The analysis of forced vibration modes of flexible plates under narrow-band stochastic excitation is discussed. Study of nonlinear vibration of the plate is made by the reduced discrete model constructed on the base of the Hamilton variation principle, the finite-element method, and the method of generalized coordinates. The dynamic state of structure is investigated by numerical modeling of vibration process for particular realization of narrow-band excitation. Each realization of narrow-band stochastic excitation is achieved by the formation of the second order filter and is described by harmonic vibrations with slowly changing amplitude and phase. We examine the scenarios of vibration mode shifts for flexible plates and evaluate the time intervals corresponding to each particular dynamic state.
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