EQUIVALENT EXCITATION METHOD FOR RANDOM STRUCTURAL VIBRATION ANALYSIS

An equivalent excitation method for random structural vibration analysis is proposed. Based on the power spectral density of input excitation, an equivalent excitation is constructed, which is adopted as a determinate input load to calculate the responses of the structure, then these responses are decomposed to special responses corresponding to their specific pseudo-excitations, and the power spectral density of the responses is derived using the specific responses. The random vibration of a linear structure under one point non-stationary excitation is studied, and a case for a nonlinear structure is discussed.