Investigations of Mode Shapes of Closely Spaced Modes from a Lattice Tower Identified Using Stochastic Subspace Identification

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

View graph of relations

Details

Original languageEnglish
Title of host publicationExperimental Vibration Analysis for Civil Engineering Structures
EditorsMaria Pina Limongelli, Pier Francesco Giordano, Carmelo Gentile, Said Quqa, Alfredo Cigada
Pages529-538
Number of pages10
ISBN (electronic)978-3-031-39109-5
Publication statusPublished - 2023

Publication series

NameLecture Notes in Civil Engineering
Volume432 LNCE
ISSN (Print)2366-2557
ISSN (electronic)2366-2565

Abstract

In this work, the complex mode shapes of closely spaced modes of a slender lattice tower structure identified with stochastic subspace identification (SSI) are investigated. The SSI delivers its results in the form of complex eigenvalues and eigenvectors. For a proportionally damped structure, the mode shape components of a single mode shape lie almost on a line in the complex plane, referred to as the mean phase. For closely spaced modes it is known, that the mode shape components are not necessarily on a line in the complex plane. The mean phase deviation as an identification quality criterion for the identification of mode shapes has less significance in connection with close modes, so that a different examination of these mode shapes is necessary. This study is performed using experimental data of a lattice tower under environmental variability. For the mode shapes of the closely spaced modes of the structure, two dominant phases are observed in the complex plane corresponding to the two measurement directions. The influence of the environmental conditions and different structural states of the structure on the corresponding mode shapes is investigated. A new approach in dealing with complex mode shapes of closely spaced modes was developed and allows a better interpretation of the identification results and can be useful in assessing the state of the structure.

Keywords

    SSI, closely spaced modes, complex mode shapes, lattice tower

ASJC Scopus subject areas

Cite this

Investigations of Mode Shapes of Closely Spaced Modes from a Lattice Tower Identified Using Stochastic Subspace Identification. / Liesecke, Leon; Jonscher, Clemens; Grießmann, Tanja et al.
Experimental Vibration Analysis for Civil Engineering Structures. ed. / Maria Pina Limongelli; Pier Francesco Giordano; Carmelo Gentile; Said Quqa; Alfredo Cigada. 2023. p. 529-538 (Lecture Notes in Civil Engineering; Vol. 432 LNCE).

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Liesecke, L, Jonscher, C, Grießmann, T & Rolfes, R 2023, Investigations of Mode Shapes of Closely Spaced Modes from a Lattice Tower Identified Using Stochastic Subspace Identification. in MP Limongelli, PF Giordano, C Gentile, S Quqa & A Cigada (eds), Experimental Vibration Analysis for Civil Engineering Structures. Lecture Notes in Civil Engineering, vol. 432 LNCE, pp. 529-538. https://doi.org/10.1007/978-3-031-39109-5_54
Liesecke, L., Jonscher, C., Grießmann, T., & Rolfes, R. (2023). Investigations of Mode Shapes of Closely Spaced Modes from a Lattice Tower Identified Using Stochastic Subspace Identification. In M. P. Limongelli, P. F. Giordano, C. Gentile, S. Quqa, & A. Cigada (Eds.), Experimental Vibration Analysis for Civil Engineering Structures (pp. 529-538). (Lecture Notes in Civil Engineering; Vol. 432 LNCE). https://doi.org/10.1007/978-3-031-39109-5_54
Liesecke L, Jonscher C, Grießmann T, Rolfes R. Investigations of Mode Shapes of Closely Spaced Modes from a Lattice Tower Identified Using Stochastic Subspace Identification. In Limongelli MP, Giordano PF, Gentile C, Quqa S, Cigada A, editors, Experimental Vibration Analysis for Civil Engineering Structures. 2023. p. 529-538. (Lecture Notes in Civil Engineering). Epub 2023 Aug 2. doi: 10.1007/978-3-031-39109-5_54
Liesecke, Leon ; Jonscher, Clemens ; Grießmann, Tanja et al. / Investigations of Mode Shapes of Closely Spaced Modes from a Lattice Tower Identified Using Stochastic Subspace Identification. Experimental Vibration Analysis for Civil Engineering Structures. editor / Maria Pina Limongelli ; Pier Francesco Giordano ; Carmelo Gentile ; Said Quqa ; Alfredo Cigada. 2023. pp. 529-538 (Lecture Notes in Civil Engineering).
Download
@inbook{27c39949d63a442ab611d8080781af42,
title = "Investigations of Mode Shapes of Closely Spaced Modes from a Lattice Tower Identified Using Stochastic Subspace Identification",
abstract = "In this work, the complex mode shapes of closely spaced modes of a slender lattice tower structure identified with stochastic subspace identification (SSI) are investigated. The SSI delivers its results in the form of complex eigenvalues and eigenvectors. For a proportionally damped structure, the mode shape components of a single mode shape lie almost on a line in the complex plane, referred to as the mean phase. For closely spaced modes it is known, that the mode shape components are not necessarily on a line in the complex plane. The mean phase deviation as an identification quality criterion for the identification of mode shapes has less significance in connection with close modes, so that a different examination of these mode shapes is necessary. This study is performed using experimental data of a lattice tower under environmental variability. For the mode shapes of the closely spaced modes of the structure, two dominant phases are observed in the complex plane corresponding to the two measurement directions. The influence of the environmental conditions and different structural states of the structure on the corresponding mode shapes is investigated. A new approach in dealing with complex mode shapes of closely spaced modes was developed and allows a better interpretation of the identification results and can be useful in assessing the state of the structure.",
keywords = "SSI, closely spaced modes, complex mode shapes, lattice tower",
author = "Leon Liesecke and Clemens Jonscher and Tanja Grie{\ss}mann and Raimund Rolfes",
note = "This research has been financed by the Federal Ministry of Economic Affairs and Energy of the Federal Republic of Germany (project: German Research Facility for Wind Energy-Phase 2, FKZ 0325936I) and Deutsche Forschungsgemeinschaft (project: SFB 1463-Integrated Design and Operation Methodology for Offshore Megastructures). We would like to gratefully acknowledge their support.",
year = "2023",
doi = "10.1007/978-3-031-39109-5_54",
language = "English",
isbn = "978-3-031-39108-8",
series = "Lecture Notes in Civil Engineering",
pages = "529--538",
editor = "Limongelli, {Maria Pina} and Giordano, {Pier Francesco} and Carmelo Gentile and Said Quqa and Alfredo Cigada",
booktitle = "Experimental Vibration Analysis for Civil Engineering Structures",

}

Download

TY - CHAP

T1 - Investigations of Mode Shapes of Closely Spaced Modes from a Lattice Tower Identified Using Stochastic Subspace Identification

AU - Liesecke, Leon

AU - Jonscher, Clemens

AU - Grießmann, Tanja

AU - Rolfes, Raimund

N1 - This research has been financed by the Federal Ministry of Economic Affairs and Energy of the Federal Republic of Germany (project: German Research Facility for Wind Energy-Phase 2, FKZ 0325936I) and Deutsche Forschungsgemeinschaft (project: SFB 1463-Integrated Design and Operation Methodology for Offshore Megastructures). We would like to gratefully acknowledge their support.

PY - 2023

Y1 - 2023

N2 - In this work, the complex mode shapes of closely spaced modes of a slender lattice tower structure identified with stochastic subspace identification (SSI) are investigated. The SSI delivers its results in the form of complex eigenvalues and eigenvectors. For a proportionally damped structure, the mode shape components of a single mode shape lie almost on a line in the complex plane, referred to as the mean phase. For closely spaced modes it is known, that the mode shape components are not necessarily on a line in the complex plane. The mean phase deviation as an identification quality criterion for the identification of mode shapes has less significance in connection with close modes, so that a different examination of these mode shapes is necessary. This study is performed using experimental data of a lattice tower under environmental variability. For the mode shapes of the closely spaced modes of the structure, two dominant phases are observed in the complex plane corresponding to the two measurement directions. The influence of the environmental conditions and different structural states of the structure on the corresponding mode shapes is investigated. A new approach in dealing with complex mode shapes of closely spaced modes was developed and allows a better interpretation of the identification results and can be useful in assessing the state of the structure.

AB - In this work, the complex mode shapes of closely spaced modes of a slender lattice tower structure identified with stochastic subspace identification (SSI) are investigated. The SSI delivers its results in the form of complex eigenvalues and eigenvectors. For a proportionally damped structure, the mode shape components of a single mode shape lie almost on a line in the complex plane, referred to as the mean phase. For closely spaced modes it is known, that the mode shape components are not necessarily on a line in the complex plane. The mean phase deviation as an identification quality criterion for the identification of mode shapes has less significance in connection with close modes, so that a different examination of these mode shapes is necessary. This study is performed using experimental data of a lattice tower under environmental variability. For the mode shapes of the closely spaced modes of the structure, two dominant phases are observed in the complex plane corresponding to the two measurement directions. The influence of the environmental conditions and different structural states of the structure on the corresponding mode shapes is investigated. A new approach in dealing with complex mode shapes of closely spaced modes was developed and allows a better interpretation of the identification results and can be useful in assessing the state of the structure.

KW - SSI

KW - closely spaced modes

KW - complex mode shapes

KW - lattice tower

UR - http://www.scopus.com/inward/record.url?scp=85172284670&partnerID=8YFLogxK

U2 - 10.1007/978-3-031-39109-5_54

DO - 10.1007/978-3-031-39109-5_54

M3 - Contribution to book/anthology

SN - 978-3-031-39108-8

T3 - Lecture Notes in Civil Engineering

SP - 529

EP - 538

BT - Experimental Vibration Analysis for Civil Engineering Structures

A2 - Limongelli, Maria Pina

A2 - Giordano, Pier Francesco

A2 - Gentile, Carmelo

A2 - Quqa, Said

A2 - Cigada, Alfredo

ER -

By the same author(s)