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Proceedings Paper

Nonlinearity detection in multiple degree-of-freedom systems using the auto-bispectral density
Author(s): Jonathan M. Nichols; Pier Marzocca; Attilio Milanese
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Paper Abstract

Higher-order spectra (HOS) appear often in the analysis and identification of nonlinear systems. The auto-bispectrum is one example of a HOS and is frequently used in the analysis of stationary structural response data to detect the presence of structural nonlinearities. In this work we derive an expression for the auto-bispectrum of a multi-degree-of-freedom structure with quadratic nonlinearities. A nonlinearity detection strategy, based on estimates of the bispectrum, is then described. The performance of several such detectors is quantified using Receiver Operator Characteristic (ROC) curves illustrating the trade-off between Type-I error and power of detection (1-Type-II error).

Paper Details

Date Published: 10 April 2008
PDF: 8 pages
Proc. SPIE 6935, Health Monitoring of Structural and Biological Systems 2008, 69350N (10 April 2008); doi: 10.1117/12.776322
Show Author Affiliations
Jonathan M. Nichols, U.S. Naval Research Lab. (United States)
Pier Marzocca, Clarkson Univ. (United States)
Attilio Milanese, Clarkson Univ. (United States)

Published in SPIE Proceedings Vol. 6935:
Health Monitoring of Structural and Biological Systems 2008
Tribikram Kundu, Editor(s)

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