A hybrid damage detection method using dynamic-reduction transformation matrix and modal force error

Mousavi, M; Gandomi, AH

A hybrid damage detection method using dynamic-reduction transformation matrix and modal force error

Mousavi, M

Gandomi, AH

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Publisher:: ELSEVIER SCI LTD
Publication Type:: Journal Article
Citation:: Engineering Structures, 2016, 111, pp. 425-434
Issue Date:: 2016-03-15

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Field	Value	Language
dc.contributor.author	Mousavi, M https://orcid.org/0000-0002-0436-5176
dc.contributor.author	Gandomi, AH
dc.date.accessioned	2022-08-12T20:48:17Z
dc.date.available	2022-08-12T20:48:17Z
dc.date.issued	2016-03-15
dc.identifier.citation	Engineering Structures, 2016, 111, pp. 425-434
dc.identifier.issn	0141-0296
dc.identifier.issn	1873-7323
dc.identifier.uri	http://hdl.handle.net/10453/160046
dc.description.abstract	Condensation methods are commonly used algorithms to fast computation of some low frequencies and corresponding mode shapes of structures by reducing a full rank domain to a restricted one. Hence, these methods are often termed as model reduction techniques. On the other hand, these methods have been used to develop damage detection techniques by several researchers. In this study, a new damage detection method is proposed which uses only one mode shape and its corresponding eigen-value of a structure to conduct damage detection. However, since the number of measured degrees of freedom (DOFs) is most of the time restricted in practice, an iterative hybrid method is developed using dynamic-condensation scheme to carry out damage detection in structures using incomplete modal data. The main characteristic of the proposed method is that measuring the rotational DOFs, which is most of the time very expensive and inaccurate, is not needed. To examine the capability of the proposed method, several examples are studied. In the illustrative example of a cantilever beam, it is assumed that just translational DOFs corresponding to the first mode are available. The capability of the proposed method in damage detection in the cantilever beam and model updating is completely examined in this example. Also a modal assurance criterion is applied to evaluate the robustness of the method in updating the mode shapes. Finally, the ability of the proposed method in damage detection in 2D and 3D frame structures is assessed. Interestingly, the results in most of the cases are exact even with the lack of measured translational DOFs and also demonstrate that the proposed method is completely successful in conducing damage detection in structures.
dc.language	English
dc.publisher	ELSEVIER SCI LTD
dc.relation.ispartof	Engineering Structures
dc.relation.isbasedon	10.1016/j.engstruct.2015.12.033
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0905 Civil Engineering, 0912 Materials Engineering, 0915 Interdisciplinary Engineering
dc.subject.classification	Civil Engineering
dc.title	A hybrid damage detection method using dynamic-reduction transformation matrix and modal force error
dc.type	Journal Article
utslib.citation.volume	111
utslib.for	0905 Civil Engineering
utslib.for	0912 Materials Engineering
utslib.for	0915 Interdisciplinary Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access	*
dc.date.updated	2022-08-12T20:48:16Z
pubs.publication-status	Published
pubs.volume	111

Abstract:

Condensation methods are commonly used algorithms to fast computation of some low frequencies and corresponding mode shapes of structures by reducing a full rank domain to a restricted one. Hence, these methods are often termed as model reduction techniques. On the other hand, these methods have been used to develop damage detection techniques by several researchers. In this study, a new damage detection method is proposed which uses only one mode shape and its corresponding eigen-value of a structure to conduct damage detection. However, since the number of measured degrees of freedom (DOFs) is most of the time restricted in practice, an iterative hybrid method is developed using dynamic-condensation scheme to carry out damage detection in structures using incomplete modal data. The main characteristic of the proposed method is that measuring the rotational DOFs, which is most of the time very expensive and inaccurate, is not needed. To examine the capability of the proposed method, several examples are studied. In the illustrative example of a cantilever beam, it is assumed that just translational DOFs corresponding to the first mode are available. The capability of the proposed method in damage detection in the cantilever beam and model updating is completely examined in this example. Also a modal assurance criterion is applied to evaluate the robustness of the method in updating the mode shapes. Finally, the ability of the proposed method in damage detection in 2D and 3D frame structures is assessed. Interestingly, the results in most of the cases are exact even with the lack of measured translational DOFs and also demonstrate that the proposed method is completely successful in conducing damage detection in structures.

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http://hdl.handle.net/10453/160046