Time-frequency domain modal parameter estimation of time-varying structures using a two-step least square estimator

Si Da Zhou; Ward Heylen; Paul Sas; Li Liu

doi:10.1007/978-1-4614-2425-3_8

Time-frequency domain modal parameter estimation of time-varying structures using a two-step least square estimator

Si Da Zhou^*, Ward Heylen, Paul Sas, Li Liu

^*Corresponding author for this work

School of Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

Under natural stochastic excitations, responses of time-varying structures are always nonstationary stochastic signals, of which spectra change with time. This paper studies the time-dependent power spectrum density based on timefrequency analysis. Based on the time-dependent power spectrum density, a mathematical model of the time-frequency-domain two-step least square modal parameter estimator for time-varying structures is presented. In the first-step estimation, the modal parameters at each time instant are estimated using the least square complex frequency-domain method. Furthermore, the estimated modal parameters are sifted and sorted. Based on the sifted and sorted modal parameters, the time-varying resonance frequency, damping ratio and operational mode shapes are estimated in the second-step estimation. A numerical simulation example and a group of experiments validate this two-step least square modal parameter estimator for time-varying structures.

Original language	English
Title of host publication	Topics in Modal Analysis I - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012
Pages	65-75
Number of pages	11
DOIs	https://doi.org/10.1007/978-1-4614-2425-3_8
Publication status	Published - 2012
Event	30th IMAC, A Conference on Structural Dynamics, 2012 - Jacksonville, FL, United States Duration: 30 Jan 2012 → 2 Feb 2012

Publication series

Name	Conference Proceedings of the Society for Experimental Mechanics Series
Volume	5
ISSN (Print)	2191-5644
ISSN (Electronic)	2191-5652

Conference

Conference	30th IMAC, A Conference on Structural Dynamics, 2012
Country/Territory	United States
City	Jacksonville, FL
Period	30/01/12 → 2/02/12

Keywords

Modal parameter estimation
Time-frequency analysis
Time-varying structure
Two-step least square

Access to Document

10.1007/978-1-4614-2425-3_8

Cite this

Zhou, S. D., Heylen, W., Sas, P., & Liu, L. (2012). Time-frequency domain modal parameter estimation of time-varying structures using a two-step least square estimator. In Topics in Modal Analysis I - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012 (pp. 65-75). (Conference Proceedings of the Society for Experimental Mechanics Series; Vol. 5). https://doi.org/10.1007/978-1-4614-2425-3_8

@inproceedings{6bb9b3881a7c4c6ab01f8c310bdb8cbb,

title = "Time-frequency domain modal parameter estimation of time-varying structures using a two-step least square estimator",

abstract = "Under natural stochastic excitations, responses of time-varying structures are always nonstationary stochastic signals, of which spectra change with time. This paper studies the time-dependent power spectrum density based on timefrequency analysis. Based on the time-dependent power spectrum density, a mathematical model of the time-frequency-domain two-step least square modal parameter estimator for time-varying structures is presented. In the first-step estimation, the modal parameters at each time instant are estimated using the least square complex frequency-domain method. Furthermore, the estimated modal parameters are sifted and sorted. Based on the sifted and sorted modal parameters, the time-varying resonance frequency, damping ratio and operational mode shapes are estimated in the second-step estimation. A numerical simulation example and a group of experiments validate this two-step least square modal parameter estimator for time-varying structures.",

keywords = "Modal parameter estimation, Time-frequency analysis, Time-varying structure, Two-step least square",

author = "Zhou, {Si Da} and Ward Heylen and Paul Sas and Li Liu",

year = "2012",

doi = "10.1007/978-1-4614-2425-3_8",

language = "English",

isbn = "9781461424246",

series = "Conference Proceedings of the Society for Experimental Mechanics Series",

pages = "65--75",

booktitle = "Topics in Modal Analysis I - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012",

note = "30th IMAC, A Conference on Structural Dynamics, 2012 ; Conference date: 30-01-2012 Through 02-02-2012",

}

Zhou, SD, Heylen, W, Sas, P & Liu, L 2012, Time-frequency domain modal parameter estimation of time-varying structures using a two-step least square estimator. in Topics in Modal Analysis I - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012. Conference Proceedings of the Society for Experimental Mechanics Series, vol. 5, pp. 65-75, 30th IMAC, A Conference on Structural Dynamics, 2012, Jacksonville, FL, United States, 30/01/12. https://doi.org/10.1007/978-1-4614-2425-3_8

Time-frequency domain modal parameter estimation of time-varying structures using a two-step least square estimator. / Zhou, Si Da; Heylen, Ward; Sas, Paul et al.
Topics in Modal Analysis I - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012. 2012. p. 65-75 (Conference Proceedings of the Society for Experimental Mechanics Series; Vol. 5).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Time-frequency domain modal parameter estimation of time-varying structures using a two-step least square estimator

AU - Zhou, Si Da

AU - Heylen, Ward

AU - Sas, Paul

AU - Liu, Li

PY - 2012

Y1 - 2012

N2 - Under natural stochastic excitations, responses of time-varying structures are always nonstationary stochastic signals, of which spectra change with time. This paper studies the time-dependent power spectrum density based on timefrequency analysis. Based on the time-dependent power spectrum density, a mathematical model of the time-frequency-domain two-step least square modal parameter estimator for time-varying structures is presented. In the first-step estimation, the modal parameters at each time instant are estimated using the least square complex frequency-domain method. Furthermore, the estimated modal parameters are sifted and sorted. Based on the sifted and sorted modal parameters, the time-varying resonance frequency, damping ratio and operational mode shapes are estimated in the second-step estimation. A numerical simulation example and a group of experiments validate this two-step least square modal parameter estimator for time-varying structures.

AB - Under natural stochastic excitations, responses of time-varying structures are always nonstationary stochastic signals, of which spectra change with time. This paper studies the time-dependent power spectrum density based on timefrequency analysis. Based on the time-dependent power spectrum density, a mathematical model of the time-frequency-domain two-step least square modal parameter estimator for time-varying structures is presented. In the first-step estimation, the modal parameters at each time instant are estimated using the least square complex frequency-domain method. Furthermore, the estimated modal parameters are sifted and sorted. Based on the sifted and sorted modal parameters, the time-varying resonance frequency, damping ratio and operational mode shapes are estimated in the second-step estimation. A numerical simulation example and a group of experiments validate this two-step least square modal parameter estimator for time-varying structures.

KW - Modal parameter estimation

KW - Time-frequency analysis

KW - Time-varying structure

KW - Two-step least square

UR - http://www.scopus.com/inward/record.url?scp=84864009577&partnerID=8YFLogxK

U2 - 10.1007/978-1-4614-2425-3_8

DO - 10.1007/978-1-4614-2425-3_8

M3 - Conference contribution

AN - SCOPUS:84864009577

SN - 9781461424246

T3 - Conference Proceedings of the Society for Experimental Mechanics Series

SP - 65

EP - 75

BT - Topics in Modal Analysis I - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012

T2 - 30th IMAC, A Conference on Structural Dynamics, 2012

Y2 - 30 January 2012 through 2 February 2012

ER -

Zhou SD, Heylen W, Sas P, Liu L. Time-frequency domain modal parameter estimation of time-varying structures using a two-step least square estimator. In Topics in Modal Analysis I - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012. 2012. p. 65-75. (Conference Proceedings of the Society for Experimental Mechanics Series). doi: 10.1007/978-1-4614-2425-3_8

Time-frequency domain modal parameter estimation of time-varying structures using a two-step least square estimator

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this