Interfacial effect on the electromechanical behaviors of piezoelectric/elastic composite smart beams

Abstract

An efficient electromechanical coupling model is developed to analyze the effect of the interfacial properties on the mechanical behaviors of piezoelectric/elastic composite smart beams. The interface of the composite smart beams is assumed to be imperfectly bonded and is modeled by the shear-lag model. An asymptotic expansion approximation is employed to construct the electric potential distribution in the piezoelectric layer. The governing equation is derived for the piezoelectric/elastic composite smart beams taking into account the electromechanical coupling effect and the interfacial imperfection. In the numerical analysis, both the mechanical and the electrical loadings are considered. The mechanical behaviors of the composite smart beams are illustrated graphically for three types of boundary conditions: (a) clamped supported–freely supported (C-F), (b) clamped supported–hinged supported (C-H), and (c) hinged supported–hinged supported (H-H). The results show that the interfacial properties have significant effect on the mechanical behaviors of the piezoelectric/elastic composite smart beams. For mechanically actuated case, a larger interfacial imperfection causes a larger transverse deflection, while it is contrary for electrically actuated case.

Keywords

Piezoelectricity composite beam interfacial effect analytical solution

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References

Adam

Heuer

Jeschko

(1997) Flexural vibrations of elastic composite beams with interlayer slip. Acta Mechanica 125: 17–30.

Akdogan

Allahverdi

Safari

(2005) Piezoelectric composites for sensor and actuator applications. IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 52: 746–775.

Anton

Sodano

(2007) A review of power harvesting using piezoelectric materials (2003–2006). Smart Materials and Structures 16: R1–R21.

Chang

Chou

(1999) Electromechanical analysis of an asymmetric piezoelectric/elastic laminate structure: theory and experiment. IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 46: 441–451.

Chee

CYK

Tong

Steven

(1998) A review on the modeling of piezoelectric sensors and actuators incorporated in intelligent structures. Journal of Intelligent Material Systems and Structures 9: 3–19.

Chen

Lee

(2005) Benchmark solution of angle-ply piezoelectric-laminated cylindrical panels in cylindrical bending with weak interfaces. Archive of Applied Mechanics 74: 466–476.

Dietl

Wickenheiser

Garcia

(2010) A Timoshenko beam model for cantilevered piezoelectric energy harvesters. Smart Materials and Structures 19: 055018.

Ding

Chen

(2001) Three Dimensional Problems of Piezoelasticity. New York: Nova Science Publishers.

Erturk

Inman

(2008) On mechanical modeling of cantilevered piezoelectric vibration energy harvesters. Journal of Intelligent Material Systems and Structures 19: 1311–1325.

10.

Harvey

Ghantasala

. (2006) Design, fabrication and testing of piezoelectric polymer PVDF microactuators. Smart Materials and Structures 15: S141–S146.

11.

Gopinathan

Varadan

(2000) A review and critique of theories for piezoelectric laminates. Smart Materials and Structures 9: 24–48.

12.

Heuer

Adam

(2000) Piezoelectric vibrations of composite beams with interlayer slip. Acta Mechanica 140: 247–263.

13.

Huang

Lin

Tang

(2004) Study on the tip-deflection of a piezoelectric bimorph cantilever in the static state. Journal of Micromechanics and Microengineering 14: 530–534.

14.

Huang

Ding

Chen

(2008) Analysis of functionally graded and laminated piezoelectric cantilever actuators subjected to constant voltage. Smart Materials and Structures 17: 065002.

15.

Irschik

(2002) A review on static and dynamic shape control of structures by piezoelectric actuation. Engineering Structures 24: 5–11.

16.

Jiang

Guo

. (2005) Performance of a piezoelectric bimorph for scavenging vibration energy. Smart Materials and Structures 14: 769–774.

17.

Kapuria

Dumir

Ahmed

(2003) An efficient coupled layerwise theory for static analysis of piezoelectric sandwich beams. Archive of Applied Mechanics 73: 147–159.

18.

Krommer

Irschik

(2002) An electromechanically coupled theory for piezoelastic beams taking into account the charge equation of electrostatics. Acta Mechanica 154: 141–158.

19.

Lee

(2009) The shielding effect of the imperfect interface on a mode III permeable crack in a layered piezoelectric sensor. Engineering Fracture Mechanics 76: 876–883.

20.

Kim

Clark

(2009) Theoretical analysis of energy harvesting performance for unimorph piezoelectric bender with interdigitated electrodes. Smart Materials and Structures 18: 055017.

21.

Szewczyk

Shih

(2006) Palpationlike soft-material elastic modulus measurement using piezoelectric cantilevers. Review of Scientific Instruments 77: 044302.

22.

Tressler

Alkoy

Newnham

(1998) Piezoelectric sensors and sensor materials. Journal of Electroceramics 2: 257–272.

23.

Wang

Tang

(2007a) Accurate modeling of a piezoelectric composite beam. Smart Materials and Structures 16: 1595–1602.

24.

Wang

Pan

Roy

(2007b) Scattering of antiplane shear wave by a piezoelectric circular cylinder with an imperfect interface. Acta Mechanica 193: 177–195.

25.

Chen

(2007) Free vibrations of the partial-interaction composite members with axial force. Journal of Sound and Vibration 299: 1074–1093.

26.

Xiang

Shi

(2007) Electrostatic analysis of functionally graded piezoelectric cantilevers. Journal of Intelligent Material Systems and Structures 18: 719–726.

27.

Xiang

Shi

(2008) Static analysis for multi-layered piezoelectric cantilevers. International Journal of Solids and Structures 45: 113–128.

28.

Shih

(2002) Effect of length, width, and mode on the mass detection sensitivity of piezoelectric unimorph cantilevers. Journal of Applied Physics 91: 1680–1686.