Higher Order Frequency Response Functions in Nonlinear System Identification
Tomlinson, G.R. and Billings, S.A.
(1991)
Higher Order Frequency Response Functions in Nonlinear System Identification.
Research Report.
Acse Report 432
.
Dept of Automatic Control and System Engineering. University of Sheffield
Abstract
This paper describes higher order frequency response functions (FRF's) and their role in the identification of nonlinear systems. Higher order FRF's only exist for nonlinear systems and have the property that they visually demonstrate how energy is transferred from one frequency to another. a unique characteristic of nonlinear structures and systems. The determination of these FRF's can be approached from two principle directions: using sine excitation by directly measuring the higher order transfer functions which approximate to higher order FRF's or using nonlinear time series methods and probing these to extract the FRF's. In this paper, these approaches are described in relation to simple nonlinear problems and their role in future system methodologies discussed. It is shown that if reliable higher order spectra can be obtained they offer a positive and useful means of practically diagnosing a class of nonlinear structural dynamics problems.
Metadata
Item Type:
Monograph
Authors/Creators:
Tomlinson, G.R.
Billings, S.A.
Copyright, Publisher and Additional Information:
The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
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