Research Article
Dec 1980
Structural Response to Stationary Excitation
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 106, Issue 6
Abstract
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.
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Published In
Journal of the Engineering Mechanics Division
Volume 106 • Issue 6 • December 1980
Pages: 1195 - 1213
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© 1980 American Society of Civil Engineers.
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Published in print: Dec 1980
Published online: Feb 3, 2021
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Authors
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Armen Der Kiureghian, AM.ASCE
Asst. Prof. of Civ. Engrg., Univ. of California at Berkeley, Berkeley, Calif.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.