Calculation of Power Spectra from Response Spectra
- 1 February 1983
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Engineering Mechanics
- Vol. 109 (1) , 357-372
- https://doi.org/10.1061/(asce)0733-9399(1983)109:1(357)
Abstract
A method is presented to determine the power spectral density functions from given smooth response spectra. It is assumed that the underlying excitations constitute a stationary Gaussian random process. The relationship between the response spectrum and the power spectral density function is established by the probability distribution of the extreme values. The power spectral density function is discretized by parameters and piecewise polynomials and the free parameters are determined iteratively by a least square fit. Due to this discretization all required integrations can be carried out analytically. It is also possible to obtain a least square fit value of the duration of the stationary output process. The numerical examples include the calculation of the power spectral density functions for selected response spectra.Keywords
This publication has 7 references indexed in Scilit:
- Analytical evaluation of modal covariance matricesComputer Methods in Applied Mechanics and Engineering, 1980
- Die Methode der Antwortspektren aus der Sicht der probabilistischen TragwerksdynamikPublished by Springer Nature ,1979
- On the Distribution of the First-Passage Time for Normal Stationary Random ProcessesJournal of Applied Mechanics, 1975
- Seismic Design Spectra for Nuclear Power PlantsJournal of the Power Division, 1973
- NOTE ON THE DISTRIBUTION OF THE LARGEST VALUE OF A RANDOM FUNCTION WITH APPLICATION TO GUST LOADING.Proceedings of the Institution of Civil Engineers, 1964
- Earthquake analysis by response spectrum superpositionBulletin of the Seismological Society of America, 1962
- Behavior of Structures During EarthquakesJournal of the Engineering Mechanics Division, 1959