noise force components originating when deflecting any non-linear two-force element are used as internal excitations of the dynamic system considered. They are noncoherent mutually and with all external excitations. This enables a better approximation of the system's responses under given external excitation as well as a reasonably accurate determination of the coherences of all processes taking place in the system.