Triple correlation for detection of damage-related nonlinearities in composite structures

A Klepka, M Strączkiewicz, L Pieczonka, W J Staszewski, Leonid Gelman, F Aymerich, T Uhl

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Nonlinear effects in vibration responses are investigated for the undamaged composite plate and the composite plate with a delamination. The analysis is focused on higher harmonic generation in vibration responses for various excitation amplitude levels. This effect is investigated using the triple correlation technique. The dynamics of composite plate was modelled using two-dimensional finite elements and the classical lamination theory. The doubled-node approach was used to model delamination area. Mode shapes and natural frequencies were estimated based on numerical models. Next, the delamination divergence analysis was used to obtain relative displacements for delaminated plies. Experimental modal analysis test was carried out to verify the numerical models. The two strongest vibration modes as well as two vibration modes with the smallest and largest motion level of delaminated plies were selected for nonlinear vibration test. The Fisher criterion was employed to verify the effectiveness and confidence level of the proposed technique. The results show that the method can be used not only to reveal nonlinearities, but also to reliably detect impact damage in composites. These results are confirmed using the statistical analysis.
LanguageEnglish
Pages453-468
Number of pages16
JournalInternational Journal of Nonlinear Dynamics and Chaos in Engineering Systems
Volume81
Issue number1-2
Early online date12 Mar 2015
DOIs
Publication statusPublished - 2015
Externally publishedYes

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Composite structures
Delamination
Composite materials
Numerical models
Modal analysis
Harmonic generation
Natural frequencies
Statistical methods

Cite this

Klepka, A ; Strączkiewicz, M ; Pieczonka, L ; Staszewski, W J ; Gelman, Leonid ; Aymerich, F ; Uhl, T. / Triple correlation for detection of damage-related nonlinearities in composite structures. In: International Journal of Nonlinear Dynamics and Chaos in Engineering Systems. 2015 ; Vol. 81 , No. 1-2. pp. 453-468.
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abstract = "Nonlinear effects in vibration responses are investigated for the undamaged composite plate and the composite plate with a delamination. The analysis is focused on higher harmonic generation in vibration responses for various excitation amplitude levels. This effect is investigated using the triple correlation technique. The dynamics of composite plate was modelled using two-dimensional finite elements and the classical lamination theory. The doubled-node approach was used to model delamination area. Mode shapes and natural frequencies were estimated based on numerical models. Next, the delamination divergence analysis was used to obtain relative displacements for delaminated plies. Experimental modal analysis test was carried out to verify the numerical models. The two strongest vibration modes as well as two vibration modes with the smallest and largest motion level of delaminated plies were selected for nonlinear vibration test. The Fisher criterion was employed to verify the effectiveness and confidence level of the proposed technique. The results show that the method can be used not only to reveal nonlinearities, but also to reliably detect impact damage in composites. These results are confirmed using the statistical analysis.",
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Triple correlation for detection of damage-related nonlinearities in composite structures. / Klepka, A; Strączkiewicz, M; Pieczonka, L; Staszewski, W J; Gelman, Leonid; Aymerich, F; Uhl, T.

In: International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, Vol. 81 , No. 1-2, 2015, p. 453-468.

Research output: Contribution to journalArticle

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T1 - Triple correlation for detection of damage-related nonlinearities in composite structures

AU - Klepka, A

AU - Strączkiewicz, M

AU - Pieczonka, L

AU - Staszewski, W J

AU - Gelman, Leonid

AU - Aymerich, F

AU - Uhl, T

PY - 2015

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N2 - Nonlinear effects in vibration responses are investigated for the undamaged composite plate and the composite plate with a delamination. The analysis is focused on higher harmonic generation in vibration responses for various excitation amplitude levels. This effect is investigated using the triple correlation technique. The dynamics of composite plate was modelled using two-dimensional finite elements and the classical lamination theory. The doubled-node approach was used to model delamination area. Mode shapes and natural frequencies were estimated based on numerical models. Next, the delamination divergence analysis was used to obtain relative displacements for delaminated plies. Experimental modal analysis test was carried out to verify the numerical models. The two strongest vibration modes as well as two vibration modes with the smallest and largest motion level of delaminated plies were selected for nonlinear vibration test. The Fisher criterion was employed to verify the effectiveness and confidence level of the proposed technique. The results show that the method can be used not only to reveal nonlinearities, but also to reliably detect impact damage in composites. These results are confirmed using the statistical analysis.

AB - Nonlinear effects in vibration responses are investigated for the undamaged composite plate and the composite plate with a delamination. The analysis is focused on higher harmonic generation in vibration responses for various excitation amplitude levels. This effect is investigated using the triple correlation technique. The dynamics of composite plate was modelled using two-dimensional finite elements and the classical lamination theory. The doubled-node approach was used to model delamination area. Mode shapes and natural frequencies were estimated based on numerical models. Next, the delamination divergence analysis was used to obtain relative displacements for delaminated plies. Experimental modal analysis test was carried out to verify the numerical models. The two strongest vibration modes as well as two vibration modes with the smallest and largest motion level of delaminated plies were selected for nonlinear vibration test. The Fisher criterion was employed to verify the effectiveness and confidence level of the proposed technique. The results show that the method can be used not only to reveal nonlinearities, but also to reliably detect impact damage in composites. These results are confirmed using the statistical analysis.

KW - Composites

KW - Damage-related nonlinearities

KW - Impact damage detection

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