Dynamics and vibrations of structures with bonded piezoelectric strips subjected to mechanical and unsteady aerodynamic loads

Abstract

This article presents an analysis of the dynamics of damaged structures with bonded piezoelectric strips executing flexural oscillations generated by mechanical loads, piezoelectric actuators or unsteady aerodynamic loads. These oscillations can be used to detect the presence of cracks for structural health monitoring. The proposed method of crack detection uses pairs of piezoelectric strip sensors bonded on the opposite sides of the structure and is based on the fact that the presence of a crack causes a difference between the strains measured by the two sensors of a pair. The structural analysis presented in this article uses a non-linear model for the cracks and a finite-element formulation for the piezoelectric strips coupled with the structure. A panel method is used to determine the unsteady aerodynamic loads acting on the oscillating wing structure. This study includes the dynamic analysis in the frequency domain of a cracked plate undergoing forced flexural vibrations in a range of frequencies generated by a pair of piezoelectric actuators. The dynamic analysis in the time domain is also performed for the oscillating structures with piezoelectric strips subjected to mechanical or unsteady aerodynamic loads. It was found that this method is quite effective in detecting cracks in the wing structures subjected to oscillatory aerodynamic loads.

Keywords

dynamics of structures crack detection piezoelectric sensors and actuators structural health monitoring

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References

Doebling

S. W.

Farrar

C. R.

Prime

M. B.

, ‘A summary review of vibration-based damage identification methods’ Shock Vib. Dig. 30 (1991): 91–105.

Sohn

Farrar

C. R.

Hemez

F. M.

Shunk

D. D.

Stinemates

D. W.

Nadler

, ‘A review of structural health monitoring literature: 1996–2001’ (2003): Los Alamos National Laboratory report, LA-13976-MS.

Masson

Micheau

Pasco

Thomas

Brailoski

Meunier

Peter

Y.-A.

Mateescu

Misra

Mrad

Pinsonnault

Cambron

, ‘Smart technologies for structural health monitoring of aerospace structures’ In Proceedings of the Cansmart 2006 International Workshop, Smart Materials and Structures, Toronto, ON, Canada, October 2006, pp. 1–12.

Rees

Chiu

W. K.

Jones

, ‘A numerical study of crack monitoring in patched structures using a piezoelectric sensor’ Smart Mater. Struct. 1 (1991): 202–205.

Kwon

Y. W.

Lannamann

D. L.

, ‘Dynamic numerical modeling and simulation of interfacial cracks in sandwich structures for damage detection’ J. Sandwich Struct. Mater. 4 (2002): 175–199.

Lingyu

Yu.

Giurgiutiu

, ‘Multi-mode damage detection methods with piezoelectric wafer active sensors’ J. Intell. Mater. Syst. Struct. 20 (2002): 1329–1341.

Giurgiutiu

Rogers

C. A.

, ‘Modeling of the electromechanical impedance response of a damaged composite beam’ In Proceedings of the ASME Winter Annual Meeting, Aerospace and Materials Divisions, Adaptive Structures and Material Systems Symposium, Nashville, TN, 2000, AD-Vol. 87, pp. 39–46.

Zagrai

A. N.

Giurgiutiu

, ‘Electro-mechanical impendance method for crack detection in thin plates’ J. Intell. Mater. Syst. Structs 12 (2002): 709–718.

Liu

W. P.

Giurgiutiu

, ‘Finite element simulation of piezoelectric wafer active sensors based structural health monitoring’ In Proceedings of the ASME 2007 International Mechanical Engineering Congress and Exposition (IMECE2007), Seattle, Washington, November 2007, pp. 715–726.

10.

Liu

Martin

Kitipornchai

, ‘Modelling the input-output behaviour of piezoelectric structural health monitoring systems for composite plates’ Smart Mater. Struct. 12 (2002): 836–844.

11.

Y. Y.

Cheng

L. H.

Yam

L. H.

Yan

Y. J.

, ‘Numerical modeling of a damaged plate with piezoelectric actuator’ Smart Mater. Struct. 12 (2002): 524–532.

12.

Wang

Quek

S. T.

Liew

K. M.

, ‘On the repair of a cracked beam with a piezoelectric patch’ Smart Mater. Struct. 11 (2002): 404–410.

13.

Sinha

J. K.

Friswell

M. I.

Edwards

, ‘Simplified models for the location of cracks in beam structures using measured vibration data’ J. Sound Vib. 251 (1) (2002): 14–38.

14.

Lee

C.-K.

Chiang

W.-W.

O'Sullivan

T. C.

, ‘Piezoelectric modal sensors and actuators achieving critical damping on a cantilever plate’ In Proceedings of the AIAA/ASME/ASCE/AHS/ASC 30th Structures, Structural Dynamics and Materials Conference, Mobile, Alabama, USA, April 1989, pp. 2018–2026.

15.

Van Popel

Misra

A. K.

, ‘Active control of space structures using bonded piezoelectric film actuators’ In Proceedings of the AIAA/AAS Astrodynamics Conference, Hilton Head Island, SC, 1992, pp. 328–341.

16.

Venneri

S. L.

Wada

B. K.

, ‘Overview of NASA's adaptive structure program’ In Proceedings of the 44th Congress of the International Astronautical Federation, Austria, 1993, pp. 1–13.

17.

Mateescu

Misra

A. K.

Shrivastava

, ‘Aeroelastic oscillations of a delta wing with piezoelectric strips in supersonic flow’ Math. Engng Sci. Aerosp. (Cambridge Sci. Pub. J.) 1 (2) (2010): 119–138.

18.

Yang

H. K.

Soh

C. K.

, ‘Analytical and semi-analytical solutions for vibration control of a cantilevered column using a piezoelectric actuator’ Smart Mater. Struct. 12 (2002): 193–203.

19.

Bruant

Coffignal

Lene

Verge

, ‘Active control of beam structures with piezoelectric actuators and sensors: modeling and simulation’ Smart Mater. Struct. 10 (2002): 404–408.

20.

ANSYS INC. ANSYS Release 9.0 documentation (2004).

21.

Preumont

, Vibration control of active structures-An introduction (Dordrecht, The Netherland, Boston, USA: Kluwer Academic Publishers 1997).