Nonlinearity detection in multiple degree-of-freedom systems using the auto-bispectral density

Jonathan M. Nichols; Pier Marzocca; Attilio Milanese

doi:10.1117/12.776322

10 April 2008 Nonlinearity detection in multiple degree-of-freedom systems using the auto-bispectral density

Jonathan M. Nichols, Pier Marzocca, Attilio Milanese

Proceedings Volume 6935, Health Monitoring of Structural and Biological Systems 2008; 69350N (2008) https://doi.org/10.1117/12.776322
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2008, San Diego, California, United States

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).

Citation Download Citation

Jonathan M. Nichols, Pier Marzocca, and Attilio Milanese "Nonlinearity detection in multiple degree-of-freedom systems using the auto-bispectral density", Proc. SPIE 6935, Health Monitoring of Structural and Biological Systems 2008, 69350N (10 April 2008); https://doi.org/10.1117/12.776322

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