In this paper, auto-parametric vibration of a cable-stayed beam structure under stochastic excitation is studied. Linear as well as nonlinear coupling terms between the cable and beam is considered in a simplified model to capture of interaction of the cable’s local motion and the beam’s global motion. The general equivalent linearization method is applied to obtain the stochastic response. Results show that when the vertical excitation to the beam exceeds a critical value, the horizontal motions of the cable and beam are excited due to the autoparametric nonlinear coupling. The structural response possesses non-stationary characteristic, even though the load is stationary.

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