NEHRP Clearinghouse
- Title
- On Response of Structures to Stationary Excitation.
- File
- PB80166929.pdf
- Author(s)
- Kiureghian, A. D.
- Source
- National Science Foundation, Washington, DC., December 1979, 43 p.
- Identifying Number(s)
- UCB/EERC-79/32
- Abstract
- Stationary responses of single- and multi-degree-of-freedom structures subjected to stationary input excitations are studied. Using a modal superposition procedure, closed form solutions for the first three spectral moments of response to white-noise and filtered white-noise inputs are derived. These solutions account for the correlation between modal responses of multi-degree structures; thus, they are applicable to structures with closely spaced modes. Special attention is given to excitations which are typical of earthquake ground motions. Various quantities of response can be obtained in terms of the three spectral moments. These include the mean squares of the response and its time derivative and, in the special case of Gaussian response, the mean zero-crossing rate and the mean, the variance, and the distribution of the 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 the study demonstrate the range of applicability of the white-noise model as an approximation for wide-band inputs.
- Keywords
- Structures; Seismic design; Random noise; White noise; Probability distribution functions; Mathematical models; Dynamic response; Ground motion; Earthquake engineering; Degrees of freedom; Earthquakes; Dynamic structural analysis