Spectral Moments and Pre-Envelope Covariances of Nonseparable Processes

[+] Author and Article Information
Mario Di Paola

Dipartimento di Ingegneria Strutturale e Geotecnica, Universita di Palermo, Viale delle Scienze, 90128 Palermo, Italy

Giovanni Petrucci

Istituto di Costruzione di Macchine, Universita di Palermo, Viale delle Scienze, 90128 Palermo, Italy

J. Appl. Mech 57(1), 218-224 (Mar 01, 1990) (7 pages) doi:10.1115/1.2888307 History: Received November 10, 1987; Revised January 06, 1989; Online March 31, 2008


A critical review of the definition of the spectral moments of a stochastic process in the nonstationary case is presented. An adequate time-domain representation of the spectral moments in the stationary case is first established, showing that the spectral moments are related to the variances of the stationary analytical pre-envelope processes. The extension to the nonstationary case is made in the time domain evaluating the covariances of the nonstationary pre-envelope showing the differences between the proposed definition and the classical one made introducing the evolutionary power.

Copyright © 1990 by The American Society of Mechanical Engineers
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