Structural Response to Stationary Excitation

by Armen Der Kiureghian, (A.M.ASCE), Asst. Prof. of Civ. Engrg.; Univ. of Calif. at Berkeley, Berkeley, Calif.,

Serial Information: Journal of the Engineering Mechanics Division, 1980, Vol. 106, Issue 6, Pg. 1195-1213

Document Type: Journal Paper


Stationary responses of single-and multi-degree-of-freedom structures subjected to stationary input excitations are studied. Using a modal superposition prodedure, closed-form solutions for the first three spectral moments of response to white-noise and filtered white-noise inputs are derived. These solutions are in terms of cross-modal contributions and explicitly account for the correlation between modal responses of multi-degree structures; thus, they are applicable to structures with closely spaced frequencies. Speical attention is given a excitations which are typical of earthquake ground motions. Various quantities of response can be obtained in terms of the three spectral moments. These include mean zero-crossing rate and mean, variance, and distribution of peak response over a specified duration. In this regard, improved, semi-empirical relations for the mean and variance of the peak of a stationary Gaussian process are developed. Results from study demonstrate range of applicability of white-noise model as an approximation for wide-band inputs.

Subject Headings: Noise pollution | Structural response | Stationary processes | Excitation (physics) | Ground motion | Gaussian process | Degrees of freedom | Closed form solutions

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