Frequency response functions: validity and usefulness in nonlinear system identification
type: Item
instance of: scholarly article
zbMATH Open document ID: 1058.93003
author: Geoffrey R. Tomlinson
publication date: 2002-06-18T00:00:00Z
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 93B15
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 1699646
MaRDI profile type: Publication
OpenAlex ID: W2025306981
DOI: 10.1002/1521-4001(200102)81:2%3C119::AID-ZAMM119%3E3.0.CO;2-T
full work available at URL: https://doi.org/10.1002/1521-4001(200102)81:2%3C119::aid-zamm119%3E3.0.co
title: Frequency response functions: validity and usefulness in nonlinear system identification
published in: ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
review text: The paper deals with characterising nonlinear structures which can be represented by polynomial equations. It considers the role of Higher Order Frequency Response Functions (HFRF). The author studies Volterra series when the input is a harmonic function and he obtains the output which depends on certain Frequency Reponse Functions (FRF). This equation shows that the classical first order transfer function is equal to the classical first order FRF only for linear systems. The result is physically interpreted. The theoretical result can be applied experimentally very simply to measure the approximate HFRF.NEWLINENEWLINE The transfer functions can offer more insight into the type of nonlinearities present in dynamical structural testing.
reviewed by: Werner H. Schmidt
description: scientific article; zbMATH DE number 1699646