Limit Cycle Periods in Damage Detection

Dionisio Bernal, Esmaeil Memarzadeh, Martin Dalgaard Ulriksen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

This paper introduces a damage detection scheme based on changes in the period of limit cycles (LC) realized by nonlinear output feedback. The parameterized feedback law is selected to make the dynamic equilibrium of the actuated coordinate approximate that of a generalized van der Pol oscillator and potential model related difficulties are avoided by fixing the parameters from experimental results. It is found that not all sensor arrangements are suitable for generating a LC in closed-loop and methodology to determine which arrangements are viable is presented. Numerical results show that LC periods are adequately stable with respect to noise and system changes from environmental effects and have sensitivity to localized damage that is often orders of magnitude larger than those of the modal frequencies.
Original languageEnglish
JournalMechanical Systems and Signal Processing
ISSN0888-3270
Publication statusSubmitted - 2020

Cite this

Bernal, D., Memarzadeh, E., & Ulriksen, M. D. (2020). Limit Cycle Periods in Damage Detection. Manuscript submitted for publication.
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Limit Cycle Periods in Damage Detection. / Bernal, Dionisio; Memarzadeh, Esmaeil; Ulriksen, Martin Dalgaard.

In: Mechanical Systems and Signal Processing, 2020.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Limit Cycle Periods in Damage Detection

AU - Bernal, Dionisio

AU - Memarzadeh, Esmaeil

AU - Ulriksen, Martin Dalgaard

PY - 2020

Y1 - 2020

N2 - This paper introduces a damage detection scheme based on changes in the period of limit cycles (LC) realized by nonlinear output feedback. The parameterized feedback law is selected to make the dynamic equilibrium of the actuated coordinate approximate that of a generalized van der Pol oscillator and potential model related difficulties are avoided by fixing the parameters from experimental results. It is found that not all sensor arrangements are suitable for generating a LC in closed-loop and methodology to determine which arrangements are viable is presented. Numerical results show that LC periods are adequately stable with respect to noise and system changes from environmental effects and have sensitivity to localized damage that is often orders of magnitude larger than those of the modal frequencies.

AB - This paper introduces a damage detection scheme based on changes in the period of limit cycles (LC) realized by nonlinear output feedback. The parameterized feedback law is selected to make the dynamic equilibrium of the actuated coordinate approximate that of a generalized van der Pol oscillator and potential model related difficulties are avoided by fixing the parameters from experimental results. It is found that not all sensor arrangements are suitable for generating a LC in closed-loop and methodology to determine which arrangements are viable is presented. Numerical results show that LC periods are adequately stable with respect to noise and system changes from environmental effects and have sensitivity to localized damage that is often orders of magnitude larger than those of the modal frequencies.

M3 - Journal article

JO - Mechanical Systems and Signal Processing

JF - Mechanical Systems and Signal Processing

SN - 0888-3270

ER -