Time-varying and non-linear dynamical system identification using the Hilbert transform

Michael Feldman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The objective of the paper is to explain a modern Hilbert transform method for analysis and identification of mechanical non-linear vibration structures in the case of quasiperiodic signals. This special kind of periodicity arises in experimental vibration signals. The method is based on the Hilbert transform of input and output signals in a time domain to extract the instantaneous dynamic structure characteristics. The paper focuses on the dynamic analysis and identification of three groups of dynamics systems: Forced vibrations of linear and non-linear SDOF systems excited with quasiperiodic force signal. Combined forced vibrations of quasiperiodic time varying linear and non-linear SDOF systems excited with harmonic signal. Combined self-excited and forced vibrations of non-linear SDOF systems excited with harmonic signal. The study focuses on signal processing techniques for non-linear system investigation, which enable us to estimate instantaneous system dynamic parameters (natural frequencies, damping characteristics and their dependencies on a vibration amplitude and frequency) for different kinds of system excitation.

Original languageEnglish
Title of host publicationProceedings of the ASME International Design Engineering Techn. Conferences and Computers and Information in Engineering Conferences - DETC2005
Subtitle of host publication20th Biennial Conf. on Mechanical Vibration and Noise
PublisherAmerican Society of Mechanical Engineers
Pages1309-1317
Number of pages9
ISBN (Print)0791847381, 9780791847381
DOIs
StatePublished - 2005
Externally publishedYes
EventDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Long Beach, CA, United States
Duration: 24 Sep 200528 Sep 2005

Publication series

NameProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
Volume1 B

Conference

ConferenceDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Country/TerritoryUnited States
CityLong Beach, CA
Period24/09/0528/09/05

Keywords

  • Envelope
  • Hilbert transform
  • Identification
  • Instantaneous frequency
  • Non-linear system

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