Encyclopedia of Earthquake Engineering

2015 Edition
| Editors: Michael Beer, Ioannis A. Kougioumtzoglou, Edoardo Patelli, Siu-Kui Au

Stochastic Analysis of Linear Systems

  • Giuseppe MuscolinoEmail author
Reference work entry
DOI: https://doi.org/10.1007/978-3-642-35344-4_335


Evolutionary frequency response function; Evolutionary power spectral density function; Gaussian zero-mean random models of seismic accelerations; Non-geometric spectral moments; Stochastic analysis


The stochastic analysis of structural vibrations deals with the description and characterization of structural loads and responses that are modeled as stochastic processes. The probabilistic characterization of the input process could be extremely complex in time domain where the probability density functions depend on the autocorrelation functions which experimentally have to be specified over given set points. Since this approach is difficult to be used in applications, stochastic vibration analysis of structural linear systems subjected to Gaussian input processes is quite often performed in the frequency domain by means of the spectral analysis. This analysis is a very powerful tool for the analytical and experimental treatment of a large class of physical as well...

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© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Dipartimento di Ingegnria Civile, Informatica, Edile, Ambientale e Matematica ApplicataUniversità degli Studi di MessinaMessinaItaly