Generation of time histories with a specified auto spectral density, skewness, and kurtosis

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Some dynamic environments are characterized by time histories that are not Gaussian. A more accurate simulation of these environments can be generated if a realization of a non Gaussian time history can be reproduced which has a specified auto spectral density (also called power spectral density) and a specified skewness and kurtosis (not necessarily the skewness and kurtosis of a Gaussian time history). The mean square of the waveform is reproduced if the spectrum is reproduced. Modern waveform reproduction techniques can be used to reproduce the realized waveform on an electrodynamic or electrohydraulic shaker. A method is presented for the ... continued below

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10 p.

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Smallwood, D.O. February 1, 1996.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 23 times . More information about this article can be viewed below.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

Some dynamic environments are characterized by time histories that are not Gaussian. A more accurate simulation of these environments can be generated if a realization of a non Gaussian time history can be reproduced which has a specified auto spectral density (also called power spectral density) and a specified skewness and kurtosis (not necessarily the skewness and kurtosis of a Gaussian time history). The mean square of the waveform is reproduced if the spectrum is reproduced. Modern waveform reproduction techniques can be used to reproduce the realized waveform on an electrodynamic or electrohydraulic shaker. A method is presented for the generation of realizations of zero mean non Gaussian random time histories with a specified auto spectral density, skewness, and kurtosis. Kurtosis, defined in this paper as E[{chi}{sup 4}]/E{sup 2}[{chi}{sup 2}], greater than 3 can be realized. Realizations of the random process are generated with a generalization of shot noise.

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10 p.

Notes

OSTI as DE96007331

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  • 42. annual technical meeting and exposition of the Institute of Environmental Sciences, Orlando, FL (United States), 12-17 May 1996

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  • Other: DE96007331
  • Report No.: SAND--95-1984C
  • Report No.: CONF-960538--3
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 224249
  • Archival Resource Key: ark:/67531/metadc669005

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  • February 1, 1996

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  • June 29, 2015, 9:42 p.m.

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  • April 14, 2016, 7:45 p.m.

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Smallwood, D.O. Generation of time histories with a specified auto spectral density, skewness, and kurtosis, article, February 1, 1996; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc669005/: accessed December 15, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.