A refined shear lag model for adhesively bonded piezo-impedance transducers

Abstract

The performance (sensing/actuating) of a piezotransducer highly depends upon the ability of the bond layer to transfer the stress and strain (through shear lag mechanism) between the transducer and the structure. Therefore, the coupled electromechanical response of the piezotransducer should consider the effect of dynamic behaviour, geometry and composition of the adhesive layer used to bond the transducer patch on the structure. This article presents a new refined analytical model for inclusion of the shear lag effect in modelling of adhesively bonded piezoelectric ceramic (lead zirconate titanate) patches for consideration in the electromechanical impedance technique. The previous models neglected the inertial term in shear lag formulations for simplicity. The present refined model, on the other hand, considers the inertial and the shear lag effects simultaneously, and is therefore more rigorous and complete. In this article, the formulations are first derived for one-dimensional case, and then extended to two-dimensional lead zirconate titanate–structure interaction. The overall results are found to be in better proximity to experimental observations. The refined formulations are employed for a detailed stress analysis of the bond layer. The article concludes with a parametric study on the influence of various sensor parameters on the electromechanical impedance signatures.

Keywords

Electromechanical impedance technique adhesive bond shear lag conductance susceptance structural health monitoring

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References

Abe

Park

Inman

(2002). Impedance-based monitoring of stress in thin structural members. In: Yuji

(ed.) Proceeding of 11th international conference on adaptive structures and technologies. Nagoya (Japan), CRC Press, pp. 285–292.

Ayres

Lalande

Chaudhry

. (1998) Qualitative impedance-based health monitoring of civil infrastructures. Smart Materials and Structures 7(5): 599–605.

Bhalla

Soh

(2004a) Structural health monitoring by piezo-impedance transducers I: modelling. Journal of Aerospace Engineering 17(4): 154–165.

Bhalla

Soh

(2004b) Structural health monitoring by piezo-impedance transducers II: applications. Journal of Aerospace Engineering 17(4): 166–175.

Bhalla

Soh

(2004c) Impedance based modelling for adhesively bonded piezo-transducers. Journal of Intelligent Material Systems and Structures 15(12): 955–972.

Bhalla

Gupta

Bansal

. (2009a) Ultra low cost adaptations of electro-mechanical impedance technique for structural health monitoring. Journal of Intelligent Material Systems and Structures 20(8): 991–999.

Bhalla

Kumar

Gupta

. (2009b) Simplified impedance model for adhesively bonded piezo –impedance transducers. Journal of Aerospace Engineering 22(4): 373–382.

Ceramic

(2003) Available at: http://www.piceramic.de

Crawley

De Luis

(1987) Use of piezoelectric actuators as elements of intelligent structures. AIAA Journal 25(10): 1373–1385.

10.

De Faria

(2003) The effect of finite thickness bonding on the sensing effectiveness of piezoelectric patches. Smart Materials and Structures 12: N5–N8.

11.

Dugani

. (2009) Dynamic behaviour of structure-mounted disk-shape piezoelectric sensors including the adhesive layer. Journal of Intelligent Material Systems and Structures 20: 1553–1564.

12.

Liang

Sun

Rogers

(1994) Coupled electro-mechanical analysis of adaptive material systems – determination of the actuator power consumption and system energy transfer. Journal of Intelligent Material Systems and Structures 5: 12–20.

13.

Lim

Bhalla

Soh

(2006) Structural identification and damage diagnosis using self-sensing piezo-impedance transducers. Smart Materials and Structures 15(4): 987–995.

14.

Ong

Yang

Wong

. (2002) The effects of adhesive on the electro-mechanical response of a piezoceramic transducer coupled smart system. In: Proceedings of the ISSS-SPIE international conference on smart materials, structures and systems, IISc, Bangalore, Karnataka, India, 12–14 December, pp. 191–197.

15.

Overly

TGS

Park

Farinholt Kevin

. (2008) Development of extremely compact impedance-based wireless sensing device. Smart Materials and structures 17: 1–9.

16.

Park

Inman

(2007) Structural health monitoring using piezoelectric impedance measurements. Philosophical Transaction of Royal Society A 365: 373–392.

17.

Park

Cudney

Inman

(2000a) Impedance-based health monitoring of civil structural components. Journal of Infrastructures Systems 6: 153–160.

18.

Park

Cudney

Inman

(2000b) An integrated health monitoring technique using structural impedance sensors. Journal Intelligent Material Systems and Structures 11: 448–455.

19.

Park

Yun

Roh

. (2006) PZT-based active damage detection techniques for steel bridge components. Smart Materials and Structures 15(4): 957–966.

20.

Qing

Chan

Beard

. (2006) Effect of adhesive on performance of piezoelectric elements used to monitor structural health. International Journal of Adhesion and Adhesives 26(8): 622–628.

21.

Shanker

Bhalla

Gupta

(2011) Dual use of PZT Patches as sensors in global dynamic and local EMI techniques for structural health monitoring. Journal of Intelligent Material Systems and Structures 22(16): 1841–1856.

22.

Sirohi

Chopra

(2000) Fundamental understanding of piezoelectric strain sensors. Journal of Intelligent Material Systems and Structures 11(4): 246–257.

23.

Soh

Tseng

KKH

Bhalla

. (2000) Performance of smart piezoceramic patches in health monitoring of a RC Bridge. Smart Materials and Structures 9(4): 533–542.

24.

Sun

Chaudry

Rogers

. (1995) Automated real-time structure health monitoring via signature pattern recognition. In: Proceedings of SPIE, San Diego, CA, 27 February–1 March, pp. 236–247. SPIE.

25.

Wang

Zeng

(2008) Enhanced interface stress analysis of piezoelectric smart beams. Smart Structure and Materials 17: 1–12.

26.

Liu

(2002) A modified electro-mechanical impedance model of piezoelectric actuator-sensors for debonding detection of composite patches. Journal of Intelligent Material Systems and Structures 13(6): 389–396.

27.

Zhou

Liang

Rogers

(1996) An impedance-based system modelling approach for induced strain actuator-driven structures. Journal of Vibrations and Acoustics 118(3): 323–331.