An Investigation into the Characteristics of Nonlinear Frequency Response Functions, Part 2; New Analysis Methods Based on Symbolic Expansions and Graphical Techniques
Yue, R., Billings, S.A. and Zi, Qiang Lang
(2004)
An Investigation into the Characteristics of Nonlinear Frequency Response Functions, Part 2; New Analysis Methods Based on Symbolic Expansions and Graphical Techniques.
Research Report.
ACSE Research Report 855
.
Department of Automatic Control and Systems Engineering
Abstract
In Part 1 of this paper the concepts of input and output frequency subdomains were introduced to give insight into the relation between one dimensional and multi-dimensional frequency spaces. The visualisation of both magnitude and phase responses of third order generalised frequency response functions was also presented. In this, the secind part, symbolic expansion techniques are introduced and together with the results achieved in Part 1, yield new methods for analysing the properties of generalised frequency response functions. Case studies are included to illustrate the application of the new methods.
Metadata
Authors/Creators:
Yue, R.
Billings, S.A.
Zi, Qiang Lang
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.
Keywords:
Nonlinear Systems; Generalised Frequency Response Functions; Frequency Domain Analysis
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